Multi-field coupling under-actuated quartz lamp electric heating system temperature mapping control method, system, equipment and medium

Abstract

The invention discloses a multi-field coupling underactuated quartz lamp electric heating system temperature mapping control method, system, equipment and medium, and the method comprises the steps: obtaining a quartz lamp and a test piece, building a nonlinear thermodynamic model of a multi-field coupling underactuated quartz lamp electric heating system, carrying out the online estimation of the state and total disturbance of the quartz lamp electric heating system, and calculating the temperature mapping of the quartz lamp electric heating system. Introducing a barrier function method, mapping each temperature variable to an unconstrained space, obtaining a test piece temperature mapping variable, taking the test piece temperature mapping variable as a control object to design a first control law, generating a control demand of a test piece temperature change rate, and mapping the control demand of the test piece temperature change rate into a quartz lamp temperature change rate instruction; and a second control law is designed and a quartz lamp input power control quantity is calculated by combining a quartz lamp layer thermodynamic model and a disturbance estimation result, so that the temperature of the test piece is converged to a target position in a preset safety interval within a fixed time, and the method has rapidness, robustness and safety.

Description

Technical Field

[0001] This invention relates to the interdisciplinary fields of electrothermal engineering, thermal system modeling and intelligent control, and in particular to a method, system, device and medium for temperature mapping control of a multi-field coupled underactuated quartz lamp electrothermal system. Background Technology

[0002] Currently, due to the advantages of quartz lamp heating systems, they are widely used in industrial applications such as material heat treatment, thermal protection / thermal shock testing, composite material curing, and thermal load simulation. In these applications, the temperature of the test specimen needs to reach the set value rapidly and accurately within a preset safe process window and remain stable, while simultaneously meeting engineering control requirements such as temperature uniformity, overshoot suppression, and anti-interference capabilities. Therefore, control strategies for quartz lamp heating systems have become an important research direction in industrial thermal control systems.

[0003] Existing industrial quartz lamp electrothermal systems exhibit significant multi-field coupling characteristics. These include radiative heat transfer, convective heat transfer, and potential heat conduction channels between the quartz lamp and the test specimen, with radiative heat transfer involving higher-order temperature nonlinearities. Apparent factor coupling, convective heat transfer, and heat conduction coupling also exist between multiple quartz lamps, multiple test specimens, and the system and its environment, resulting in strong nonlinearity, strong coupling, and parameter sensitivity of the overall system. Furthermore, actual operation is affected by various uncertainties, such as variations in the electro-thermal conversion efficiency of the quartz lamp with operating conditions, changes in emissivity with temperature and surface condition, the influence of wind field and layout on the convective heat transfer coefficient, the impact of installation deviations on the geometric apparent factor, and fluctuations in ambient temperature, temperature measurement noise, and temperature measurement lag. These factors collectively cause significant total disturbances and unmodeled dynamics in the system, making the control process prone to overshoot, oscillations, increased steady-state errors, and even temperature exceedances, thus affecting production safety and process consistency.

[0004] Furthermore, in most industrial layouts, the number of quartz lamps often does not match the number of temperature control points on the test specimen. Commonly, the number of quartz lamps is less than the number of temperature control points on the test specimen, resulting in an underactuated system. This means the actuators lack sufficient degrees of freedom to independently and directly adjust all controlled temperature points. Under underactuated conditions, the temperature control requirements of the test specimen need to be indirectly applied to the quartz lamp input power through a coupling channel. Establishing a calculable mapping relationship between the test specimen temperature control target and the quartz lamp control input is a key challenge for achieving high-performance control of underactuated quartz lamp electrothermal systems. Existing engineering control methods often employ empirical power allocation, simple PID / piecewise PID, fixed proportional compensation, or decoupling control based on local linearization. These methods rely on manual tuning and operating condition experience, limiting their adaptability to strong nonlinearity and coupling changes. Simultaneously, they lack online estimation and compensation mechanisms for total disturbances, leading to a significant decrease in control performance when parameters fluctuate or external disturbances intensify.

[0005] Industrial processes often involve test specimens with temperature safety ranges, such as material curing / heat treatment process windows and allowable temperature ranges for structural thermal protection materials. In practical control, relying solely on input saturation or post-processing cutoff to limit temperature can easily lead to control discontinuities, performance degradation, or difficulty in preventing temperature exceedances. Therefore, a control mechanism is needed that explicitly guarantees the temperature remains within a preset safety range at the control design level. While some existing constraint control methods can handle constraints to some extent, they typically suffer from high dependence on model accuracy, significant online computational burden, complex allocation and solution in underactuated scenarios, and difficulty in providing predefined stability guarantees for convergence time. In highly nonlinear, multi-field coupled, and significantly disturbed industrial quartz lamp thermal systems, it is difficult to balance real-time performance, reliability, and engineering practicality.

[0006] Therefore, for multi-field coupled underactuated quartz lamp electrothermal systems in industrial environments, there is a need for a temperature mapping control method that can achieve a calculable mapping between the test specimen temperature and the quartz lamp control input under conditions of strong nonlinear coupling and total disturbance, can estimate and compensate for the total disturbance online, can strictly guarantee temperature constraint safety during the control process, and has clear convergence performance, so as to improve the control accuracy, robustness and test safety of the system and meet the requirements of high-reliability industrial applications. Summary of the Invention

[0007] In view of the above-mentioned existing problems, the present invention provides a method, system, device and medium for temperature mapping control of a multi-field coupled underactuated quartz lamp electrothermal system.

[0008] This invention provides a temperature mapping control method, system, device, and medium for a multi-field coupled underactuated quartz lamp electrothermal system. Under conditions of multi-field coupling, strong nonlinearity, and underactuation, how to achieve a calculable mapping between the temperature of the test specimen and the control input of the quartz lamp in the presence of parameter uncertainties and external disturbances, while ensuring that the temperature is always within a preset safe range, and that the system temperature converges stably within a fixed time and has good robustness.

[0009] To solve the above-mentioned technical problems, the present invention provides the following technical solution: In a first aspect, the present invention provides a temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system, comprising: Obtain the quartz lamp and test piece of the quartz lamp electrothermal system, and establish a nonlinear thermodynamic model of the multi-field coupled underdriven quartz lamp electrothermal system based on the temperature of the quartz lamp and test piece; Based on the aforementioned nonlinear thermodynamic model, the state of the quartz lamp electrothermal system and the corresponding total disturbance are estimated online to obtain the disturbance estimation results. The obstacle function method was introduced for the quartz lamp temperature and the test piece temperature respectively, and each temperature variable was mapped to an unconstrained space to obtain the test piece temperature mapping variable. Using the temperature mapping variable of the test specimen as the control object, a first control law is designed to generate the control requirements of the temperature change rate of the test specimen, and the control requirements of the temperature change rate of the test specimen are mapped to the quartz lamp temperature change rate command. Using the quartz lamp temperature change rate command as the inner layer control reference, and combining the quartz lamp layer thermodynamic model in the nonlinear thermodynamic model and the disturbance estimation results, a second control law is designed, and the quartz lamp input power control quantity is calculated to achieve the convergence of the test piece temperature to the preset safe range target position within a fixed time.

[0010] As a preferred embodiment of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system described in this invention, the nonlinear thermodynamic model of the multi-field coupled underactuated quartz lamp electrothermal system includes: a thermodynamic model of the quartz lamp layer and a thermodynamic model of the test piece layer. The thermodynamic model of the quartz lamp layer uses the quartz lamp temperature as the state variable. The time derivative of the quartz lamp temperature is equal to the heat power term generated by the input electrical power, minus the sum of the heat loss terms caused by the heat transfer mechanism between the quartz lamp and all test pieces, other quartz lamps and the environment. The thermodynamic model of the test specimen layer uses the test specimen temperature as the state variable. The time derivative of the test specimen temperature is equal to the algebraic sum of the heat exchange terms obtained by the test specimen from all quartz lamps, other test specimens, and the environment through the heat transfer mechanism.

[0011] As a preferred embodiment of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electric heating system described in this invention, the online estimation of the state of the quartz lamp electric heating system and the corresponding total disturbance includes: The thermodynamic models of the quartz lamp layer and the test piece layer were rewritten as known nominal model terms plus unknown perturbation terms. Based on the rewritten thermodynamic models of the quartz lamp layer and the test piece layer, the temperature of each quartz lamp and the test piece are estimated online using the extended state observer method, so that the observation error converges within a fixed time.

[0012] The beneficial effects of this preferred technical solution are that it enables online estimation and compensation of total disturbance, thereby improving system robustness and control accuracy.

[0013] As a preferred embodiment of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system described in this invention, the method of introducing barrier functions for both the quartz lamp temperature and the test piece temperature includes: For each quartz lamp temperature and each test specimen temperature, a temperature mapping transformation based on a logarithmic barrier function is introduced to map each temperature variable to the corresponding unconstrained mapping variable. The temperature mapping transformation is such that, in response to the mapping variable remaining bounded during the control process, the corresponding actual temperature is constrained within a preset safe temperature range. By taking the time derivative of the mapped variable, a linear transformation relationship between the rate of change of the mapped variable and the actual rate of change of temperature is established based on the mapped gain function, thereby achieving safe constraint control of the quartz lamp temperature and the test piece temperature.

[0014] The beneficial effects of this preferred technical solution are that it can achieve strict and safe temperature control, prevent overshoot and exceed limits, and ensure the safety of the experiment.

[0015] As a preferred embodiment of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system described in this invention, the method for mapping the control requirements of the test specimen's temperature change rate to a quartz lamp temperature change rate command includes: Based on the temperature mapping variables of the test specimen, an outer sliding surface is constructed, and an outer fixed-time control law is designed to generate virtual control commands for the temperature mapping variables of the test specimen. Based on temperature mapping transformation, the control requirements for the temperature change rate of the test specimen are obtained by inverse solving of virtual control commands. Based on the known nominal model terms of the test specimen layer, construct the sensitivity matrix of the test specimen temperature to the quartz lamp temperature; Under the condition of underactuation, the temperature change rate control requirement of the test specimen is obtained by solving the temperature change rate command of the quartz lamp through the inverse mapping and allocation operation of the sensitivity matrix.

[0016] The beneficial effects of this preferred technical solution are that it can realize underactuated mapping and allocation, solve the problem of insufficient actuators, and ensure coordinated control.

[0017] As a preferred embodiment of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system described in this invention, the calculated quartz lamp input power control quantity includes: The quartz lamp temperature change rate command is used as the inner layer control reference, and the tracking error vector between the actual temperature of the quartz lamp and the reference temperature trajectory is defined. Based on the tracking error, an inner sliding surface of the quartz lamp layer is constructed, and a fixed-time robust tracking control law is designed. Combining the thermodynamic model of the quartz lamp layer and the disturbance estimation results, the input power control quantity of the quartz lamp is calculated by inverse solution based on the fixed-time robust tracking control law. The input power control quantity is applied to the quartz lamp heating system so that the temperature of the test piece converges to the preset safe range target position within a fixed time.

[0018] As a preferred embodiment of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system described in this invention, it further includes: By selecting the observer gain and control law parameters, the expansion state observers of the quartz lamp layer and the test piece layer are proved respectively, and it is found that the corresponding state estimation error and disturbance estimation error converge to the origin or an arbitrarily small neighborhood within a fixed time. The temperature control sliding surface of the outer test piece and the temperature tracking sliding surface of the inner quartz lamp were verified, and it was found that the corresponding variables could converge to zero within a fixed time, thus realizing the temperature mapping control of the multi-field coupled underactuated quartz lamp electrothermal system.

[0019] Secondly, the present invention provides a temperature mapping control system for a multi-field coupled underactuated quartz lamp electrothermal system, comprising: The model building module is used to acquire the quartz lamp and test piece of the quartz lamp electrothermal system, and to establish a nonlinear thermodynamic model of the multi-field coupled underactuated quartz lamp electrothermal system based on the temperature of the quartz lamp and test piece. The estimation module is used to perform online estimation of the state of the quartz lamp electrothermal system and the corresponding total disturbance based on the nonlinear thermodynamic model, and to obtain the disturbance estimation result. The temperature constraint module is used to introduce the barrier function method to the quartz lamp temperature and the test piece temperature respectively, and map each temperature variable to the unconstrained space to obtain the test piece temperature mapping variable. The mapping module is used to take the temperature mapping variable of the test piece as the control object, design the first control law, generate the control requirements of the temperature change rate of the test piece, and map the control requirements of the temperature change rate of the test piece into the quartz lamp temperature change rate command. The control module is used to take the temperature change rate command of the quartz lamp as the inner layer control reference, combine the thermodynamic model of the quartz lamp layer in the nonlinear thermodynamic model and the disturbance estimation results, design the second control law, calculate the quartz lamp input power control quantity, and realize the temperature of the test piece converges to the preset safe range target position within a fixed time.

[0020] Thirdly, the present invention provides a computer device, including a memory and a processor, wherein the memory stores a computer program, characterized in that the processor executes the computer program to implement the steps of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system.

[0021] Fourthly, the present invention provides a computer-readable storage medium having a computer program stored thereon, characterized in that, when the computer program is executed by a processor, it implements the steps of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electric heating system.

[0022] Compared with existing technologies, the beneficial effects of this invention are as follows: By constructing a unified nonlinear model of a multi-field coupled underactuated quartz lamp electrothermal system and introducing a temperature mapping mechanism, a fixed-time extended state observer, and an outer-inner layered control structure, this invention achieves a calculable mapping between the temperature control requirements of the test specimen and the control input of the quartz lamp, effectively solving the problem of temperature distribution and coordinated control under underactuated conditions. Simultaneously, through a logarithmic barrier-like temperature mapping, the temperatures of the test specimen and the quartz lamp are strictly limited within a preset safe range throughout the entire control process, avoiding the risk of exceeding limits and performance degradation caused by traditional limiting or post-cutoff methods. Furthermore, the proposed fixed-time robust control strategy can achieve rapid and stable convergence of the system temperature within a predetermined time independent of initial conditions. Combined with the extended state observer, it performs online estimation and compensation of the total disturbance, significantly improving the control accuracy, robustness, and engineering applicability of the system under parameter uncertainty, external disturbances, and changing operating conditions. Attached Figure Description

[0023] To more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0024] Figure 1A schematic diagram of the overall flow logic of a temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system provided in an embodiment of the present invention; Figure 2 Simulation results of a temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system provided in one embodiment of the present invention; Figure 3 Simulation results of a PID comparison method for a temperature mapping control method of a multi-field coupled underactuated quartz lamp electric heating system provided in an embodiment of the present invention. Detailed Implementation

[0025] To make the above-mentioned objects, features, and advantages of the present invention more apparent and understandable, specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of the present invention, and not all of them. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort should fall within the protection scope of the present invention.

[0026] Example 1, referring to Figure 1 As an embodiment of the present invention, a temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system is provided, comprising: S100: Obtain the quartz lamp and test piece of the quartz lamp electrothermal system, and establish a nonlinear thermodynamic model of the multi-field coupled underdriven quartz lamp electrothermal system based on the temperature of the quartz lamp and test piece; In this embodiment of the invention, the multi-field coupled underdriven quartz lamp electrothermal system includes A quartz lamp and In each test piece, a quartz lamp serves as the sole controlled heat source, and the test piece is the object being heated. Simultaneous radiative heat transfer, convective heat transfer, and thermal conduction coupling occur between the quartz lamp and the test piece, between the quartz lamps, between the test pieces, and between each of them and the environment, thus forming a multi-field coupled underdriven electrothermal system.

[0027] Based on the temperature of each quartz lamp Temperature of each test piece As system state variables, , A nonlinear thermodynamic model of a multi-field coupled underdriven quartz lamp electrothermal system was established.

[0028] S200: Based on a nonlinear thermodynamic model, the state of the quartz lamp electrothermal system and the corresponding total disturbance are estimated online to obtain the disturbance estimation results; S300: The barrier function method is introduced for the quartz lamp temperature and the test piece temperature respectively, and each temperature variable is mapped to an unconstrained space to obtain the test piece temperature mapping variable; In one optional embodiment, the barrier function method can be an inverse barrier function temperature mapping transformation, defining upper and lower boundaries of the safe temperature range for each quartz lamp temperature and test specimen temperature. A temperature mapping transformation in the form of an inverse barrier function is constructed, mapping the temperature variable to an unconstrained mapping variable. When the actual temperature approaches the safe boundary, the mapping gain automatically increases to generate a repulsive effect, ensuring that the actual temperature is strictly constrained within the preset safe range when the mapping variable is bounded. The derivative of the mapping variable is calculated to establish the transformation relationship between the rate of change of the mapping variable and the rate of change of the actual temperature. In another alternative embodiment, the barrier function method can also be a fractional power barrier function temperature mapping transformation, determining the upper and lower limits of the safe temperature range for each quartz lamp temperature and test specimen temperature. A fractional power barrier function is constructed for temperature mapping transformation, converting the constrained temperature variable into an unconstrained mapping variable. The mapping exhibits adaptive gain characteristics when the temperature approaches the boundary, ensuring that the actual temperature does not exceed the limit. By taking the time derivative of the mapping variable, a nonlinear transformation relationship between the rate of change of the mapping variable and the rate of change of the actual temperature is obtained, achieving safe constraint control of the temperature. In this embodiment of the invention, the barrier function method includes a temperature mapping transformation based on a logarithmic barrier function; Specifically, for each quartz lamp temperature and test specimen temperature, upper and lower limits of the safe temperature range are defined. A mapping transformation in the form of a logarithmic barrier function is constructed to convert the constrained temperature variable into an unconstrained mapping variable. Utilizing the infinity property of the logarithmic function at the boundary, as the actual temperature approaches the safe boundary, the mapping gain automatically tends to infinity, generating a strong repulsive effect, ensuring that the actual temperature is strictly constrained within the preset safe range when the mapping variable is bounded. By differentiating the mapping variable, a nonlinear transformation relationship between the rate of change of the mapping variable and the rate of change of the actual temperature is established.

[0029] S400: The test specimen temperature mapping variable is used as the control object. The first control law is designed to generate the control requirements of the test specimen temperature change rate and map the control requirements of the test specimen temperature change rate into the quartz lamp temperature change rate command. In one optional embodiment, the first control law can be an outer backstepping control law, using the test specimen temperature mapping variable as the controlled object and defining a tracking error. Through recursive design, a virtual control quantity is constructed as the expected rate of change of the test specimen temperature mapping variable, and a Lyapunov function is introduced to ensure system stability. The control requirements for the test specimen temperature change rate are obtained step-by-step through back-reasoning, and combined with the inverse solution relationship of the temperature mapping transformation, asymptotic tracking control of the test specimen temperature is achieved. In another alternative embodiment, the first control law can also be an outer adaptive control law, using the test specimen temperature mapping variable as the controlled object and defining the tracking error. An adaptive law is designed to estimate the upper bound of uncertain parameters or time-varying disturbances in the system online, constructing a control law containing adaptive compensation terms. Through Lyapunov stability analysis, the convergence of the tracking error is ensured, and virtual control commands for the test specimen temperature mapping variable are generated. In this embodiment of the invention, the first control law includes an outer fixed-time control law; Specifically, based on the temperature mapping variables of the test specimen, an outer sliding surface is defined, and a fixed-time reaching law of the Polyakov form is constructed to make the sliding variable converge within a predetermined time independent of the initial conditions.

[0030] By combining the reaching law with the sliding surface derivative, the quasi-steady-state equivalent solution of the virtual control quantity is obtained, and the virtual control command for the temperature mapping variable of the test piece is generated.

[0031] By inversely solving the temperature mapping transformation, the virtual control commands are converted into control requirements for the temperature change rate of the test specimen, so that the temperature of the test specimen can quickly and stably converge to the target range within a fixed time.

[0032] S500: Using the quartz lamp temperature change rate command as the inner layer control reference, and combining the quartz lamp layer thermodynamic model and disturbance estimation results in the nonlinear thermodynamic model, a second control law is designed, and the quartz lamp input power control quantity is calculated to achieve the convergence of the test piece temperature to the preset safe range target position within a fixed time.

[0033] In one optional embodiment, the second control law can be a fixed-time backstepping control law. The quartz lamp temperature tracking error is defined, and a virtual control quantity is constructed as the desired temperature change rate. A Lyapunov function is introduced through recursive design to construct a fixed-time stable virtual control law, enabling the tracking error to converge within a predetermined time. Combining the thermodynamic model of the quartz lamp layer with the disturbance estimation results, the inverse solution yields the quartz lamp input power control quantity, achieving fixed-time convergence of the temperature tracking error. In another alternative embodiment, the second control law can also be a fixed-time adaptive control law. The quartz lamp temperature tracking error is defined, and an adaptive law is designed to estimate the uncertain parameters or disturbance boundaries of the system online. A fixed-time control law containing adaptive compensation terms is constructed, and Lyapunov stability analysis is used to ensure that the tracking error converges within a fixed time. Combining the disturbance estimation results with the thermodynamic model, the quartz lamp input power control quantity is calculated using inverse kinematics. In this embodiment of the invention, the second control law includes a fixed-time robust tracking control law; Specifically, using the quartz lamp temperature change rate command as the inner layer control reference, the quartz lamp temperature tracking error is defined. An inner layer sliding surface is constructed, and a Polyakov-form fixed-time reaching law is selected to ensure the tracking error converges within a predetermined time independent of initial conditions. Combining the thermodynamic model of the quartz lamp layer with the perturbation estimation results from the extended state observer, the reaching law and tracking error are dynamically combined, and the inverse solution yields the quartz lamp input power control quantity, achieving fixed-time robust tracking of the quartz lamp temperature to the reference trajectory.

[0034] It should be noted that by establishing a multi-field coupled nonlinear model, a fixed-time extended state observer is used to achieve online estimation and compensation of the total disturbance. A logarithmic barrier function is introduced to ensure that the temperature is strictly constrained within a safe range. An outer-inner layered control structure is designed to achieve underactuated mapping and allocation, enabling the temperature of the test specimen to converge to the target position within a fixed time. This invention effectively solves the temperature control problem under strongly coupled and underactuated conditions, and combines speed, robustness, and safety.

[0035] In this embodiment of the invention, step S100 includes the following sub-steps A1-A2; In A1: The thermodynamic model of the quartz lamp layer uses the quartz lamp temperature as the state variable. The time derivative of the quartz lamp temperature is equal to the heat power term generated by the input electrical power, minus the sum of the heat loss terms caused by the heat transfer mechanism between the quartz lamp and all test pieces, other quartz lamps and the environment. In A2: The thermodynamic model of the test specimen layer uses the test specimen temperature as the state variable. The time derivative of the test specimen temperature is equal to the algebraic sum of the heat exchange terms obtained by the test specimen from all quartz lamps, other test specimens, and the environment through the heat transfer mechanism.

[0036] In this embodiment of the invention, the nonlinear thermodynamic model includes a thermodynamic model of the quartz lamp layer and a thermodynamic model of the test piece layer. The thermodynamic models of the quartz lamp layer and the test piece layer are represented by equations, and the heat transfer mechanisms include radiative heat transfer, convective heat transfer, and conduction heat transfer.

[0037] Specifically, the dynamic equation for the temperature of the quartz lamp layer is expressed as: in, For the first The temperature of a quartz lamp, For the first The input power control quantity of a quartz lamp. The equivalent heat capacity of a single quartz lamp. For electrothermal conversion efficiency, The surface emissivity of the quartz lamp. The Stefan-Boltzmann constant is given. This refers to the effective radiation area of ​​the quartz lamp. , , These are the apparent radiation factors between the quartz lamp and the test specimen, between quartz lamps, and between the quartz lamp and the environment, respectively. , , These represent the convective heat transfer coefficients between the quartz lamp and the test specimen, between quartz lamps, and between the quartz lamp and the environment, respectively. , , These represent the thermal resistances between the quartz lamp and the test piece, between quartz lamps, and between the quartz lamp and the environment. For ambient temperature, Temperature of the quartz lamp mounting base.

[0038] The dynamic equation for the layer temperature of the test specimen is expressed as: in, For the first The temperature of each test piece, For the equivalent heat capacity of a single test specimen, The surface emissivity of the test specimen, The effective heat transfer area of ​​the test specimen. , These are the apparent radiation factors between test specimens and between the test specimen and the environment, respectively. , These are the convective heat transfer coefficients between test specimens and between the test specimens and the environment, respectively. , These are the thermal resistances between test specimens and between the test specimens and the environment, respectively. Set the temperature of the test specimen mounting base.

[0039] in addition, The apparent radiation factors between the quartz lamp and the test specimen, between quartz lamps, and between test specimens satisfy a reciprocal relationship. .

[0040] It should be noted that by establishing a multi-field coupled nonlinear model, the radiation-convection-heat conduction coupling characteristics can be accurately characterized, providing a precise model basis for subsequent disturbance estimation, constraint control and underactuated mapping, thereby improving the pertinence and effectiveness of control design.

[0041] In this embodiment of the invention, step S200 includes the following sub-steps B1-B2; In B1: The thermodynamic models of the quartz lamp layer and the test piece layer are rewritten as known nominal model terms plus unknown perturbation terms; In B2: Based on the rewritten thermodynamic model of the quartz lamp layer and the thermodynamic model of the test piece layer, the temperature of each quartz lamp and the temperature of the test piece are estimated online using the extended state observer method, so that the observation error converges within a fixed time.

[0042] In this embodiment of the invention, the first The temperature dynamic equation of a quartz lamp can be rewritten as follows: The first The temperature dynamic equation for the test specimen can be rewritten as follows: in, Let be the temperature vector of the quartz lamp. For the temperature vector of the test specimen, For the first The known nominal model terms of a quartz lamp are taken as the right-hand side of the quartz lamp layer equation excluding the input terms. Other deterministic terms, For the first The known nominal model terms of each test specimen are taken as the deterministic terms on the right-hand side of the test specimen's layer equations divided by... , and This is an unknown disturbance term used to characterize the combined effects of parameter uncertainty, unmodeled heat transfer, external disturbances, and measurement noise.

[0043] and Specifically, it is expressed as follows: In one alternative embodiment, the extended state observer method can be a linear extended state observer. For each quartz lamp temperature and specimen temperature, a linear extended state observer is designed to expand the unknown disturbance into a new state variable. By configuring the observer bandwidth parameter, the observation error converges asymptotically in an exponential manner, enabling online estimation of the system state and the total disturbance. In another alternative embodiment, the extended state observer method can also be a nonlinear extended state observer. For each quartz lamp temperature and specimen temperature, a nonlinear extended state observer is designed, introducing a nonlinear error correction term to replace the linear correction term. By selecting an appropriate nonlinear function form, the observation error converges within a finite time, and the convergence speed is better than that of a linear observer, achieving rapid online estimation of the system state and total disturbance. In this embodiment of the invention, the extended state observer method includes constructing a fixed-time extended state observer; Specifically, for the temperature of each quartz lamp The fixed-time extended state observer is constructed as follows: in, This is an estimated value for the quartz lamp temperature. This is the estimated total disturbance of the quartz lamp. For observation error, , For observer gain parameters, For fixed-time structure index, It is a symbolic function.

[0044] Temperature of each test piece The fixed-time extended state observer is constructed as follows: in, This is an estimated temperature value for the test specimen. This is the estimated total disturbance of the test specimen. For observation error, , , , This is the observer gain parameter.

[0045] It should be noted that by rewriting the nonlinear thermodynamic model as the sum of known nominal model terms and unknown disturbance terms, and constructing a fixed-time extended state observer, the total disturbance can be expanded into new state variables for online estimation. By configuring the fixed-time structure exponent and gain parameters, the observation error converges within a predetermined time independent of the initial conditions, achieving real-time compensation for parameter uncertainties, unmodeled dynamics, and external disturbances, significantly improving system robustness and control accuracy.

[0046] In this embodiment of the invention, step S300 includes the following sub-steps C1-C3; In C1: For each quartz lamp temperature and each test piece temperature, a temperature mapping transformation based on a logarithmic barrier function is introduced to map each temperature variable to the corresponding unconstrained mapping variable. In C2: the temperature mapping transformation is such that, in response to the mapping variable remaining bounded during the control process, the corresponding actual temperature is constrained within a preset safe temperature range; In C3: By taking the time derivative of the mapped variable, a linear transformation relationship between the rate of change of the mapped variable and the actual rate of change of temperature is established based on the mapped gain function, thereby achieving safe constraint control of the quartz lamp temperature and the test piece temperature.

[0047] In this embodiment of the invention, for the first The temperature of a quartz lamp Introducing a temperature mapping transformation, it can be represented as: For the first Temperature of each test piece Introducing a temperature mapping transformation, it can be represented as: in, For the first The temperature mapping variable corresponding to each quartz lamp, For the first Temperature mapping variables corresponding to each test piece , The first The minimum and maximum safe temperatures allowed for a quartz lamp. , The first The minimum and maximum safe temperatures allowed for each test piece.

[0048] By using a temperature mapping transformation based on a logarithmic barrier function, when the mapping variable... and When the control process remains bounded, the corresponding quartz lamp temperature is... With test piece temperature Always strictly meet: This allows for safe constraint control of the quartz lamp temperature and the test piece temperature without introducing explicit input saturation or state truncation.

[0049] Taking the time derivative of the mapped variable, we get: in, This is the temperature-mapped gain function for the quartz lamp. This is the temperature-mapped gain function for the test specimen.

[0050] The mapped gain function automatically increases as the temperature approaches its upper and lower limits to enhance the control effect.

[0051] It should be noted that the logarithmic barrier function is used to achieve strict temperature safety constraints, and the control effect is automatically enhanced at the boundary to avoid the discontinuity caused by explicit limiting, thus ensuring temperature safety and control smoothness throughout the experiment.

[0052] In this embodiment of the invention, step S400 includes the following sub-steps D1-D4; In D1: Based on the temperature mapping variables of the test specimen, construct the outer sliding surface, design the outer fixed-time control law, and generate virtual control instructions for the temperature mapping variables of the test specimen. In D2: Based on temperature mapping transformation, the control requirements for the temperature change rate of the test specimen are obtained by inverse solving of virtual control commands; In D3: Construct the sensitivity matrix of the test specimen temperature to the quartz lamp temperature based on the known nominal model terms of the test specimen layer; In D4: Under the condition of underactuation, the control requirements of the temperature change rate of the test specimen are obtained by solving the temperature change rate command of the quartz lamp through the inverse mapping and allocation operation of the sensitivity matrix.

[0053] In this embodiment of the invention, the temperature mapping variable of the test specimen is used as the basis. Define the temperature mapping variable vector of the test specimen as And a virtual control quantity is introduced for the temperature mapping variable of the test specimen. Based on the virtual control quantity, the outer sliding surface is constructed as follows: in, For outer sliding mode variables, These are the parameters of the sliding surface.

[0054] Taking the time derivative with respect to the sliding surface, we get According to the definition of virtual control quantity , can be obtained .

[0055] To ensure that the outer sliding mode variable converges within a fixed time independent of the initial conditions, a Polyakov-form fixed-time reaching law is chosen, expressed as: in, This is a fixed-time control parameter.

[0056] Equating the expression for the sliding surface derivative with the fixed-time reaching law, we obtain: Among them, during the sliding mode arrival and holding phase, the following conditions are met: and At this point, the virtual control quantity takes its equivalent control solution. To unify the control form of the sliding mode arrival and holding stages, the fixed-time approach term is incorporated into the equivalent control expression, resulting in the quasi-steady-state equivalent solution of the virtual control quantity: The chain relationship of temperature mapping transformation can be expressed as follows: in, The temperature mapping gain matrix of the test specimen. Therefore, the control requirements for the temperature change rate of the test specimen are obtained by inverse solution: .

[0057] Based on the nominal temperature model term of the test specimen The sensitivity matrix of the test specimen temperature to the quartz lamp temperature is expressed as follows: Under the meaning of disturbance compensation, the dynamic relationship of the test specimen temperature is expressed as: in, This is the estimate of the total perturbation of the test specimen obtained by the fixed-time extended state observer.

[0058] Requirements for controlling the temperature change rate of the test specimen Substituting the mapping relationship, under the underactuated condition The following is a calculation of the quartz lamp temperature change rate command by performing a weighted regularized pseudo-inverse operation on the sensitivity matrix: in, ,and This is the command for the rate of temperature change of the quartz lamp. Weighting of each lamp's operation / energy consumption. Anti-singularity and noise.

[0059] It should be noted that by constructing an outer sliding mode surface and a fixed-time convergence law, the sliding mode variables are rapidly converged; by inverting the sensitivity matrix and performing weighted pseudo-inverse operations, the underactuated mapping problem is solved, and the quartz lamp temperature change rate command is generated to ensure coordinated temperature control of the test specimen.

[0060] In this embodiment of the invention, step S500 includes the following sub-steps E1-E4; In E1: The quartz lamp temperature change rate command is used as the inner layer control reference, and the tracking error vector between the actual temperature of the quartz lamp and the reference temperature trajectory is defined. In E2: Based on the tracking error, the inner sliding surface of the quartz lamp layer is constructed, and a fixed-time robust tracking control law is designed; In E3: Combining the thermodynamic model of the quartz lamp layer and the disturbance estimation results, the input power control quantity of the quartz lamp is calculated by inverse solution based on the fixed-time robust tracking control law; In E4: The input power control quantity is applied to the quartz lamp heating system so that the temperature of the test piece converges to the preset safe range target position within a fixed time.

[0061] In this embodiment of the invention, the quartz lamp temperature change rate command is used. As the inner layer control reference, the quartz lamp temperature tracking error vector is defined as: in, This represents the actual temperature vector of the quartz lamp. For the reason The reference temperature trajectory obtained through time integration or equivalent update; Based on the tracking error, the inner sliding surface of the quartz lamp layer is constructed as follows: in, These are the parameters for the inner sliding surface.

[0062] To ensure that the temperature tracking error of the quartz lamp converges within a fixed time, the following Polyakov-form fixed-time reaching law is chosen: in, .

[0063] Combining the thermodynamic model of the quartz lamp layer with the disturbance estimation results, and based on the reaching law, the inverse solution yields the quartz lamp input power control quantity as follows: It should be noted that by constructing the inner sliding surface and the fixed-time approach law, combined with disturbance estimation compensation, the input power control quantity is obtained by inverse solution, realizing the rapid and robust tracking of the quartz lamp temperature to the reference trajectory, and ensuring that the temperature of the test piece converges to the target position within a fixed time.

[0064] In this embodiment of the invention, after completing steps E1-E4, step S500 also includes steps E5-E6. In E5: By selecting the observer gain and control law parameters, the extended state observers of the quartz lamp layer and the test piece layer are proved respectively, and it is found that the corresponding state estimation error and disturbance estimation error converge to the origin or an arbitrarily small neighborhood within a fixed time. In E6: the sliding surface for temperature control of the outer test piece and the sliding surface for temperature tracking of the inner quartz lamp were proven to converge to zero within a fixed time, thus realizing the temperature mapping control of the multi-field coupled underactuated quartz lamp electrothermal system.

[0065] In this embodiment of the invention, the stability of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system is demonstrated as follows: Suppose that there exists a constant. Both are greater than 0, such that: Initial values ​​for the mapped security domain: Realizability and boundedness of temperature sensitivity mapping: In the work domain superior, Uniformly reversible ( (Given a regular expression guarantee), and Bounded.

[0066] If it exists such that for some positive definite function have: The system converges to the origin within a fixed time, and the convergence time satisfies the upper bound: For example, consider a quartz lamp layer.

[0067] Define the perturbation estimation error: Observation error The error dynamics are obtained by subtracting the observer from the model: at the same time: Get the Lyapunov function: Differentiate with respect to time: Substitute into the error equation: Using inequalities (any) The calculation yielded the following: as well as: at the same time: This option can be selected. and The proportions and Young's inequality are used to incorporate them. and In the end, we can obtain the existence constant. make: When the gain is chosen such that the negative term dominates or the constant term is incorporated into the region of convergence under bounded perturbation derivatives, a fixed-time convergence to an adjustable small neighborhood is obtained; if the standard "total perturbation expansion" is further sampled and set... If it can be covered by a design margin, the neighborhood can be arbitrarily shrunk, thus achieving implementation in a fixed time. By the lemma, the upper bound of the observer's fixed time is: Similarly, the test piece layers were obtained. .

[0068] make Then in After that, the perturbation estimation error converges to an arbitrary small neighborhood.

[0069] Prove the sliding surface Stability includes: Get the Lyapunov function: Differentiate with respect to time: Substitution : Using the norm power inequality, there exists a constant have to: Bundle use express: ,have to: make but By Polyakov's lemma, it converges to zero in a fixed time, and the convergence time is: Prove the sliding surface Stability includes: Substituting the control law into the model, we get: The error equation is: sliding surface Substituting, we get: Get the Lyapunov function: Further calculations yielded: thereby The convergence time is: Convergence time is .

[0070] It should be noted that, based on Lyapunov theory and the fixed-time stability lemma, the fixed-time convergence of the observer, sliding surface, and tracking error is rigorously proven, and an upper bound on the convergence time is given to ensure the global stability and predetermined performance of the system.

[0071] The above is a schematic scheme of a temperature mapping control method for a multi-field coupled underactuated quartz lamp heating system according to this embodiment. It should be noted that the technical solution of this multi-field coupled underactuated quartz lamp heating system temperature mapping control system belongs to the same concept as the technical solution of the aforementioned multi-field coupled underactuated quartz lamp heating system temperature mapping control method. Details not described in detail in this embodiment can be found in the description of the aforementioned multi-field coupled underactuated quartz lamp heating system temperature mapping control method.

[0072] In this embodiment, the temperature mapping control system for the multi-field coupled underactuated quartz lamp electrothermal system includes: The model building module is used to acquire the quartz lamp and test piece of the quartz lamp electrothermal system, and to establish a nonlinear thermodynamic model of the multi-field coupled underactuated quartz lamp electrothermal system based on the temperature of the quartz lamp and test piece. The estimation module is used to perform online estimation of the state of the quartz lamp electrothermal system and the corresponding total disturbance based on the nonlinear thermodynamic model, and to obtain the disturbance estimation result. The temperature constraint module is used to introduce the barrier function method to the quartz lamp temperature and the test piece temperature respectively, and map each temperature variable to the unconstrained space to obtain the test piece temperature mapping variable. The mapping module is used to take the temperature mapping variable of the test piece as the control object, design the first control law, generate the control requirements of the temperature change rate of the test piece, and map the control requirements of the temperature change rate of the test piece into the quartz lamp temperature change rate command. The control module is used to take the temperature change rate command of the quartz lamp as the inner layer control reference, combine the thermodynamic model of the quartz lamp layer in the nonlinear thermodynamic model and the disturbance estimation results, design the second control law, calculate the quartz lamp input power control quantity, and realize the temperature of the test piece converges to the preset safe range target position within a fixed time.

[0073] This embodiment also provides a computer device suitable for temperature mapping control of a multi-field coupled underactuated quartz lamp electrothermal system, including: The system includes a memory and a processor. The memory stores computer-executable instructions, and the processor executes these instructions to implement a temperature mapping control method for a multi-field coupled underactuated quartz lamp heating system as proposed in the above embodiments.

[0074] This embodiment also provides a storage medium storing a computer program that, when executed by a processor, implements a temperature mapping control method for a multi-field coupled underactuated quartz lamp heating system as proposed in the above embodiment.

[0075] The storage medium proposed in this embodiment and the method for temperature mapping control of a multi-field coupled underactuated quartz lamp electrothermal system proposed in the above embodiments belong to the same inventive concept. Technical details not described in detail in this embodiment can be found in the above embodiments, and this embodiment has the same beneficial effects as the above embodiments.

[0076] Based on the above description of the implementation methods, those skilled in the art can clearly understand that the present invention can be implemented using software and necessary general-purpose hardware, and of course, it can also be implemented using hardware. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as a computer floppy disk, read-only memory (ROM), random access memory (RAM), flash memory, hard disk, or optical disk, etc., including several instructions to cause a computing device (which may be a personal computer, server, or network device, etc.) to execute the methods of the various embodiments of the present invention.

[0077] Example 2, refer to Figures 2-3This embodiment differs from the first embodiment and provides a verification test of a temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system, verifying and explaining the technical effects used in this method.

[0078] A simulation comparison test was conducted with a PID controller. A quartz lamp Taking a multi-field coupled underdriven electrothermal system of a test piece as an example, the parameter settings of the temperature mapping control method of the present invention are explained, specifically as follows: like Figure 2 As shown, under the same multi-field coupled underactuated quartz lamp electrothermal system and the same initial conditions, the temperatures of five test pieces using the method of this invention are... The dynamic response results. From Figure 2 As can be seen, during the heating phase, the temperature of each test piece can rise rapidly and synchronously from the initial temperature and steadily approach the target reference temperature. Furthermore, the temperature changes were continuous throughout the process, without any significant drastic fluctuations or abrupt changes. Simultaneously, as the temperature approached the target temperature, the temperature of each test piece gradually stabilized and remained near the reference temperature, without exceeding the maximum safe temperature of the test piece. The results show that the present invention effectively ensures the safety and consistency of the test piece temperature during the control process through temperature mapping and constraint control design.

[0079] like Figure 3 As shown, under the same system model and operating conditions, the dynamic response of the test specimen temperature using the traditional PID control method is as follows. It can be seen that in the initial stage of heating, PID control can also drive the test specimen temperature to rise rapidly. However, in the stage approaching the target temperature, the temperatures of each test specimen exhibit significant overshoot, with some temperatures approaching or exceeding the target reference temperature and encroaching on the upper limit of the maximum safe temperature. Over a relatively long period, the test specimen temperature gradually decreases and tends to stabilize, with a slow overall convergence process. Furthermore, there are certain differences in the temperature response between different test specimens, reflecting that under underactuated, multi-field coupling conditions, traditional PID control struggles to simultaneously balance speed, stability, and temperature safety constraints.

[0080] The comparison results show the dynamic temperature response of the test specimens under the same system model and operating conditions when using the traditional PID control method. It can be seen that in the initial stage of heating, PID control can also drive the specimen temperature to rise rapidly. However, as the temperature approaches the target temperature, significant overshoot occurs in each specimen, with some temperatures approaching or exceeding the target reference temperature and encroaching on the upper limit of the maximum safe temperature. Subsequently, the specimen temperature gradually decreases and stabilizes over a relatively long period, with a slow overall convergence process. Furthermore, there are certain differences in temperature response between different specimens, reflecting that under underactuated, multi-field coupling conditions, traditional PID control struggles to simultaneously balance speed, stability, and temperature safety constraints.

[0081] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit it. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all such modifications or substitutions should be covered within the scope of the claims of the present invention.

Claims

1. A temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system, characterized in that, include: Obtain the quartz lamp and test piece of the quartz lamp electrothermal system, and establish a nonlinear thermodynamic model of the multi-field coupled underdriven quartz lamp electrothermal system based on the temperatures of the quartz lamp and test piece; Based on the aforementioned nonlinear thermodynamic model, the state of the quartz lamp electrothermal system and the corresponding total disturbance are estimated online to obtain the disturbance estimation results. By introducing the obstacle function method for the quartz lamp temperature and the test piece temperature respectively, each temperature variable is mapped to an unconstrained space to obtain the test piece temperature mapping variable; Using the temperature mapping variable of the test specimen as the control object, a first control law is designed to generate the control requirements of the temperature change rate of the test specimen, and the control requirements of the temperature change rate of the test specimen are mapped to the quartz lamp temperature change rate command. Using the quartz lamp temperature change rate command as the inner layer control reference, and combining the quartz lamp layer thermodynamic model in the nonlinear thermodynamic model and the disturbance estimation results, a second control law is designed, and the quartz lamp input power control quantity is calculated to achieve the convergence of the test piece temperature to the preset safe range target position within a fixed time.

2. The temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system as described in claim 1, characterized in that, A nonlinear thermodynamic model of a multi-field coupled underdriven quartz lamp electrothermal system was established, including: a thermodynamic model of the quartz lamp layer and a thermodynamic model of the test piece layer; The thermodynamic model of the quartz lamp layer uses the quartz lamp temperature as the state variable. The time derivative of the quartz lamp temperature is equal to the heat power term generated by the input electrical power, minus the sum of the heat loss terms caused by the heat transfer mechanism between the quartz lamp and all test pieces, other quartz lamps and the environment. The thermodynamic model of the test specimen layer uses the test specimen temperature as the state variable. The time derivative of the test specimen temperature is equal to the algebraic sum of the heat exchange terms obtained by the test specimen from all quartz lamps, other test specimens and the environment through the heat transfer mechanism.

3. The temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system as described in claim 2, characterized in that, Online estimation of the state of the quartz lamp electrothermal system and the corresponding total disturbance, including: The thermodynamic models of the quartz lamp layer and the test piece layer were rewritten as known nominal model terms plus unknown perturbation terms. Based on the rewritten thermodynamic models of the quartz lamp layer and the test piece layer, the temperature of each quartz lamp and the test piece are estimated online using the extended state observer method, so that the observation error converges within a fixed time.

4. The temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system as described in claim 3, characterized in that, The barrier function method was introduced for both the quartz lamp temperature and the test specimen temperature, including: For each quartz lamp temperature and each test specimen temperature, a temperature mapping transformation based on a logarithmic barrier function is introduced to map each temperature variable to the corresponding unconstrained mapping variable. The temperature mapping transformation is such that, in response to the mapping variable remaining bounded during the control process, the corresponding actual temperature is constrained within a preset safe temperature range. By taking the time derivative of the mapped variable, a linear transformation relationship between the rate of change of the mapped variable and the actual rate of change of temperature is established based on the mapped gain function, thereby achieving safe constraint control of the quartz lamp temperature and the test piece temperature.

5. The temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system as described in claim 4, characterized in that, Mapping the control requirements for the temperature change rate of the test specimen to the quartz lamp temperature change rate command includes: Based on the temperature mapping variables of the test specimen, an outer sliding surface is constructed, and an outer fixed-time control law is designed to generate virtual control commands for the temperature mapping variables of the test specimen. Based on temperature mapping transformation, the control requirements for the temperature change rate of the test specimen are obtained by inverse solving of virtual control commands. Based on the known nominal model terms of the test specimen layer, construct the sensitivity matrix of the test specimen temperature to the quartz lamp temperature; Under the condition of underactuation, the temperature change rate control requirement of the test specimen is obtained by solving the temperature change rate command of the quartz lamp through the inverse mapping and allocation operation of the sensitivity matrix.

6. The temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system as described in claim 5, characterized in that, The calculated input power control parameters for the quartz lamp include: The quartz lamp temperature change rate command is used as the inner layer control reference, and the tracking error vector between the actual temperature of the quartz lamp and the reference temperature trajectory is defined. Based on the tracking error, an inner sliding surface of the quartz lamp layer is constructed, and a fixed-time robust tracking control law is designed. Combining the thermodynamic model of the quartz lamp layer and the disturbance estimation results, the input power control quantity of the quartz lamp is calculated by inverse solution based on the fixed-time robust tracking control law. The input power control quantity is applied to the quartz lamp heating system so that the temperature of the test piece converges to the preset safe range target position within a fixed time.

7. A temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system as described in any one of claims 1-6, characterized in that, Also includes: By selecting the observer gain and control law parameters, the expansion state observers of the quartz lamp layer and the test piece layer are proved respectively, and it is found that the corresponding state estimation error and disturbance estimation error converge to the origin or an arbitrarily small neighborhood within a fixed time. The temperature control sliding surface of the outer test piece and the temperature tracking sliding surface of the inner quartz lamp were verified, and it was found that the corresponding variables could converge to zero within a fixed time, thus realizing the temperature mapping control of the multi-field coupled underactuated quartz lamp electrothermal system.

8. A temperature mapping control system for a multi-field coupled underactuated quartz lamp heating system, employing the temperature mapping control method for a multi-field coupled underactuated quartz lamp heating system as described in any one of claims 1-7, characterized in that, include: The model building module is used to acquire the quartz lamp and test piece of the quartz lamp electrothermal system, and to establish a nonlinear thermodynamic model of the multi-field coupled underactuated quartz lamp electrothermal system based on the temperature of the quartz lamp and test piece. The estimation module is used to perform online estimation of the state of the quartz lamp electrothermal system and the corresponding total disturbance based on the nonlinear thermodynamic model, and to obtain the disturbance estimation result. The temperature constraint module is used to introduce the barrier function method to the quartz lamp temperature and the test piece temperature respectively, and map each temperature variable to the unconstrained space to obtain the test piece temperature mapping variable. The mapping module is used to take the temperature mapping variable of the test piece as the control object, design the first control law, generate the control requirements of the temperature change rate of the test piece, and map the control requirements of the temperature change rate of the test piece into the quartz lamp temperature change rate command. The control module is used to take the temperature change rate command of the quartz lamp as the inner layer control reference, combine the thermodynamic model of the quartz lamp layer in the nonlinear thermodynamic model and the disturbance estimation results, design the second control law, calculate the quartz lamp input power control quantity, and realize the temperature of the test piece converges to the preset safe range target position within a fixed time.

9. A computer device, characterized in that, include: A memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to implement the steps of the temperature mapping control method for a multi-field coupled underactuated quartz lamp electrothermal system according to any one of claims 1 to 7.

10. A computer-readable storage medium, characterized in that, It stores a computer program, which, when executed by a processor, implements the steps of a temperature mapping control method for a multi-field coupled underactuated quartz lamp electric heating system according to any one of claims 1 to 7.

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