A disturbance-free sliding mode control method for a multi-mode boost conversion circuit

Abstract

This invention discloses a disturbance-free sliding mode control method for a multimodal Boost converter circuit, belonging to the field of automation technology. Based on a discrete implicit stochastic semi-Markov transition system model, a disturbance-free transfer sliding mode control strategy based on an observer is designed. Since real-world modal information is difficult to obtain in actual environments, an implicit semi-Markov transition system is used to describe the system, which has lower conservatism than a semi-Markov transition system with fully known system modes. To better match the system modes, a mode-dependent sliding surface is selected. Expressions for the disturbance-free transfer performance during operation and at transition moments are also provided. By integrating the sliding mode controller with the disturbance-free transfer performance, disturbances and impacts in the control input are effectively suppressed. This invention can accurately describe the dynamic characteristics of a multimodal Boost converter circuit under conditions of mismatched system and observed modes, effectively suppressing the effects of disturbances and jolts in the control input, and improving the fast response speed and dynamic performance of the Boost converter circuit.

Description

Technical Field

[0001] This invention relates to the field of automation technology, and in particular to a disturbance-free sliding mode control method for a multimodal Boost converter circuit. Background Technology

[0002] In the rapid development of science and technology, the demand for faster computing speeds and greater functional diversity in portable electronic products continues to rise, driving the continuous expansion of the application scope of Boost converter circuit systems. Currently, this circuit is widely used in many fields of industrial production, especially in critical scenarios such as variable-speed DC motor drives and computer power supplies, where it occupies an irreplaceable position. As a type of power electronic topology driven by switching devices such as transistors and diodes, the core function of the Boost converter circuit is to adjust the power output energy to adapt to the real-time demands of the load, providing core technical support for ensuring the service life of electronic devices and optimizing system energy consumption. However, it is important to note that the expansion of portable device functions and the improvement of performance indicators bring a series of technical bottlenecks that urgently need to be overcome. These challenges pose significant difficulties for the dynamic modeling and control strategy design of circuit systems. Therefore, this paper uses a multimodal Boost converter circuit as a specific research vehicle, and through a combination of theoretical derivation and experimental verification, systematically verifies the design method of a disturbanceless sliding mode controller, demonstrating the effectiveness and practicality of this control strategy.

[0003] Markov transition systems are frequently applied in various complex scenarios, such as those involving external disturbances and changes in system structure and parameters. While there is a wealth of research on Markov transition systems, a limitation is that the residence time distribution can only follow a memoryless exponential or geometric distribution. To address this issue, semi-Markov transition systems are introduced. Their residence time distributions encompass multiple types and also exhibit memory dependence. However, the system modes of semi-Markov transition systems are all completely known, which is difficult to achieve in practical applications. Therefore, implicit semi-Markov transition systems are introduced, which correlate system modes with observation modes through emission probability parameters, making the connection more intuitive.

[0004] Despite significant progress in random jump systems, several issues remain to be addressed. Specifically, the problems of abrupt changes and disturbances in control inputs at jump moments need to be studied and resolved. For implicit semi-Markov jump systems, abrupt changes occur both at the jump moment and during operation, thus making the designed undisturbed transfer performance expression more universal. Unlike traditional controllers, jump controllers inevitably suffer from shocks, which can lead to negative transfer behavior or even system instability. Current research on undisturbed transfer performance is substantial, mainly summarized into two control strategies: one is to use an ideal or reference controller, and the other is to apply controller constraints at the jump moment. Existing research on undisturbed transfer performance lacks studies on undisturbed transfer control for implicit semi-Markov jump systems, which is one of the motivations for our research.

[0005] Sliding mode control has attracted increasing attention due to its robustness to external disturbances. The essence of sliding mode control lies in using high-frequency switching control to move the system state along a sliding surface. This sliding mode characteristic directly correlates dynamic behavior with the equations governing the sliding surface. Within the basic sliding mode joint system framework, this control method has achieved significant results in several fields, including observer-based sliding mode control, adaptive event-triggered sliding mode control, and adaptive sliding mode control.

[0006] In summary, current research on disturbance-free transmission control for semi-Markov transition systems mainly focuses on synchronous mechanisms, while asynchronous mechanisms remain largely unexplored. Ignoring the asynchronous behavior between system modes and controller modes may lead to conservative control results. Furthermore, observer-based sliding mode control assumes a perfect match between the actual input signal and the controller output signal under equivalent conditions during system transitions. Due to differences in controller gain during transitions, significant jumps in the control signal before and after the transition transient can easily lead to overshoot and abnormal transient behavior. Given these shortcomings, developing observer-based sliding mode control laws that balance disturbance-free transmission performance within the framework of discrete implicit sliding mode systems has become a crucial research topic and the core motivation for this study. Summary of the Invention

[0007] The technical problem solved by this invention is: to design a disturbance-free sliding mode control method based on a multi-mode Boost conversion circuit of an implicit semi-Markov transition system, which has better robustness and faster response speed than traditional control methods, and can better suppress the bumps and shocks that occur in the control input.

[0008] To achieve the above objectives, the present invention adopts the following technical solution:

[0009] A disturbance-free sliding mode control method for a multimodal Boost converter circuit includes the following steps:

[0010] S1: Consider the following hidden semi-Markov transition system:

[0011] ;

[0012] ;

[0013] in (satisfy ) represents the state. Indicates control input, Indicates the measurement output. , as well as For the system matrix, Indicates time The system modal index below, , Indicates the value taken from A semi-Markov chain; S2: Hypothetical mode It cannot be obtained directly and must be determined through the following launch probabilities: For all ,all ,have And satisfy ,in Indicates in The time function of the emission probability, This is referred to as a hidden semi-Markov chain; S3: An observer-based controller is designed, whose operating mode depends on the observed mode:

[0014] ;

[0015] ;

[0016] in Indicates the observer state. This represents the observer output, while S4: Select the mode-dependent sliding surface.

[0017] ;

[0018] in Selected as To ensure The non-singularity of, and For controller gain; S5: Then according to Thus, an equivalent sliding mode controller is obtained.

[0019] ;

[0020] S6: Define the error signal And set Furthermore, we obtain: ;

[0021] in:

[0022] ;

[0023] S7: Perform a stability analysis on the system from step S6, combining it with the uninterrupted transmission performance. , have , , have , The above system is mean-square stable; S8: Based on the parameter solution in step S7, design a mode-dependent discrete sliding mode control law:

[0024] ;

[0025] S9: Based on the discrete-time sliding mode control law designed in step S8, perform reachability analysis of the sliding surface:

[0026] ;

[0027] Analysis shows that sliding mode dynamics can be driven to a pre-specified sliding domain and maintained thereon. Preferably, in step S7, if a matrix exists... , , , , , , This makes for , , , ,satisfy:

[0028] , , , , , , , ;

[0029] And for , , , , , , so that the following conditions are met:

[0030] , ,

[0031] , ,

[0032] , ,

[0033] , ;

[0034] And for , , , , , ,satisfy: ; and for , , , ,satisfy: ; and for , , ,satisfy: ; and for , , , ,satisfy: , , ;in: ;

[0035] ;

[0036] ;

[0037] ;

[0038] ;

[0039] ;

[0040] ;

[0041] ;

[0042] ;

[0043] ;

[0044] ;

[0045] ；

[0046] ；

[0047] ；

[0048] ；

[0049] ；

[0050] ；

[0051] ；

[0052] ；

[0053] ；

[0054] ； ；

[0055] ；

[0056] ；

[0057] ；

[0058] ； ；

[0059] ；

[0060] ；

[0061] ； ； ；

[0062] ；

[0063] ；

[0064] ；

[0065] ；

[0066] ；

[0067] ；

[0068] ；

[0069] ；

[0070] ；

[0071] ；

[0072] ；

[0073] ；

[0074] ；

[0075] ；

[0076] ；

[0077] ；

[0078] ；

[0079] ；

[0080] ；

[0081] ；

[0082] ；

[0083] ；

[0084] ； ；

[0085] ；

[0086] ；

[0087] ； ；

[0088] ；

[0089] ；

[0090] ；

[0091] ；

[0092] 。

[0093] In summary, due to the adoption of the above technical solution, the beneficial effects of the present invention are:

[0094] 1. In this application, firstly, unlike previous studies on uninterrupted transmission control based on synchronous system modes, the present invention proposes an uninterrupted transmission control scheme that connects system modes and observer modes through transmission probabilities in asynchronous modes. Secondly, compared to the observer method in synchronous system jump sliding mode control, the present invention innovatively combines uninterrupted transmission performance with observer sliding mode control, specifically achieving uninterrupted transmission performance during system jumps and operation. Finally, sufficient conditions for the mean square stability of synthetic sliding mode dynamics with uninterrupted transmission performance are given, while reducing the probability of disturbances in the control input. Attached Figure Description

[0095] Figure 1 This is a schematic flowchart of the method of the present invention;

[0096] Figure 2 This is a Boost converter circuit diagram of the method of the present invention;

[0097] Figure 3 Detailed diagram of the simulation results of the sliding mode switching surface trajectory;

[0098] Figure 4 Detailed diagram of the simulation results for the control input;

[0099] Figure 5 Detailed diagram of the state trajectory simulation results of the multimodal Boost converter circuit system. Detailed Implementation

[0100] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0101] Please see Figure 1-5 The present invention provides a technical solution:

[0102] A disturbance-free sliding mode control method for a multimodal Boost converter circuit includes the following steps:

[0103] S1: The implicit semi-Markov switching system is modeled using a Boost converter circuit, such as... Figure 1 As shown, when the switch When disconnected, the circuit model is as follows:

[0104] ;

[0105] And when the switch When closed, the circuit is described by the following model:

[0106] ;

[0107] in and Let represent the inductor current and capacitor voltage, respectively. Combining the above two cases, the final state-space expression is derived as follows:

[0108] ;

[0109] in , It takes the value of The reachable modes. Let... , , , , , , Set the sampling time to Then we obtain the discrete model:

[0110] ;

[0111] ;

[0112] Consider the hidden semi-Markov transition system as described above.

[0113] in (satisfy ) represents the state. Indicates control input, Indicates the measurement output. , as well as For the system matrix, Indicates time The system modal index below, , Indicates the value taken from A semi-Markov chain;

[0114] S2: Hypothetical Mode It cannot be obtained directly and must be determined through the following launch probabilities:

[0115] ;

[0116] For all ,all ,have And satisfy ,in Indicates in The time function of the emission probability, It is called a hidden semi-Markov chain;

[0117] Half-Markov nuclei can pass through The probability density function of a semi-Markov chain is calculated to be given by the following equation:

[0118] ;

[0119] The transition probability matrix and emission probability matrix are presented as follows:

[0120] ;

[0121] The upper bound of the stay time is selected as .

[0122] S3: An observer-based controller is designed whose operating mode depends on the observed mode.

[0123] ;

[0124] ;

[0125] in Indicates the observer state. This represents the observer output, while For observer gain;

[0126] S4: Select the mode-dependent sliding surface:

[0127] ;

[0128] in Selected as To ensure The non-singularity of, and For controller gain;

[0129] S5: Then according to Thus, an equivalent sliding mode controller is obtained.

[0130] ;

[0131] S6: Define the error signal And set This leads to a complete system model:

[0132] ;

[0133] in:

[0134] ;

[0135] S7: Perform a stability analysis on the system from step S6, combining it with the uninterrupted transmission performance. , have , , have , For a given scalar , relaxation parameters , , , , , , , , , , , , , Undisruptive performance parameters , , , , , The above system is mean-square stable; if a matrix exists... , , , , , , This makes for , , , ,satisfy:

[0136] ,

[0137] , ,

[0138] , ,

[0139] , ,

[0140] ;

[0141] And for , , , , , , so that the following conditions are met:

[0142] ,

[0143] , ,

[0144] , ,

[0145] , ,

[0146] ;

[0147] And for , , , , , ,satisfy:

[0148] ;

[0149] And for , , , ,satisfy:

[0150] ;

[0151] And for , , ,satisfy:

[0152] ;

[0153] And for , , , ,satisfy:

[0154] , , ;

[0155] in:

[0156] ;

[0157] ;

[0158] ;

[0159] ；

[0160] ；

[0161] ；

[0162] ；

[0163] ；

[0164] ；

[0165] ；

[0166] ；

[0167] ；

[0168] ；

[0169] ；

[0170] ；

[0171] ；

[0172] ；

[0173] ；

[0174] ；

[0175] ；

[0176] ；

[0177] ；

[0178] ；

[0179] ；

[0180] ；

[0181] ， ；

[0182] ；

[0183] ；

[0184] ；

[0185] ， ；

[0186] ；

[0187] ；

[0188] ；

[0189] ；

[0190] ；

[0191] ；

[0192] ；

[0193] ；

[0194] ；

[0195] ；

[0196] ；

[0197] ；

[0198] ；

[0199] ；

[0200] ；

[0201] ；

[0202] ；

[0203] ；

[0204] ；

[0205] ；

[0206] ；

[0207] ；

[0208] ;

[0209] ;

[0210] ;

[0211] ;

[0212] ;

[0213] ;

[0214] ;

[0215] ;

[0216] ;

[0217] ;

[0218] .

[0219] S8: Based on the parameter solution in step S7, design the mode-dependent discrete sliding mode control law:

[0220] ;

[0221] S9: Based on the discrete-time sliding mode control law designed in step S8, perform reachability analysis of the sliding surface:

[0222] ;

[0223] Analysis shows that sliding mode dynamics can be driven to a pre-specified sliding domain and maintain motion thereon. Figures 3 to 5 In the middle, the initial state is set as and , Figure 3 The sliding mode switching surface is described, and finite-time reachability is achieved. Figure 4 The control input is described, and the effect of the disturbance-free performance on turbulence suppression is visually demonstrated. Finally, it converges to the origin. Figure 5 The state trajectory of a multimodal Boost converter circuit system reaching its equilibrium point under perturbationless sliding mode control is described. Based on... Figures 3-5 Therefore, the method of the present invention can effectively suppress the bumps and shocks that occur in the control input, and improve the dynamic performance such as the response speed and robustness of the multi-mode Boost conversion circuit system.

[0224] The above description of the embodiments enables those skilled in the art to make or use the invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the invention. Therefore, the invention is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A disturbance-free sliding mode control method for a multimodal Boost converter circuit, characterized in that, Includes the following steps: S1: Consider the following hidden semi-Markov transition system: ； ； in (satisfy ) represents the state. Indicates control input, Indicates the measurement output. , as well as For the system matrix, Indicates time The system modal index below, , Indicates the value taken from A semi-Markov chain; S2: Hypothetical mode Cannot be obtained directly, must be determined from the following emission probabilities: ； For all ,all ,have And satisfy ,in Indicates in The time function of the emission probability, It is called a hidden semi-Markov chain; S3: An observer-based controller is designed whose operating mode depends on the observed mode. ； ； in Indicates the observer state. This represents the observer output, while For observer gain; S4: Select the mode-dependent sliding surface: ； in Selected as To ensure The non-singularity of, and For controller gain; S5: Then according to Thus, an equivalent sliding mode controller is obtained. ； S6: Define the error signal And set Furthermore, we obtain: ； in: ； S7: Perform a stability analysis on the system from step S6, combining it with the uninterrupted transmission performance. , have , , have , The above system is mean-square stable; S8: Based on the parameter solution in step S7, design the mode-dependent discrete sliding mode control law: ； S9: Based on the discrete-time sliding mode control law designed in step S8, perform reachability analysis of the sliding surface: ； Analysis shows that sliding mode dynamics can be driven to a pre-specified sliding domain and maintain motion thereon.

2. The perturbation-free sliding mode control method for a multimodal Boost converter circuit according to claim 1, characterized in that, In step S7, if a matrix exists , , , , , , This makes for , , , ,satisfy: ； ； ； ； ； ； ； ； And for , , , , , such that: ； ； ； ； ； ； ； ； And for , , , , , ,satisfy: ； And for , , , ,satisfy: ； And for , , ,satisfy: ； And for , , , ,satisfy: ； ； ； in: ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； ； 。

Images