73 results about "Fast tracking" patented technology

The invention relates to the technical field of voltage control, and discloses an ESC voltage regulator voltage control method and system based on fuzzy adaptive PID, and the method comprises the steps: collecting the output voltage of an ESC voltage regulator and a preset target voltage in real time, calculating a voltage error and an error change rate after filtering, and carrying out the calculation of the error change rate; dividing fast tracking, precise adjustment and anti-interference stability maintenance stages according to errors and change rates and generating control signals, calling corresponding fuzzy rule subsets to deduce proportional, integral and differential gain adjustment amounts, generating real-time gains in combination with initial PID parameters, calculating control amounts by using position type PID based on the real-time gains, converting the control amounts into signals to drive power switch tubes, and controlling the power switch tubes. And closed-loop adjustment is formed. According to the method, the problem that a traditional control method is poor in performance under multiple working conditions is solved, cooperative control over rapid tracking, precise adjustment and anti-interference stability maintenance of the output voltage of the ESC voltage regulator is achieved, it is ensured that the ESC voltage regulator can output stable voltage under the working conditions of starting, steady-state operation and load sudden change, and the requirement for high voltage control precision and dynamic response is met.

The invention provides a reactive compensation optimization method and system for a mining frequency conversion system, and the method comprises the steps: collecting the multi-dimensional data of the mining frequency conversion system, and carrying out the feature extraction and preprocessing, and obtaining the preprocessing data; the phase fast tracking module accurately obtains phasor parameters according to the preprocessed data, and the phasor parameters serve as input signals and are used for a phase locking ring to achieve phase and frequency locking of the mining frequency conversion system; constructing a multi-parameter fitness function by adopting a particle swarm algorithm, and dynamically calculating and searching an optimal control parameter combination; instantaneous reactive power and harmonic current are detected and analyzed in real time by adopting an instantaneous reactive power detection technology; the instantaneous reactive power and the harmonic current are input into a fuzzy PI controller, and dynamic error compensation is carried out in combination with the optimal control parameter combination; the static synchronous compensator controls output compensation current to complete reactive compensation and harmonic current treatment; compensation verification and feedback are carried out, and the electric energy consumption condition of the mining device is monitored and predicted in real time.

The invention discloses an electric linear servo system control method based on cascade LESO-DISMC. The method comprises the following steps: firstly, establishing a complete mechanism model of a permanent magnet synchronous motor servo loading system; then designing DOB interference observer real-time compensation by adopting a LuGre friction model and a gap dead zone model; a feedforward control quantity is constructed by utilizing a measurable displacement signal, and redundant torque is inhibited; designing a dynamic integral sliding mode controller to ensure global stability; a high-low bandwidth LESO is constructed, and both fast tracking and smooth filtering are considered; and finally, trajectory optimization is carried out, a smooth trajectory is generated by adopting polynomial interpolation for the step and triangular wave signals, and mechanical vibration is inhibited. According to the method, a LuGre friction model is adopted to compensate nonlinear friction, cascade linear LESO and sliding mode control are combined, a track is optimized through an S-shaped curve, and the problem of'differential explosion 'is solved; according to the method, instruction smoothing, core control and friction compensation are fused, and the anti-interference capability and the loading precision of the system are improved.

The invention discloses a rapid power calculation method suitable for an electric energy meter and an acquisition terminal, the electric energy meter and the acquisition terminal, and relates to the technical field of electric power measurement. According to the method, voltage and current signals are sampled, direct-current components are removed, and harmonic interference is suppressed through band-pass filtering; estimating the frequency of the power grid in real time by using zero-cross detection and linear interpolation; processing the filtered voltage and current signals by adopting a delay cancellation model based on a rotation matrix, and eliminating a negative frequency component to generate a corresponding orthogonal vector; and synchronously calculating active power and reactive power through algebraic operation according to the orthogonal vector. According to the method, establishment time delay introduced by a traditional low-pass filter is avoided, rapid tracking of a power value can be achieved when the load power is subjected to step change, electric energy metering deviation in the transient process is effectively reduced, and meanwhile calculation accuracy and robustness under the power grid frequency fluctuation working condition are improved through a frequency self-adaption mechanism.

The invention relates to the technical field of photovoltaic power generation system control, and provides an MPPT control method and system based on an adaptive fuzzy neural network, and the method comprises the steps: synchronously collecting voltage, current, illumination and temperature signals, and generating original sensing data; transmitting the generated original sensing data to a memory mapping area through a hardware channel; sensing data is obtained from the memory mapping area, calculation is executed, a power variation and an illumination variation are predicted, a fuzzy reasoning algorithm is operated based on the power variation and the illumination variation, and a power point decision scheme is obtained; a fuzzy rule is updated based on the predicted power variation and illumination variation, the updated fuzzy rule is fed back to the dual-core heterogeneous processor in real time, and fuzzy reasoning logic is optimized; and driving the four-phase interlaced power topological structure to work in an interlaced manner according to the power point decision scheme so as to realize maximum power point tracking. According to the invention, rapid tracking and high-precision stable control of the maximum power point of the photovoltaic array in a complex environment can be realized.

The invention discloses a model-free predictive current control method based on an improved observer, and belongs to the technical field of permanent magnet synchronous motor control. The control method comprises the following steps: firstly, by analyzing the frequency characteristic of ESO, selecting an extended state observer order for obtaining balance between the anti-interference capability and the noise suppression capability; secondly, designing a model-free predictive current loop controller, and calculating the observer gain through a bandwidth method; then, a judgment mechanism of a current loop controller is constructed, the mechanism judges whether the system is in a steady state or not at the moment according to the current deviation value in the current state, and therefore the observer order with the better control effect is selected. According to the model-free predictive current control method based on the improved observer, the anti-interference performance of the system and the noise suppression capability of the current are remarkably improved, it is guaranteed that the improved observer has rapid tracking response and excellent steady-state performance, and the robustness of the control system is enhanced.

The invention relates to an unmanned aerial vehicle real-time tracking planning method based on multi-trajectory optimization and evaluation, and the method comprises the steps: obtaining the position and speed of a target at a current moment, and generating a potential target point set and corresponding probability distribution; sampling the potential target point set to obtain candidate target points, and planning a collision-free candidate path for each candidate target point; performing dynamic feasibility processing to generate a time optimal candidate trajectory; and selecting the time optimal candidate trajectory with the highest score as the final execution trajectory at the current moment by using the comprehensive evaluation function. According to the method, a time-consuming trajectory planning process is preposed, so that the real-time performance of tracking is greatly improved; by exploring multiple possibilities of the future position of the target, the tracking continuity and robustness are ensured; the comprehensive evaluation function is used for comprehensive consideration, it is ensured that the unmanned aerial vehicle can avoid obstacles and keep a safe distance while fast tracking is conducted, and the success rate of a tracking task is increased.

The application belongs to the cross field of electric power system and power electronics technology, and particularly relates to a regional power grid power quality treatment method for multi-type subject access. By introducing advanced phase compensation, the phase lag of the detection link is calculated and fully compensated in real time, so that the extracted harmonic component is instantaneously synchronized with the actual harmonic of the power grid. In combination with an adaptive hybrid modulation technology, the dominant harmonic frequency band can be focused on compensation. A fully decoupled control based on feedforward is adopted, which eliminates the cross coupling between the d and q axis currents, so that the inner loop controller can realize fast tracking with almost no overshoot. Meanwhile, the adaptive adjustment mechanism of the PLL bandwidth ensures that the synchronization signal is fast and robust when the power grid changes.

The invention discloses a tornado field unmanned aerial vehicle tracking method and system based on multi-mode perception and dynamic path planning and an unmanned aerial vehicle, and the method comprises the steps: integrating meteorological radar data, a satellite cloud picture and multivariate data collection equipment sensing information, combining reinforcement learning and a multi-target optimization algorithm, and planning an optimal tracking path; the unmanned aerial vehicle cluster works cooperatively with a self-organizing network through hierarchical formation, and realizes real-time measurement and minute-level data return of a three-dimensional wind field in a tornado core area by adopting local storage and satellite direct transmission dual channels. According to the tornado field unmanned aerial vehicle tracking method based on multi-modal sensing and dynamic path planning, the problems of low resolution, response lag and the like of a traditional detection means can be solved, and rapid tracking and accurate measurement of a tornado three-dimensional wind field are achieved.

The application discloses a kind of secondary steam temperature process signal differential control method and system, utilize first subtracter to carry out subtraction operation to secondary steam temperature process signal and the second integrator output second integral signal, obtain feedback output signal;Utilize first integrator to integrate feedback output signal, obtain first integral signal;Utilize second integrator to integrate first integral signal, obtain second integral signal;Utilize first addition module to process first integral signal, obtain first superimposed signal;Second superimposed signal is obtained by using second addition module to process second integral signal;Utilize second subtracter to subtract first superimposed signal and second superimposed signal, obtain first subtraction signal, utilize fixed proportion controller to obtain fixed proportion control signal;Utilize third adder to superimpose secondary steam temperature process signal and fixed proportion control signal, obtain fixed proportion fastest tracking differential signal.The embodiment of the application provides a kind of secondary steam temperature process signal differential control method and system, improve the output tracking input differential tracking efficiency of secondary steam temperature process signal.

The invention relates to the technical field of permanent magnet synchronous motors, in particular to a multi-motor position cooperative control method for a robot, and the method comprises the steps: collecting the state information of multiple motors (taking double motors as an example), and building a discrete prediction model; calculating an unconstrained reference voltage based on model prediction position control; estimating load torque on line by using a Luenberger observer and introducing voltage calculation; performing one-step forward prediction based on the prediction model, and performing delay compensation and linear boundary amplitude limiting processing on the reference voltage; a target function containing a position deviation item is constructed, a deviation compensation item is obtained by solving partial derivative of the target function, and the compensation item is directly coupled to q-axis reference voltage; and finally, the processed voltage is subjected to SVPWM modulation to drive the double motors to operate, and high-precision synchronization and rapid tracking control of the double motors after reference voltage coupling deviation compensation are achieved.

The invention discloses a climate public opinion data analysis and system based on multi-agent collaboration. The technical problems that in information acquisition and analysis of public opinions related to global climate changes, the data processing capacity is insufficient, cross-language understanding is limited, the real-time performance is poor, and the prediction capacity is weak are solved. The core technology module comprises a cue word embedded neural network crawler information collection module which is used for realizing intelligent collection and analysis of public opinion data in a network space; the multi-agent collaborative instant text analysis and content generation module is used for rapidly tracking global climate policy evolution and public opinion information; and the energy climate public opinion AI report generation module based on construction information splicing is used for dynamically fusing the generated content to provide depth and breadth coexistence information support for climate negotiation.

The invention discloses a thermal power generating unit primary frequency modulation performance improvement method based on a fast tracking differentiator, and aims to improve the primary frequency modulation response speed and control precision of a thermal power generating unit under power grid frequency disturbance. The method comprises the following steps: acquiring a frequency deviation signal, and decomposing the frequency deviation signal into a low-frequency filtering signal and a high-frequency differential signal by using a rapid tracking differentiator; calculating a system working condition index based on a decomposition result, and dynamically adjusting a fast factor and a filtering factor; a short-term prediction feedforward compensation signal is constructed, and historical information is introduced through a gating mechanism; and superposing the feed-forward compensation signal and the PID feedback control signal, and outputting a frequency modulation control instruction. The method can be directly integrated on the basis of an original frequency modulation system structure, has the advantages of being high in response speed, high in adaptability, good in frequency difference fluctuation suppression effect and the like, and is suitable for a primary frequency modulation control scene of a thermal power generating unit under a new energy high-permeability background.

This invention relates to the field of computer vision technology, specifically to a method for fast tracking and fusion of image line segments based on multi-point optical flow. The method includes: acquiring an image sequence arranged in chronological order; verifying whether the image sequence is continuously captured; preprocessing all images in the continuously captured image sequence and calculating gradients; processing the images in the preprocessed image sequence one by one in sequence order; for the currently processed image, extracting multiple line segments from the currently processed image; fusing and filtering the multiple line segments to obtain a set of line segments to be tracked in the currently processed image; for each line segment to be tracked in the set of line segments to be tracked, using a multi-point optical flow method for tracking, obtaining a set of tracked line segments in the currently processed image as the result of fast line segment tracking and fusion. This invention can improve the accuracy and efficiency of image line segment tracking.

The application discloses a security and warning robot instruction execution system for quick tracking of a holder, which acquires continuous image frames, a current angle of the holder and a circumferential obstacle distance, extracts center coordinates, scale variation, a motion direction and confidence of a warning target, constructs a warning intention propagation graph containing a target, a warning sector, a holder margin, a chassis pass, an obstacle suppression and a loss risk node to obtain a tracking intention value, generates a boundary pressure value according to a distance from the target to a boundary of the image, an interframe displacement towards the boundary, a remaining rotation angle of the holder and a circumferential passable distance of the chassis, determines a current main tracking target, and generates a pre-rotation angle of the holder, a segmented rotation speed curve and a chassis compensation rotation angle, and generates a target residual sector and recaptures the target when the confidence is reduced, so that the tracking stability in a quick moving and short-time shielding scene is improved.

The invention relates to the technical field of well test interpretation, and discloses a bus current reconstruction method of an SPWM (sinusoidal pulse width modulation) modulated electric drive system, which is characterized in that a bus current value is reconstructed by sampling phase current and combining an algorithm, accurate estimation of a bus current instantaneous value can be realized by using detection values of two phase current sensors, and a bus current dynamic value can be accurately captured. The technology not only overcomes the limitation that a traditional estimation algorithm only pays attention to an average value and ignores dynamic change, but also can quickly track the dynamic fluctuation of the bus current under a complex working condition, is not influenced by the change of internal parameters of a driver, and effectively improves the dynamic performance and accuracy of bus current estimation. The simulation result verifies the reliability and accuracy of the reconstruction algorithm, expands the application boundary of the bus current control measurement technology of the electric drive system, and has important engineering significance for guaranteeing the stable operation of the electric drive system.

The invention discloses a built-in permanent magnet synchronous motor MTPA control method based on an improved EKF algorithm, and belongs to the field of permanent magnet synchronous motor high-performance control. According to the method, a dynamic forgetting factor multi-information extended Kalman filter algorithm is provided for solving the problems of MTPA trajectory offset and operation efficiency reduction caused by IPMSM key parameter time variation, and the algorithm adaptively adjusts historical data weight through a dynamic forgetting factor mechanism to realize rapid tracking when parameters suddenly change; and a multi-information theory is utilized to fuse historical information, so that noise is effectively suppressed, and the steady-state estimation precision is improved. The algorithm serves as an online identification module to be embedded into an MTPA control system, accurate quadrature-axis inductance and permanent magnet flux linkage can be obtained in real time, the current distribution angle is dynamically corrected, and therefore it is ensured that the motor stably operates along the optimal efficiency track under the full working condition. The method does not need extra signal injection, and has high precision, strong robustness and good engineering practicability.

The invention relates to a low-voltage fast-response digital linear voltage regulator with a self-adaptive adjustment two-dimensional shift register, which comprises a non-overlapping clock ring comparator RACMP, a two-dimensional shift register 2DCSR, a fast tracking mode detector, a successive approximation register SAR, a coarse adjustment PMOS array and a fine adjustment PMOS array, wherein the coarse adjustment PMOS array and the fine adjustment PMOS array are formed by adjusting tubes; the SAR comprises a binary search module; according to the invention, the two-dimensional shift register 2DCSR and the binary search module cooperatively adjust the output voltage VOUT, so that coarse adjustment and fine adjustment double-loop control is realized; a two-dimensional shift register 2DCSR is utilized to realize an adaptive adjustment function, and combinatorial logic and RAM storage are utilized to realize a coarse adjustment step length change function and fine adjustment binary search; the circuit can quickly adjust the output voltage VOUT under low voltage and realize high-precision voltage stabilization.

The invention provides a performance impact factor analysis method and device based on a distributed system, and relates to the technical field of data processing.The method comprises the steps that first monitoring data and second monitoring data of a data stream are collected in real time through a kernel mode probe and a user mode probe deployed on target equipment; on a transmission path of a data stream, when the data stream passes through one transmission node, a tracking identifier uniquely corresponding to the transmission node is injected, and the tracking identifier of each transmission node and the transmission path form a mapping relationship; constructing a causal network model based on the first monitoring data, the second monitoring data, and the mapping relation between the tracking identifier and the transmission path; and determining a target influence factor according to the causal network model and a preset micro-service topological graph. According to the method and the device, the tracking identifier is injected into the data stream, so that the aim of tracking each influence factor in a cross-protocol manner can be fulfilled, and the influence factors which influence the performance of the distributed system can be quickly tracked in a scene of supporting the multi-protocol distributed system.

The application discloses a quadrotor unmanned aerial vehicle attitude control method based on a self-disturbance rejection fast terminal sliding mode, constructs a cascade controller to control the attitude of the quadrotor unmanned aerial vehicle, the cascade controller is a two-stage cascade controller of inner and outer loops, the outer loop of the cascade controller performs self-disturbance rejection control, and outputs a desired attitude angle to the inner loop; the inner loop performs fast terminal sliding mode control, and outputs an attitude angle change amount to the aircraft; and the aircraft changes the flight attitude according to the attitude angle change amount. The quadrotor unmanned aerial vehicle attitude control method based on the self-disturbance rejection fast terminal sliding mode has strong anti-interference capability, faster tracking speed and robustness.

This invention discloses a fastest tracking differential device, method, and storage medium. It involves subtracting the input signal from a second integral signal using a subtractor to obtain an output feedback signal, integrating the feedback signal using a first integrator to obtain a first integral signal, integrating the first integral signal using a second integrator to obtain a second integral signal, delaying the first integral signal using a delay unit, and then adding the delayed first integral output signal and the feedback signal using an adder. Finally, it outputs the fastest tracking differential signal corresponding to the input signal. This invention achieves fastest tracking from the differential output to the input signal by performing addition based on the subtraction result after receiving the feedback and the first integral result after the delay. Compared to a tracking differential device based on a first-order inertial filter, the fastest tracking differential device significantly improves the differential tracking performance.

The invention discloses a fuzzy PID (Proportion Integration Differentiation) control-based motor power optimization method for a hydrogen circulating pump of a hydrogen fuel cell. According to the method, a brushless direct current motor mathematical model is established, a fuzzy PID controller with a hierarchical control strategy is designed, control parameters are automatically adjusted according to the size of a rotating speed error, strong control is adopted in a large-error area to ensure rapid tracking, and control gain is reduced in a small-error area to optimize power. Compared with traditional PID control, on the premise that the rotating speed control precision is guaranteed, the output power of the motor can be remarkably reduced by 10%-30%, the overall energy efficiency of the hydrogen fuel cell system is improved, and good engineering application value is achieved.

A composite control strategy of a Vienna power factor correction circuit comprises an active-disturbance-rejection voltage control outer loop and an optimized switch sequence model prediction current control inner loop, the active-disturbance-rejection voltage control outer loop designs LTD to arrange a transition process for an output voltage reference value square value to realize rapid tracking, and designs LESO to observe output and total disturbance in real time. An LESF is designed to realize zero static error adjustment through a linear error feedback rate, a switching sequence model is optimized to predict a current control inner ring, redundant vector preprocessing is adopted, a candidate redundant switching sequence is reduced by half according to a redundant vector selection rule, the calculated amount is reduced, a modulation signal is sent to an SVPWM modulation unit, a PWM signal is generated, a switching tube of a main power circuit is driven, and the switching tube of the main power circuit is controlled. And closed-loop control is realized.

The invention discloses a method and a device for tracing the generated content of a visual language model, which combine the text generation capability of the visual language model and an adversarial trigger learning mechanism, and realize the reliable tracing of the generated content by embedding an invisible text mark in an image. According to the method, two antagonistic optimization objectives of target label loss and non-target label loss are introduced, the semantic consistency of label content and original content is ensured respectively, and the distinguishability of the label content and the original content in a text space is enhanced, so that accurate traceability identification is realized; in addition, the invention also designs a lightweight traceability module which does not need to be trained, so that the embedded mark can be effectively identified, and the content source can be quickly tracked; according to the traceability technology provided by the scheme, VLM output in different use scenes can be effectively marked on the premise that the generation quality is not influenced, and experimental results show that excellent traceability and stable semantic maintenance performance are shown on a plurality of data sets and models.

The application relates to a kind of event-triggered hypersonic vehicle finite time control method and system, by constructing the attitude system model of hypersonic vehicle facing control, event-triggered strategy is designed, and internal dynamic variable matching convergence characteristic and sliding mode variable is established in event-triggered strategy;According to angle tracking error and approach law, a fast finite time controller is constructed by using fast finite time control method;According to event-triggered strategy and fast finite time controller, event-triggered finite time controller is constructed;Real-time error information of aircraft is obtained, and the error information is input into event-triggered finite time controller for calculation to obtain attitude control input;The attitude angle of aircraft is adjusted and controlled through attitude control input, the problem of designing strong robust and low resource consumption control system for hypersonic morphing aircraft is solved, and the characteristics of faster tracking speed, higher tracking accuracy and lower resource consumption are possessed.

The invention relates to the technical field of energy storage battery in-situ impedance testing, and provides a battery in-situ impedance testing method and system based on self-adaptive phase compensation in order to solve the problems that rapid tracking of broadband excitation signals is difficult to achieve and electrochemical parameter identification and measurement are not accurate at present. The battery in-situ impedance test method based on adaptive phase compensation comprises the following steps: acquiring an initial reference current and an actual sampling current of a battery charging and test system, iteratively calculating a real-time phase lag angle, and generating a corrected reference current instruction according to the real-time phase lag angle; current response is predicted in two steps based on a discrete mathematical model of the full-bridge converter in a continuous conduction mode; and optimizing and searching a switching state corresponding to the voltage vector which enables the composite cost function to be minimum so as to drive a switching tube of the full-bridge converter. According to the method, fast dynamic response and zero-phase error tracking can be considered, and the high-precision requirement of the in-situ EIS test of the energy storage battery is met.

This invention belongs to the field of autonomous estimation and fast tracking control of unknown reference signals by multiple agents. Specifically, it relates to a fast adaptive distributed tracking method for reference signals based on adaptive estimation and robust controllers. The method includes: constructing a module for building a model of unknown parameters of the reference signal, reparameterizing the reference signal containing unknown parameters, and converting it into an observable system through filtering and transformation techniques; constructing a fast distributed estimation module for the unknown parameters of the reference signal, designing an adaptive distributed observer for the unknown parameters based on adaptive methods and finite-time theory; constructing a fast robust tracking control module for the reference signal, designing a fast robust tracking controller based on sliding mode algorithm and finite-time theory; and constructing a closed-loop system stability analysis module to prove the finite-time convergence of the multi-agent distributed tracking system. This invention significantly improves the practicality and reliability of multi-agent tracking systems in this field.

The utility model relates to a kind of tracking type line instrument, including pedestal, quick tracking mechanism and fine adjustment mechanism, the top of the pedestal is equipped with rotating chassis and rotating support sequentially arranged along vertical direction, instrument body is equipped on the rotating chassis, the quick tracking mechanism includes the first motor being equipped on rotating support, the output of the first motor is equipped with first gear, the second gear meshing with first gear is equipped on the pedestal, the fine adjustment mechanism includes the cylinder being equipped on rotating support, the second motor is equipped in the cylinder, the output of the second motor is connected with screw rod, nut is threadedly cooperated on the screw rod, the nut is slidingly fitted in the cylinder, the end of the nut away from second motor is vertically equipped with guide rod, the rotating chassis is equipped with sliding slot, the end of the guide rod away from nut is slidingly fitted in sliding slot;The tracking type line instrument of the new type of the utility model can quickly and accurately track target position.

A sample rate converter circuit for receiving a first signal at a first sample frequency and outputting a second signal having a second sample frequency. The sample rate converter circuit includes a rate estimator circuit structured to receive a first clock signal having the first sample frequency and a second clock signal having the second sample frequency and structured to generate an estimate of a ratio of the first sample frequency to the second sample frequency. The rate estimator circuit includes an instantaneous rate estimator circuit structured to process the first clock signal and the second clock signal to provide a noisy ratio of the first sample frequency to the second sample frequency and a low pass filter structured to filter the noisy ratio of the first sample frequency to the second sample frequency based on filter coefficients adjustable by a time constant controller of the rate estimator circuit.

The application provides a high-precision fast tracing method of an optical system, comprising the following steps: S1, discretely sampling optical and mechanical surfaces respectively by an optical surface height equation and a mechanical element surface NURBS characteristic function to generate an initialized triangular facet grid; S2, spatially dividing the triangular facet grid, constructing a triangular facet enclosing body based on a surface area heuristic spatial tree structure, eliminating non-intersecting facets, and obtaining triangular facets with intersection points; S3, refining the triangular facets with intersection points, obtaining an iterative initial value for numerical solution by calculating the distance d between the intersection points and the corresponding points of the height equation; and S4, constructing a single-variable implicit function characteristic function of the optical surface height equation according to the iterative initial value, and obtaining an accurate solution of the geometric intersection of the light rays by combining a Newton or quasi-Newton iterative method for high-order nonlinear equations. The optical surface height equation is constructed into a single-variable implicit function characteristic function, and fast and high-precision tracing is achieved.