Research On H_∞ Optimal Control Strategy Of Linear Synchronous Motor Parameter Uncertainty System

The controllable excitation linear synchronous motor system has model parameter perturbations,load disturbances,and disturbances caused by end effects and cogging effects,which affect the stable operation of the platform.This topic aims at the problem of the system’s own parameter perturbation due to the difference in suspension height and the resistance change caused by the armature loop current during the operation of the linear synchronous motor,and proposes a linear synchronous motor parameter uncertainty system H_∞optimal control method.The thesis was completed under the funding of the National Natural Science Foundation of China project"Research on the Operation Mechanism and Control Strategy of Magnetically Levitated Feeding Platform for Controllable Excitation Linear Synchronous Motor(Project Approval Number:51575363)".The main research contents of the thesis are as follows:(1)Study the structure and operating principle of the controllable excitation linear synchronous motor.Derive the flux equation and voltage equation of the system in the d-q coordinate system through Clark and Park transformation;derive the linear motor’s state equation from the motion equation,voltage equation and thrust equation;analyze the interference source of the linear motor in the system operation,Considering the problem of the change of resistance parameter when the motor is running,the mathematical model of the parameter uncertainty system of the linear synchronous motor is deduced.(2)Design the H_∞controller for the parameter uncertainty system of the controllable excitation linear synchronous motor.There is a problem of parameter perturbation when the motor is running,and an H_∞controller is designed for precise control.Based on the establishment of the mathematical model of the linear synchronous motor of the parameter uncertainty system,the control system’s parameter uncertainty and interference suppression problems are attributed to the standard H_∞state feedback design,and the parameters are obtained by solving the positive definite solution of Riccati’s inequality The H_∞robust controller for the feed subsystem of the uncertain control system.Use Matlab/simulink software for simulation research,consider the problem of parameter perturbation in the system,write the program of the controller,and bring it into the simulation model,add different disturbances at different times during the simulation process,and control the simulation results with PI The results are compared to verify their effectiveness.(3)The particle swarm optimization-genetic algorithm(PSO-GA)optimization design of the control system controller of the controllable excitation linear synchronous motor.For the design of the controller,there is a problem that the parameters of the weighting matrix are difficult to choose.First,the PSO algorithm is used to optimize it,but considering that the use of a single PSO algorithm will have the defect that the searched solution is the local optimal solution,so Establish PSO-GA algorithm model.The particle swarm algorithm is used to initialize the value range,and then the GA algorithm is used to expand the value range,and then the simulation evaluation,and then the group transformation,the optimal solution of the weighted parameter matrix of the H_∞controller is finally obtained,and then the value of the controller K is obtained.Use Matlab/simulink software to carry out simulation research,compile the program of PSO-GA algorithm,establish model with performance index,and carry out simulation research on H_∞optimization control system of linear synchronous motor.