PSO Based Fractional Order Controller Design And Its Application In PMSM

Fractional calculus theory has been gradually introduced into the field of control,and has been used to design the fractional-order PIλDμ controller and fractional-order sliding mode controller.In Company with the traditional controllers,they have better control performance and control quality,thus can be widely applied to various fields and complex models.This thesis mainly studies the design and application of fractional-order controller based on particle swarm optimization algorithm.The main content of this thesis is divided into the following parts:In the first part,the basic concepts of fractional calculus theory and particle swarm optimization(PSO)and its improvement are introduced.The basic principle of particle swarm optimization algorithm,the inertia weight and learning factor of particle swarm optimization are improved.The improved PSO algorithm improves the search ability of its own particles,and avoids the particle swarm optimization algorithm falling into the local maximum during the optimization process effectively.In the second part,the permanent magnet synchronous motor is modeled,the mathematical model of permanent magnet synchronous motor under synchronous coordinates and stationary coordinates is analyzed.The double closed loop speed control model of permanent magnet synchronous motor is built in Simulink,including current loop control module,speed loop control module,coordinate conversion module,voltage vector transformation module,and motor body module.This model lays the foundation for the design of a fractional-order controller for permanent magnet synchronous motors.In the third part,the fractional order PIλDμ controller and its application in permanent magnet synchronous motor are introduced.The fractional-order PID controller has two more adjustable variables than the integer-order PID controller,so that the fractional-order PID controller has a wider control range.However,the traditional tuning method of PIλDμ controller is complicated and cumbersome.In order to improve the convenience and effectiveness of parameter tuning,an improved particle swarm optimization algorithm is used to optimize the parameters of fractional-order PIλDμ controller.Different types of control objects are selected to verify that the parameters obtained using the improved particle swarm optimization algorithm have superior control quality.The permanent magnet synchronous motor as the control object,the step response experiment and anti-interference experiment are carried out to verify that the fractional-order PID controller has better control effect than the integer-order PID controller.In the fourth part,the fractional-order sliding mode controller and its application in permanent magnet synchronous motor are introduced.When the parameters of the controlled object change or have a large disturbance in the outside world,a fractional-order sliding mode controller is introduced,which has better anti-disturbance ability.The mathematical model of the permanent magnet synchronous motor is taken as the control object,and the sliding mode surface is designed as fractional order.The improved particle swarm optimization algorithm are proposed to optimize the parameters of the fractional sliding mode controller.The anti-interference experiment of permanent magnet synchronous motor is carried out.It is verified that it has stronger anti-interference ability than the integer-order sliding mode controller and fractional-order PID controller.