Sliding Mode Control Of Permanent Magnet Linear Synchronous Motor Based On Linear Matrix Inequality

Permanent magnet linear synchronous motor is suitable for all kinds of mechanical equipment which need to be operated in a straight line.But because of its special structure,nonlinear,coupling,susceptible to load disturbance,it is difficult to establish accurate mathematical model,which puts forward higher requirements on the control system that can realize the technical and economic system.Sliding mode variable structure control(SMC)is a very effective method to control the position and speed of servo motor,because it has fast dynamic response,interference suppression and insensitivity to parameter changes.It's proposed the sliding mode control of permanent magnet linear synchronous motor based on linear matrix inequality(LMI)and the sliding mode H_? state feedback control of permanent magnet linear synchronous motor based on linear matrix inequality.The linear motor has better tracking precision and strong robustness,the chattering phenomenon can be eliminated effectively,specific work as follows:Firstly,the structure of the permanent magnet linear synchronous motor is analyzed,and the working principle of the permanent magnet synchronous linear motor is summarized.The d-q axis mathematical model of the permanent magnet linear synchronous motor is established based on the coordinate change.Then,based on the understanding of the basic principle of sliding mode control and the optimization method of linear matrix inequality,a sliding mode control method of permanent magnet linear synchronous motor based on LMI is proposed,This method combines the linear matrix inequality method to optimize the sliding surface and the feedback gain.On the basis of the traditional sliding mode control,the linear matrix inequality optimization method can effectively reduce the chattering and improve the tracking accuracy of the system.Finally,the control method is simulated by MATLAB software.Compared with the traditional sliding mode control,it has high tracking precision,strong robustness,and effectively reduces the chattering phenomenon.Finally,It's proposed the sliding mode H_? control of permanent magnet linear synchronous motor based on LMI.This method combines the sliding mode control and H_?state feedback control,and the feedback gain and the sliding mode surface are optimized by linear matrix inequality,so the problem is transformed into the optimization problem of linear matrix inequalities.Through simulated the control system,it is proved that this method can ensure the tracking accuracy and eliminate the chattering phenomenon,and the stability of the system is considered.