Robust controller design for permanent magnet linear synchronous motor drive system based on L2 gain

The paper presents a nonlinear L₂ robust control method for permanent magnet linear synchronous motor (PMLSM) drive system. Firstly, the nonlinear mathematical model of the motor is set up, and then a L₂ robust controller is given by properly defined storage functions which are designed by back-stepping method. Furthermore, the L₂ robust controller is shown to achieve the disturbance attenuation and the asymptotic stability based on the controller. Simulation analysis is processed. Simulation results show the system with the L₂ robust controller can guarantee the good disturbance attenuation as well as the tracks of input signal, and can finally enhance control requirement for high-performance servo system.