Fractional Order Modeling And Asymptotic Stabilizing For Permanent Magnet Synchronous Motor System

In this paper, a fractional order model for speed and current control of permanent magnet synchronous motor (PMSM) is presented. Meanwhile, fractional order sliding mode control (SMC) is introduced to control the currents of d-axis and q-axis. First, a fractional-order model of permanent magnet synchronous motor is established. The effect of fractional order on the chaotic attractor is analyzed. Second, sliding mode type controller is introduced for current control. The presented control scheme, which contains current error, it is simple and flexible to implement in engineering. The desired q-axis current is designed by using the Lyapunov approach, the asymptotic stability of the closed loop is guaranteed with control term. Finally, numerical simulations are provided to illustrate that the obtained scheme is efficient and robust against external interference for controlling the fractional-order PMSM system.