Sliding mode control for synchronization of fractional permanent magnet synchronous motors with finite time

Chaos synchronization of motor system has been central to recent experimental and theoretical investigations. This paper concentrates on the fractional version of permanent magnet synchronous motors (PMSM). The necessary condition for the emergence of chaos in fractional PMSM is deduced. Based on the fractional stability theory, a sliding mode control scheme for synchronization of fractional PMSM is developed. This scheme is simple with a single control input and can realize the asymptotical synchronization in a finite time. Finally, simulation results are provided to verify the effectiveness of the proposed scheme.