Chaotic dynamics and synchronization of fractional order PMSM ‎system

‎In this paper, we investigate the chaotic behaviors of the fractionalorder permanent magnet synchronous motor (PMSM) system. The necessary condition for the existence of chaos in the fractionalorder PMSM system is deduced and an active controller is developed based on the stability theory for fractional systems. The presented control scheme  is simple and flexible, and it is suitable both for design and for implementation in practice. Simulation is carried out to verify that the obtained scheme is efficient and robust for controlling the fractionalorder PMSM system.