Chaos synchronization of two different PMSM using a fractional order sliding mode controller

This paper investigates the fractional-order sliding mode control design to synchronize two different chaotic permanent magnet synchronous motors (PMSM). In fact, by designing a fractional-order sliding mode surface, it is proved that the corresponding synchronization error is Mittag-Leffler (or asymptotic) stable. The simulation results demonstrate that the proposed controller is robust against the modeling uncertainties, parametric variations and unknown external disturbances and can considerably reduce the chattering effect.