Intelligent fractional-order integral sliding mode control for PMSM based on an improved cascade observer

In this paper,an intelligent fractional-order integral sliding mode control(FOISMC)strategy based on an improved cascade observer is proposed.First,an FOISMC strategy is designed to control a permanent magnet synchronous motor.It has good tracking performance,is strongly robust,and can effectively reduce chattering.The proposed FOISMC strategy associates strong points of the integral action(which can eliminate steady-state tracking errors)and the fractional calculus(which is flexible).Second,an improved cascade observer is proposed to detect the rotor information with a smaller observation error.The proposed observer combines an adaptive sliding mode observer and an extended high-gain observer.In addition,an improved variable-speed grey wolf optimization algorithm is designed to enhance controller parameters.The effectiveness of the strategy is tested using simulations and an experiment involving model uncertainty and external disturbance.