Fractional Order Sliding Mode Control via Disturbance Observer for a Class of Fractional Order Systems With Mismatched Disturbance

Abstract

This paper investigates a novel fractional order sliding mode control for a class of fractional order and integer order systems with mismatched disturbances. First, a new fractional order disturbance observer is designed to estimate the fractional order differential of the mismatched disturbance directly. Second, the fractional order sliding surface and controller are proposed based on the designed disturbance observer. This method can deal with mismatched disturbance and has better control performance with faster response speed, lower overshoot, and less chattering effect. The simulations on Maglev suspension system demonstrate the effectiveness of the proposed method.