Fixed-time sliding mode output tracking control for second-order switched systems with power integrators

Abstract

The issue of fixed-time sliding mode output tracking control is addressed for second-order switched systems, where the tracking reference signal is defined by a power-integrator exogenous system. A novel non-singular terminal sliding mode surface is constructed, in which a reference is introduced into the sliding mode surface. Subsequently, an explicit novel fixed-time output tracking control scheme is constructively developed to drive the tracking error into a small neighborhood of the origin in fixed-time. Some sufficient criteria are developed to guarantee that the switched systems track the reference signal in fixed-time. Finally, a numerical example and an application example of an electro-hydraulic system are provided to demonstrate the validity of the proposed method.