Robust H∞ reliable control for nonlinear delay switched systems based on the average dwell time approach

Abstract

This paper is concerned with the robust reliable control problem for a class of Lipschitz nonlinear delay switched systems. Considering the case of actuator fault, the sufficient condition is proposed to guarantee the global exponential stability with a guaranteed performance for the nonlinear delay switched systems by using the piecewise Lyapunov functional and average dwell time (ADT) approach. Then, the corresponding solvability condition for the desired robust reliable controllers is established, and the controller design is cast into a convex optimization problem which can be efficiently obtained by numerical software. A numerical example shows validity and feasibility of the proposed design method.