Robust L∞ reliable control for uncertain nonlinear switched systems with time delay

This paper investigates the robust reliable L∞ control for a class of uncertain switched nonlinear systems with time delay. Firstly, L∞ performance condition for nonlinear switched system with time delay is proposed. Then, a sufficient condition of exponential stability with L∞ performance for switched system is given. Furthermore, a design methodology of the robust L∞ reliable control for switched nonlinear systems with time delay and parameter uncertainties is presented. The proposed state feedback controller, which guarantees exponential stability of closed-loop system, can be obtained using a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the main results.