Robust H∞ reliable control for nonlinear switched systems with uncertainties and delays

This paper presents a method of designing robust H_∞ reliable controllers for a class of Lipschitz nonlinear delay switched systems. External disturbances and parameter uncertainties in the systems are assumed that they are unknown time-varying and norm-bounded. When faults exist on actuators, robust H_∞ reliable controllers are proposed by using Lyapunov stability theory and dwell time approach so that the closed-loop systems are globally exponentially stable with a guaranteed H_∞ performance level γ, which are based on switching strategy. Solutions of robust H_∞ reliable controllers can be achieved by linear matrix inequalities (LMIs) and finite dimensional convex optimization. A numerical example indicates that the proposed scheme is feasible and effective that can achieve the closed-loop system integrity in the presence of actuator failures.