Non-fragile Robust Stabilization of Nonlinear Uncertain Switched Systems with Actuator Saturation

In this paper, the non-fragile stabilization problem is investigated for a class of uncertain nonlinear switched systems with actuator saturation. The sufficient condition for guaranteeing non-fragile robust stabilization of the system is derived by using the method of multiple Lyapunov functions. Then, a switching law and the non-fragile state feedback controllers are designed such that the closed-loop system can be robustly asymptotically stabilized at the origin. Finally, when some scalar parameters of the closed-loop system are given, the design issue of the non-fragile state feedback controllers and the switching law, which aim at enlarging the estimation of domain of attraction for closed-loop system, is transformed into a convex optimization issue with linear matrix inequalities constraints, and a numerical example is given to verify the effectiveness of the proposed method.