Non-fragile guaranteed cost control of nonlinear switched systems with actuator saturation

Abstract

This paper considers a non-fragile guaranteed cost control problem for a class of nonlinear switched systems with actuator saturation. For nonlinear switched systems, we derive some sufficient conditions to satisfy simultaneously the stabilization and the performance index of guaranteed cost control. To ensure the asymptotic stability of the nonlinear switched systems and minimize the upper bound of cost function, a switching law and non-fragile state feedback controllers are designed using the multiple Lyapunov functions method. On this basis, an optimization problem is solved by adopting linear matrix inequality (LMI) constraints, and the minimum upper bound of cost function is determined. At the end of the paper, a numerical example is given to prove the effectiveness of the proposed method.