Stability Analysis and Antiwindup Design of Switched Linear Systems with Actuator Saturation

This paper investigates the stability analysis and anti-windup design problem for a class of switched linear systems with input saturation by using the multiple Lyapunov functions method. The premise is that a set of linear dynamic output controllers have been designed to stabilize the closed-loop system without saturation. Then, the anti-windup compensators and the switching law are designed which can enlarge the domain of attraction of the closed-loop system. Finally, the anti-windup compensators and the switching law are presented by solving an optimization problem with constraints. A numerical example is shown to demonstrate the effectiveness of proposed method.