Stability Analysis and Design of Switched Saturated Systems Based on Antiwindup Technique

The problem of stability analysis and anti-windup design is investigated for a class of switched linear systems subject to actuator saturation by using the common Lyapunov function method. Suppose that a group of dynamic output controllers have been designed and they can stabilize the closed-loop system in the absence of saturation. Then, the anti-windup compensators are designed, which aims for enlarging the domain of attraction of system with saturation. Finally, the anti-windup compensators are calculated by solving an optimization problem with linear matrix inequalities (LMI) constraints. A numerical example is given to show the effectiveness of proposed method.