L2-gain Analysis for Switched Saturated Systems Based on Anti-windup Technique

In this paper, the problem on L
₂
-gain analysis and anti-windup design is studied for linear switched saturated systems by the common Lyapunov function method. Firstly, the sufficient condition about tolerable disturbances is obtained and under this condition, the state trajectory that starts from the origin will be still on a bounded set. Then, we obtain the upper bound for restricted L
₂
-gain. Furthermore, to determine the maximum capability of disturbance tolerance and the minimum upper bound of restricted L
₂
-gain, the anti-windup compensators are computed by solving a constraints optimization problem. Finally, a numerical example is given to verify the effectiveness of proposed approach.