L2-gain Analysis and Synthesis of Saturated Switched Linear Systems

The problem of L 2 -gain analysis and anti-windup compensators design is investigated for saturated switched linear systems via the single Lyapunov function method. Firstly, a sufficient condition about tolerable disturbances is obtained, under which the state trajectory starting from the origin will remain inside a bounded set. Then over this set of tolerable disturbances, we obtain the upper bound of the restricted L 2 -gain. Furthermore, the anti-windup compensation gains and the switched law, which aim to determine the maximum disturbance tolerance capability and the minimum upper bound of the restricted L 2 -gain, are presented by solving constraint optimization problem. Finally we give a numerical example to demonstrate the effectiveness of the proposed method.