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L2-gain Analysis and Synthesis of Saturated Switched Linear Systems

Xinquan Zhang*, Wenhua Tao, and Qingyu Su
International Journal of Control, Automation, and Systems, vol. 17, no. 11, pp.2714-2721, 2019

Abstract : The problem of L2-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 L2-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 L2-gain, are presented by solving constraint optimization problem. Finally we give a numerical example to demonstrate the effectiveness of the proposed method.

Keyword : Actuator saturation, anti-windup, L2-gain, single Lyapunov function, switched systems, tolerable disturbances

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