L2-gain Analysis and Synthesis of Saturated Switched Linear Systems
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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.
KeywordsActuator saturation anti-windup L2-gain single Lyapunov function switched systems tolerable disturbances
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- Z. Shiler, S. Filter, and S. Dubowski, “Time optimal paths and acceleration lines of robotic manipulators,” Proc. of the 26th Conf. Decision and Control, pp. 98–99, 1987.Google Scholar
- S. Pettersson, “Synthesis of switched linear systems,” Proc. of the 42nd Conf. Decision and Control, pp. 5283–5288, 2003.Google Scholar
- G. Zhai, “Quadratic stabilizability of discrete-time switched systems via state and output feedback,” Proc. of the 40th Conf. Decision and Control, pp. 2165–2166, 2001.Google Scholar
- H. Lin and P. J. Antsaklis, “Switching stabilization and l 2 gain performance controller synthesis for discrete-time switched linear systems,” Proc. of the 45th Conf. Decision and Control, pp. 2673–2678, 2006.Google Scholar