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Zbl 1217.93046
Xiang, Zhengrong; Chen, Qingwei
Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching. (English)
[J] Appl. Math. Comput. 216, No. 3, 800-811 (2010). ISSN 0096-3003

Summary: This paper investigates the problem of robust reliable control for a class of switched nonlinear systems with time delay and actuator failures under asynchronous switching. When the switching instants of the controller experience delays with respect to those of the system, a kind of reliable controller design method is proposed, and the dwell time approach is utilized for the stability analysis. Sufficient conditions for the existence of a reliable controller are formulated in terms of a set of LMIs. Then the proposed approach is extended to take into account switched delay systems with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

MSC 2000:: *93B35 Sensitivity (robustness) of control systems
93C30 Control systems governed by other functional relations
93C10 Nonlinear control systems
93C41 Control problems with incomplete information

Keywords: time delay; reliable control; switched nonlinear systems; asynchronous switching

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