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		Lijun GAO,YuqiangWU.[en_title][J].Control Theory and Technology,2007,5(4):415~419.[Copy]

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LijunGAO,YuqiangWU
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Received:April 11, 2006Revised:April 27, 2007

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An LMI-based variable structure control for a class of uncertain singular Markov switched systems

Lijun GAO, YuqiangWU

(Institute of Automation, Qufu Normal University, Rizhao Shandong 276826, China)

Abstract:

An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results.

Key words: Markov switched systems Variable structure LMI Switching surface