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		Zhongwei LIN,Weihai ZHANG.[en_title][J].Control Theory and Technology,2007,5(3):291~294.[Copy]

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ZhongweiLIN,WeihaiZHANG
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Received:May 10, 2006Revised:October 30, 2006

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State-feedback H₂/H-infinity controller design with D-stability constraints for stochastic systems

Zhongwei LIN, Weihai ZHANG

(College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao Shandong 266510, China)

Abstract:

This paper addresses the state-feedback H₂/H-infinity controller design that satisfies D-stability constraints for stochastic systems. Firstly, the concept of regional stability for stochastic systems is defined in linear matrix inequality(LMI) regions; Secondly, the characterization about stochastic D-stability is presented. This paper introduces a new technique to solve the regional stability problem for stochastic systems, which is different from the pole placement technique ever used in deterministic systems. Based on this, in the state-feedback case, mixed H₂/H-infinity synthesis with D-stability constraints is discussed via LMI optimization.

Key words: LMI region D-stability H-infinity control