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Yongfang XIE,Weihua GUI,Zhaohui JIANG.[en_title][J].Control Theory and Technology,2006,4(2):193~200.[Copy]
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YongfangXIE,WeihuaGUI,ZhaohuiJIANG
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Received:June 20, 2005Revised:March 02, 2006
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Decentralized robust H-infinity descriptor output feedback control for value-bounded uncertain descriptor large-scale systems
Yongfang XIE, Weihua GUI, Zhaohui JIANG
(College of Information Science and Engineering, Central South University, Changsha Hunan 410083, China)
Abstract:
For a class of value-bounded uncertain descriptor large-scale interconnected systems, the decentralized robust H∞ descriptor output feedback control problem is investigated. A design method based on the bounded real lemma is developed for a decentralized descriptor dynamic output feedback controller, which is reduced to a feasibility problem for a nonlinear matrix inequality (NLMI). It is proposed to solve the NLMI iteratively by the idea of homotopy, where some of the variables are fixed alternately at each iteration to reduce the NLMI to a linear matrix inequality (LMI). A given example shows the efficiency of this method
Key words:  Descriptor output feedback  Value-bounded uncertainty  Decentralized H-infinity control  Homotopy method  LMI