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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (8): 1034-1042    DOI: 10.1631/jzus.A0720008
Electrical & Electronic Engineering     
Delay-dependent robust control for uncertain discrete singular systems with time-varying delay
Hui-jiao WANG, Xiao-dong ZHAO, An-ke XUE, Ren-quan LU
Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China; Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China
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Abstract  The design problem of delay-dependent robust control for uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent robust stability condition is derived and expressed in terms of linear matrix inequalities (LMIs). A suitable robust state feedback control law is presented, which guarantees that the resultant closed-loop system is regular, causal and stable for all admissible uncertainties. Numerical examples are given to demonstrate the applicability of the proposed method.

Key words： Uncertain discrete singular system      Time-varying delay      Robust control      Linear matrix inequality (LMI)     
Received: 22 September 2007     
CLC:  TP273  
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Hui-jiao WANG
Xiao-dong ZHAO
An-ke XUE
Ren-quan LU
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Hui-jiao WANG, Xiao-dong ZHAO, An-ke XUE, Ren-quan LU. Delay-dependent robust control for uncertain discrete singular systems with time-varying delay. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(8): 1034-1042.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A0720008     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I8/1034

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