Delay-dependent robust control for uncertain discrete singular systems with time-varying delay |
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Authors: | Hui-jiao Wang Xiao-dong Zhao An-ke Xue Ren-quan Lu |
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Affiliation: | [1]Institute of Automation, Zhejiang Sci- Tech University, Hangzhou 310018, China [2]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. |
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Keywords: | Uncertain discrete singular system Time-varying delay Robust control Linear matrix inequality (LMI) |
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