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Stability analysis and observer design for discrete-time systems with interval time-varying delay

2015; Wiley; Volume: 37; Issue: 2 Linguagem: Inglês

10.1002/oca.2171

1099-1514

Yali Dong, Laijun Chen, Shengwei Mei,

Neural Networks Stability and Synchronization

Optimal Control Applications and MethodsVolume 37, Issue 2 p. 340-358 Research Article Stability analysis and observer design for discrete-time systems with interval time-varying delay Yali Dong, Corresponding Author Yali Dong School of Science, Tianjin Polytechnic University, Tianjin, 300387 China Correspondence to: Yali Dong, School of Science, Tianjin Polytechnic University, Tianjin 300387, China. E-mail: dongyl@vip.sina.comSearch for more papers by this authorLaijun Chen, Laijun Chen Department of Electrical Engineering, Tsinghua University, Beijing, 100084 ChinaSearch for more papers by this authorShengwei Mei, Shengwei Mei Department of Electrical Engineering, Tsinghua University, Beijing, 100084 ChinaSearch for more papers by this author Yali Dong, Corresponding Author Yali Dong School of Science, Tianjin Polytechnic University, Tianjin, 300387 China Correspondence to: Yali Dong, School of Science, Tianjin Polytechnic University, Tianjin 300387, China. E-mail: dongyl@vip.sina.comSearch for more papers by this authorLaijun Chen, Laijun Chen Department of Electrical Engineering, Tsinghua University, Beijing, 100084 ChinaSearch for more papers by this authorShengwei Mei, Shengwei Mei Department of Electrical Engineering, Tsinghua University, Beijing, 100084 ChinaSearch for more papers by this author First published: 15 April 2015 https://doi.org/10.1002/oca.2171Citations: 7Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Summary The problem of observer design for a class of nonlinear discrete-time systems with time-varying delay is considered. A new approach of nonlinear observer design is proposed for the class of systems. By using Lyapunov's stability theory and Schur complement lemma, the novel sufficient conditions that guarantee the observer error converge asymptotically to zero are obtained in terms of linear matrix inequalities. The computing method for observer gain matrix is given. Finally, simulation examples are provided to demonstrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd. Citing Literature Volume37, Issue2March/April 2016Pages 340-358 RelatedInformation