Conference Paper: Exponential stabilization of linear systems with time-varying sampling

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TitleExponential stabilization of linear systems with time-varying sampling
AuthorsGao, H
Wu, J
Lam, J
Chu, D
KeywordsStochastic Optimal Control Problems
Issue Date2008
CitationIfac Proceedings Volumes (Ifac-Papersonline), 2008, v. 17 n. 1 PART 1 [How to Cite?]
DOI: http://dx.doi.org/10.3182/20080706-5-KR-1001.1245
AbstractThis paper studies the problem of exponential stabilization of linear systems with time-varying sampling. The sampling rate varies form sample to sample with the given probability. By applying the input delay approach, the sampled-data system is transformed into a continuous time-delay system with stochastic parameter. A new exponential stability criterion is derived for the sampled-data system by using the Lyapunov functional approach. Based on this, the design procedure for stabilization controllers is presented by means of linear matrix inequalities (LMIs). An example shows the effectiveness of the proposed controller design methodology. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.
ISSN1474-6670
DOIhttp://dx.doi.org/10.3182/20080706-5-KR-1001.1245
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorGao, H
dc.contributor.authorWu, J
dc.contributor.authorLam, J
dc.contributor.authorChu, D
dc.date.accessioned2012-08-08T09:05:16Z
dc.date.available2012-08-08T09:05:16Z
dc.date.issued2008
dc.description.abstractThis paper studies the problem of exponential stabilization of linear systems with time-varying sampling. The sampling rate varies form sample to sample with the given probability. By applying the input delay approach, the sampled-data system is transformed into a continuous time-delay system with stochastic parameter. A new exponential stability criterion is derived for the sampled-data system by using the Lyapunov functional approach. Based on this, the design procedure for stabilization controllers is presented by means of linear matrix inequalities (LMIs). An example shows the effectiveness of the proposed controller design methodology. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationIfac Proceedings Volumes (Ifac-Papersonline), 2008, v. 17 n. 1 PART 1 [How to Cite?]
DOI: http://dx.doi.org/10.3182/20080706-5-KR-1001.1245
dc.identifier.doihttp://dx.doi.org/10.3182/20080706-5-KR-1001.1245
dc.identifier.issn1474-6670
dc.identifier.issue1 PART 1
dc.identifier.scopuseid_2-s2.0-79961018615
dc.identifier.urihttp://hdl.handle.net/10722/159038
dc.identifier.volume17
dc.languageeng
dc.relation.ispartofIFAC Proceedings Volumes (IFAC-PapersOnline)
dc.relation.referencesReferences in Scopus
dc.subjectStochastic Optimal Control Problems
dc.titleExponential stabilization of linear systems with time-varying sampling
dc.typeConference_Paper