Conference Paper: New criteria of reachable set estimation for time delay systems subject to polytopic uncertainties

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TitleNew criteria of reachable set estimation for time delay systems subject to polytopic uncertainties
AuthorsZuo, Z2
Chen, Y
Wang, Y2
Chen, MZ
KeywordsEllipsoidal bound
Free-weighting matrices
Jensen's inequality
Lyapunov functionals
Lyapunov-krasovskii functionals
Issue Date2012
PublisherInternational Federation of Automatic Control.
CitationThe 7th IFAC Symposium on Robust Control Design, Denmark, 20-22 June 2012. In IFAC Proceedings, 2012, v. 7 pt. 1, p. 231-235 [How to Cite?]
DOI: http://dx.doi.org/10.3182/20120620-3-DK-2025.00053
AbstractThe problem of reachable set estimation for linear systems subject to both time delay and polytopic uncertainties is considered in this paper. Our aim is to find a set as small as possible to bound the states starting from the origin by inputs with peak values. The Lyapunov-Krasovskii functional together with free-weighting matrix technique are proposed to derive some sufficient conditions for the existence of an ellipsoidal bound to estimate the states. This method eliminates the conservatism generated by Jensen's inequality and obtains a much tighter reachable set bound. In addition, the number of variables to be determined is smaller than the previous result based on the maximal Lyapunov functional. Finally, an example illustrates the merits of our proposed results. © 2012 IFAC.
ISBN978-3-902823-03-8
ISSN1474-6670
DOIhttp://dx.doi.org/10.3182/20120620-3-DK-2025.00053
DC Field
Value
dc.contributor.authorZuo, Z
dc.contributor.authorChen, Y
dc.contributor.authorWang, Y
dc.contributor.authorChen, MZ
dc.date.accessioned2012-08-16T06:07:35Z
dc.date.available2012-08-16T06:07:35Z
dc.date.issued2012
dc.description.abstractThe problem of reachable set estimation for linear systems subject to both time delay and polytopic uncertainties is considered in this paper. Our aim is to find a set as small as possible to bound the states starting from the origin by inputs with peak values. The Lyapunov-Krasovskii functional together with free-weighting matrix technique are proposed to derive some sufficient conditions for the existence of an ellipsoidal bound to estimate the states. This method eliminates the conservatism generated by Jensen's inequality and obtains a much tighter reachable set bound. In addition, the number of variables to be determined is smaller than the previous result based on the maximal Lyapunov functional. Finally, an example illustrates the merits of our proposed results. © 2012 IFAC.
dc.description.naturelink_to_OA_fulltext
dc.identifier.citationThe 7th IFAC Symposium on Robust Control Design, Denmark, 20-22 June 2012. In IFAC Proceedings, 2012, v. 7 pt. 1, p. 231-235 [How to Cite?]
DOI: http://dx.doi.org/10.3182/20120620-3-DK-2025.00053
dc.identifier.doihttp://dx.doi.org/10.3182/20120620-3-DK-2025.00053
dc.identifier.epage235
dc.identifier.hkuros205413
dc.identifier.isbn978-3-902823-03-8
dc.identifier.issn1474-6670
dc.identifier.issuept. 1
dc.identifier.scopuseid_2-s2.0-84866122272
dc.identifier.spage231
dc.identifier.urihttp://hdl.handle.net/10722/160291
dc.identifier.volume7
dc.languageeng
dc.publisherInternational Federation of Automatic Control.
dc.relation.ispartofIFAC Proceedings
dc.subjectEllipsoidal bound
dc.subjectFree-weighting matrices
dc.subjectJensen's inequality
dc.subjectLyapunov functionals
dc.subjectLyapunov-krasovskii functionals
dc.titleNew criteria of reachable set estimation for time delay systems subject to polytopic uncertainties
dc.typeConference_Paper
Author Affiliations
  1. The University of Hong Kong
  2. Tianjin University