Local stability analysis of continuous-time Takagi-Sugeno fuzzy systems: A fuzzy Lyapunov function approach

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dc.contributor.authorLee, Dong Hwanko
dc.contributor.authorJoo, Young Hoonko
dc.contributor.authorTak, Myung Hwanko
dc.date.accessioned2020-03-19T03:22:36Z-
dc.date.available2020-03-19T03:22:36Z-
dc.date.created2020-03-16-
dc.date.created2020-03-16-
dc.date.issued2014-02-
dc.identifier.citationINFORMATION SCIENCES, v.257, pp.163 - 175-
dc.identifier.issn0020-0255-
dc.identifier.urihttp://hdl.handle.net/10203/272854-
dc.description.abstractThis paper proposes a strategy to estimate invariant subsets of the domain of attraction (DA) for asymptotically stable zero equilibrium points of continuous-time Takagi-Sugeno (T-S) fuzzy systems. Specifically, by using Lyapunov's stability theory and the linear matrix inequality (LMI) technique, sufficient conditions for proving the local stability are provided in terms of single-parameter minimization problems subject to LMI constraints or eigen-value problems, which are solvable via convex optimizations. The fuzzy Lyapunov functions (FLFs), expressed by the so-called multi-dimensional fuzzy summations, are employed to characterize invariant subsets of the DA as sublevel sets of the FLFs. To compute a larger inner estimate of the DA, an iterative LMI algorithm is also developed. Finally, illustrative examples show the efficacy of the approach.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE INC-
dc.titleLocal stability analysis of continuous-time Takagi-Sugeno fuzzy systems: A fuzzy Lyapunov function approach-
dc.typeArticle-
dc.identifier.wosid000329003200011-
dc.identifier.scopusid2-s2.0-84888638879-
dc.type.rimsART-
dc.citation.volume257-
dc.citation.beginningpage163-
dc.citation.endingpage175-
dc.citation.publicationnameINFORMATION SCIENCES-
dc.identifier.doi10.1016/j.ins.2013.08.036-
dc.contributor.localauthorLee, Dong Hwan-
dc.contributor.nonIdAuthorJoo, Young Hoon-
dc.contributor.nonIdAuthorTak, Myung Hwan-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorContinuous-time Takagi-Sugeno (T-S) fuzzy system-
dc.subject.keywordAuthorFuzzy Lyapunov function (FLF)-
dc.subject.keywordAuthorConvex optimization-
dc.subject.keywordAuthorDomain of attraction (DA)-
dc.subject.keywordAuthorLocal stability-
dc.subject.keywordPlusNONQUADRATIC STABILIZATION CONDITIONS-
dc.subject.keywordPlusNONLINEAR-SYSTEMS-
dc.subject.keywordPlusQUADRATIC STABILIZATION-
dc.subject.keywordPlusCONTROLLER SYNTHESIS-
dc.subject.keywordPlusRELAXED STABILITY-
dc.subject.keywordPlusMODELS-
dc.subject.keywordPlusLMI-
dc.subject.keywordPlusDESIGN-
dc.subject.keywordPlusPERFORMANCE-
dc.subject.keywordPlusOBSERVERS-
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