Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/83130
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dc.contributor.authorWu, L.en
dc.contributor.authorSu, X.en
dc.contributor.authorShi, P.en
dc.contributor.authorQiu, J.en
dc.date.issued2011en
dc.identifier.citationIEEE Transactions on Fuzzy Systems, 2011; 19(2):366-378en
dc.identifier.issn1063-6706en
dc.identifier.issn1941-0034en
dc.identifier.urihttp://hdl.handle.net/2440/83130-
dc.description.abstractThis paper is concerned with the problem of H∞ model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy time-delay systems. For a given stable T- S fuzzy system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well in an H∞ performance but is also translated into a linear lower dimensional system. By applying the delay partitioning approach, a delay-dependent sufficient condition is proposed for the asymptotic stability with an H∞ error performance for the error system. Then, the H∞ model approximation problem is solved by using the projection approach, which casts the model approximation into a sequential minimization problem subject to linear matrix inequality (LMI) constraints by employing the cone complementary linearization algorithm. Moreover, by further extending the results, H∞ model approximation with special structures is obtained, i.e., delay-free model and zero-order model. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.en
dc.description.statementofresponsibilityLigang Wu, Xiaojie Su, Peng Shi, and Jianbin Qiuen
dc.language.isoenen
dc.publisherIEEE-Inst Electrical Electronics Engineers Incen
dc.rights© 2011 IEEEen
dc.subjectDelay partitioning; discrete-time systems; H∞ model approximation; Takagi–Sugeno (T–S) fuzzy systems; time delay.en
dc.titleModel approximation for discrete-time state-delay systems in the T-S fuzzy frameworken
dc.typeJournal articleen
dc.identifier.rmid0020128137en
dc.identifier.doi10.1109/TFUZZ.2011.2104363en
dc.identifier.pubid19678-
pubs.library.collectionElectrical and Electronic Engineering publicationsen
pubs.verification-statusVerifieden
pubs.publication-statusPublisheden
dc.identifier.orcidShi, P. [0000-0001-8218-586X]en
Appears in Collections:Electrical and Electronic Engineering publications

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