A Novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay

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dc.contributor.authorSu, X.
dc.contributor.authorShi, P.
dc.contributor.authorWu, L.
dc.contributor.authorSong, Y.
dc.date.issued2012
dc.description.abstractIn this paper, the problem of l2- l∞ filtering for a class of discrete-time Takagi-Sugeno (T-S) fuzzy time-varying delay systems is studied. Our attention is focused on the design of full- and reduced-order filters that guarantee the filtering error system to be asymptotically stable with a prescribed H∞ performance. Sufficient conditions for the obtained filtering error system are proposed by applying an input-output approach and a two-term approximation method, which is employed to approximate the time-varying delay. The corresponding full- and reduced-order filter design is cast into a convex optimization problem, which can be efficiently solved by standard numerical algorithms. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
dc.description.statementofresponsibilityXiaojie Su, Peng Shi, Ligang Wu and Yong-Duan Song
dc.identifier.citationIEEE Transactions on Fuzzy Systems, 2012; 20(6):1114-1129
dc.identifier.doi10.1109/TFUZZ.2012.2196522
dc.identifier.issn1063-6706
dc.identifier.issn1941-0034
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/75874
dc.language.isoen
dc.publisherIEEE-Inst Electrical Electronics Engineers Inc
dc.source.urihttps://doi.org/10.1109/tfuzz.2012.2196522
dc.subjectApproximation methods
dc.subjectdelay systems
dc.subjectsymmetric matrices
dc.subjecttime varying systems
dc.subjectuncertainty
dc.titleA Novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay
dc.typeJournal article
pubs.publication-statusPublished

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