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dc.contributor.authorWu, L.-
dc.contributor.authorSu, X.-
dc.contributor.authorShi, P.-
dc.contributor.authorQiu, J.-
dc.identifier.citationIEEE Transactions on Fuzzy Systems, 2011; 19(2):366-378-
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.-
dc.description.statementofresponsibilityLigang Wu, Xiaojie Su, Peng Shi, and Jianbin Qiu-
dc.publisherIEEE-Inst Electrical Electronics Engineers Inc-
dc.rights© 2011 IEEE-
dc.subjectDelay partitioning-
dc.subjectdiscrete-time systems-
dc.subjectH∞ model approximation-
dc.subjectTakagi–Sugeno (T–S) fuzzy systems-
dc.subjecttime delay.-
dc.titleModel approximation for discrete-time state-delay systems in the T-S fuzzy framework-
dc.typeJournal article-
dc.identifier.orcidShi, P. [0000-0001-8218-586X]-
Appears in Collections:Aurora harvest
Electrical and Electronic Engineering publications

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