H∞ model reduction of Takagi-Sugeno fuzzy stochastic systems

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dc.contributor.authorSu, X.
dc.contributor.authorWu, L.
dc.contributor.authorShi, P.
dc.contributor.authorSong, Y.
dc.date.issued2012
dc.description.abstractThis paper is concerned with the problem of H(∞) model reduction for Takagi-Sugeno (T-S) fuzzy stochastic systems. For a given mean-square stable T-S fuzzy stochastic system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with an H(∞) performance but also translates it into a linear lower dimensional system. Then, the model reduction is converted into a convex optimization problem by using a linearization procedure, and a projection approach is also presented, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.
dc.description.statementofresponsibilityXiaojie Su, Ligang Wu, Peng Shi and Yong-Duan Song
dc.identifier.citationIEEE Transactions on Cybernetics, 2012; 42(6):1574-1585
dc.identifier.doi10.1109/TSMCB.2012.2195723
dc.identifier.issn1083-4419
dc.identifier.issn1941-0492
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/2440/77924
dc.language.isoen
dc.publisherIEEE-Inst Electrical Electronics Engineers Inc
dc.rights© 2012 IEEE
dc.source.urihttps://doi.org/10.1109/tsmcb.2012.2195723
dc.subjectCone complementary linearization, H∞ model reduction, stochastic systems, Takagi–Sugeno (T–S) fuzzy systems.Discrete-time systems
dc.subjectfault estimation (FE)
dc.subjectpiecewise Lyapunov functions
dc.subjectTakagi–Sugeno (T–S) fuzzy models.
dc.titleH∞ model reduction of Takagi-Sugeno fuzzy stochastic systems
dc.title.alternativeH infinity model reduction of Takagi-Sugeno fuzzy stochastic systems
dc.typeJournal article
pubs.publication-statusPublished

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