A novel control design on discrete-time Takagi-Sugeno fuzzy systems with time-varying delays

dc.contributor.authorSu, X.
dc.contributor.authorShi, P.
dc.contributor.authorWu, L.
dc.contributor.authorSong, Y.
dc.date.issued2013
dc.description.abstractThis paper focuses on analyzing a new model transformation of discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays and applying it to dynamic output feedback (DOF) controller design. A new comparison model is proposed by employing a new approximation for time-varying delay state, and then, a delay partitioning method is used to analyze the scaled small gain of this comparison model. A sufficient condition on discrete-time T-S fuzzy systems with time-varying delays, which guarantees the corresponding closed-loop system to be asymptotically stable and has an induced ℓ2 disturbance attenuation performance, is derived by employing the scaled small-gain theorem. Then, the solvability condition for the induced ℓ2 DOF control is also established, by which the DOF controller can be solved as linear matrix inequality optimization problems. Finally, 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, 2013; 21(4):655-671
dc.identifier.doi10.1109/TFUZZ.2012.2226941
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/2440/80373
dc.language.isoen
dc.publisherIEEE-Inst Electrical Electronics Engineers Inc
dc.rights© 2013 IEEE
dc.source.urihttps://doi.org/10.1109/tfuzz.2012.2226941
dc.subjectDynamic output feedback (DOF) control
dc.subjectinduced 2 performance
dc.subjectscaled small-gain (SSG) theorem
dc.subjectTakagi–Sugeno (T–S) fuzzy systems
dc.subjecttime-varying delays
dc.titleA novel control design on discrete-time Takagi-Sugeno fuzzy systems with time-varying delays
dc.typeJournal article
pubs.publication-statusPublished

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