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Article: Stability and stabilization of delayed T-S fuzzy systems: A delay partitioning approach

TitleStability and stabilization of delayed T-S fuzzy systems: A delay partitioning approach
Authors
KeywordsDelay partitioning
Stability
Takagi-Sugeno (T-S) fuzzy systems
Time-delay systems
Uncertainties
Issue Date2009
PublisherIEEE.
Citation
Ieee Transactions On Fuzzy Systems, 2009, v. 17 n. 4, p. 750-762 How to Cite?
AbstractThis paper proposes a new approach, namely, the delay partitioning approach, to solving the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno fuzzy systems. Based on the idea of delay fractioning, a new method is proposed for the delay-dependent stability analysis of fuzzy time-delay systems. Due to the instrumental idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. The conservatism reduction becomes more obvious with the partitioning getting thinner. Based on this, the problem of stabilization via the so-called parallel distributed compensation scheme is also solved. Both the stability and stabilization results are further extended to time-delay fuzzy systems with time-varying parameter uncertainties. All the results are formulated in the form of linear matrix inequalities (LMIs), which can be readily solved via standard numerical software. The advantage of the results proposed in this paper lies in their reduced conservatism, as shown via detailed illustrative examples. The idea of delay partitioning is well demonstrated to be efficient for conservatism reduction and could be extended to solving other problems related to fuzzy delay systems. © 2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/131083
ISSN
2015 Impact Factor: 6.701
2015 SCImago Journal Rankings: 5.800
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation of China60825303
60834003
973 Project2009CB320600
Doctoral Programme of Higher Education of China20070213084
Heilongjiang Outstanding Youth Science FundJC200809
Postdoctoral Science Foundation of China200801282
Fok Ying Tung Education Foundation111064
Research Grants CouncilHKU 7031/07P
Funding Information:

This work was supported in part by the National Natural Science Foundation of China (60825303, 60834003), in part by the 973 Project (2009CB320600), in part by the Research Fund for the Doctoral Programme of Higher Education of China (20070213084), in part by the Heilongjiang Outstanding Youth Science Fund (JC200809), in part by Postdoctoral Science Foundation of China (200801282), in part by the Fok Ying Tung Education Foundation (111064), and in part by the Research Grants Council under HKU 7031/07P.

References

 

DC FieldValueLanguage
dc.contributor.authorZhao, Yen_HK
dc.contributor.authorGao, Hen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorDu, Ben_HK
dc.date.accessioned2011-01-24T06:12:51Z-
dc.date.available2011-01-24T06:12:51Z-
dc.date.issued2009en_HK
dc.identifier.citationIeee Transactions On Fuzzy Systems, 2009, v. 17 n. 4, p. 750-762en_HK
dc.identifier.issn1063-6706en_HK
dc.identifier.urihttp://hdl.handle.net/10722/131083-
dc.description.abstractThis paper proposes a new approach, namely, the delay partitioning approach, to solving the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno fuzzy systems. Based on the idea of delay fractioning, a new method is proposed for the delay-dependent stability analysis of fuzzy time-delay systems. Due to the instrumental idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. The conservatism reduction becomes more obvious with the partitioning getting thinner. Based on this, the problem of stabilization via the so-called parallel distributed compensation scheme is also solved. Both the stability and stabilization results are further extended to time-delay fuzzy systems with time-varying parameter uncertainties. All the results are formulated in the form of linear matrix inequalities (LMIs), which can be readily solved via standard numerical software. The advantage of the results proposed in this paper lies in their reduced conservatism, as shown via detailed illustrative examples. The idea of delay partitioning is well demonstrated to be efficient for conservatism reduction and could be extended to solving other problems related to fuzzy delay systems. © 2009 IEEE.en_HK
dc.languageeng-
dc.publisherIEEE.-
dc.relation.ispartofIEEE Transactions on Fuzzy Systemsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsIEEE Transactions on Fuzzy Systems. Copyright © IEEE.-
dc.rights©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.subjectDelay partitioningen_HK
dc.subjectStabilityen_HK
dc.subjectTakagi-Sugeno (T-S) fuzzy systemsen_HK
dc.subjectTime-delay systemsen_HK
dc.subjectUncertaintiesen_HK
dc.titleStability and stabilization of delayed T-S fuzzy systems: A delay partitioning approachen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1063-6706&volume=17&issue=4&spage=750&epage=762&date=2009&atitle=Stability+and+stabilization+of+delayed+T-S+fuzzy+systems:+A+delay+partitioning+approach-
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/TFUZZ.2008.928598en_HK
dc.identifier.scopuseid_2-s2.0-68849094910en_HK
dc.identifier.hkuros179593-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-68849094910&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume17en_HK
dc.identifier.issue4en_HK
dc.identifier.spage750en_HK
dc.identifier.epage762en_HK
dc.identifier.isiWOS:000268527100002-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhao, Y=14059237200en_HK
dc.identifier.scopusauthoridGao, H=7402971422en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridDu, B=25823711000en_HK

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