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Article: Robust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates

TitleRobust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates
Authors
Zhang, BLam, JXu, SShu, Z
KeywordsExponential estimates
Robust stabilization
Takagi-Sugeno (T-S) fuzzy systems
Time delays
Uncertain systems
Issue Date2009
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/fss
Citation
Fuzzy Sets And Systems, 2009, v. 160 n. 12, p. 1720-1737 How to Cite?
DOI: http://dx.doi.org/10.1016/j.fss.2008.10.015
AbstractThis paper deals with the problem of robust stabilization for uncertain Takagi-Sugeno (T-S) fuzzy systems with constant time delays. The purpose is to design a state-feedback fuzzy controller such that the closed-loop system is robustly exponentially stable with a prescribed decay rate. Sufficient conditions for the solvability of this problem are presented in terms of linear matrix inequalities (LMIs). By using feasible solutions of these LMIs, desired fuzzy controllers are designed and their corresponding exponential estimates are given. In addition, the main results of this paper are explicitly dependent on the decay rate. This enables one to design fuzzy controllers by freely selecting decay rates according to different practical conditions. Two numerical examples are provided finally to demonstrate the effectiveness of the proposed design methods. © 2008 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/59099
ISSN
0165-0114
2023 Impact Factor: 3.2
2023 SCImago Journal Rankings: 1.009
ISI Accession Number ID
WOS:000266543500004
Funding AgencyGrant Number
RGC HKU7031/0611
National Science Foundation for Distinguished Young Scholars of P.R. China60625303
Doctoral Program of Higher Education20060288021
Natural Science Foundation of P.R China60850005
Natural Science Foundation of Jiangsu ProvinceBK2008047
Graduate Students in Jiangsu ProvinceCX07B_114z
Funding Information:

This work was supported in part by the RGC HKU 7031/0611, the Program for the National Science Foundation for Distinguished Young Scholars of P.R. China under Grant 60625303, (lie Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20060288021, the Natural Science Foundation of P.R China under Grant 60850005, the Natural Science Foundation of Jiangsu Province under Grant BK2008047, and the Research Innovation Program for Graduate Students in Jiangsu Province under Grant CX07B_114z

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, Ben_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorXu, Sen_HK
dc.contributor.authorShu, Zen_HK
dc.date.accessioned2010-05-31T03:42:51Z-
dc.date.available2010-05-31T03:42:51Z-
dc.date.issued2009en_HK
dc.identifier.citationFuzzy Sets And Systems, 2009, v. 160 n. 12, p. 1720-1737en_HK
dc.identifier.issn0165-0114en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59099-
dc.description.abstractThis paper deals with the problem of robust stabilization for uncertain Takagi-Sugeno (T-S) fuzzy systems with constant time delays. The purpose is to design a state-feedback fuzzy controller such that the closed-loop system is robustly exponentially stable with a prescribed decay rate. Sufficient conditions for the solvability of this problem are presented in terms of linear matrix inequalities (LMIs). By using feasible solutions of these LMIs, desired fuzzy controllers are designed and their corresponding exponential estimates are given. In addition, the main results of this paper are explicitly dependent on the decay rate. This enables one to design fuzzy controllers by freely selecting decay rates according to different practical conditions. Two numerical examples are provided finally to demonstrate the effectiveness of the proposed design methods. © 2008 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/fssen_HK
dc.relation.ispartofFuzzy Sets and Systemsen_HK
dc.subjectExponential estimatesen_HK
dc.subjectRobust stabilizationen_HK
dc.subjectTakagi-Sugeno (T-S) fuzzy systemsen_HK
dc.subjectTime delaysen_HK
dc.subjectUncertain systemsen_HK
dc.titleRobust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimatesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0165-0114&volume=160&issue=12&spage=1720&epage=1737&date=2009&atitle=Robust+stabilization+of+uncertain+T-S+fuzzy+time-delay+systems+with+exponential+estimatesen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.fss.2008.10.015en_HK
dc.identifier.scopuseid_2-s2.0-64949158453en_HK
dc.identifier.hkuros164258en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-64949158453&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume160en_HK
dc.identifier.issue12en_HK
dc.identifier.spage1720en_HK
dc.identifier.epage1737en_HK
dc.identifier.isiWOS:000266543500004-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridZhang, B=15838279400en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridXu, S=7404438591en_HK
dc.identifier.scopusauthoridShu, Z=25652150400en_HK
dc.identifier.citeulike5973637-
dc.identifier.issnl0165-0114-

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