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Article: New results on H ∞ filtering for fuzzy systems with interval time-varying delays

TitleNew results on H ∞ filtering for fuzzy systems with interval time-varying delays
Authors
KeywordsDelay partitioning
Fuzzy systems
H ∞ filtering
Time-varying delay
Issue Date2011
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins
Citation
Information Sciences, 2011, v. 181 n. 11, p. 2356-2369 How to Cite?
AbstractThis paper investigates the problem of H ∞ filtering for continuous Takagi-Sugeno (T-S) fuzzy systems with an interval time-varying delay in the state. Based on the delay partitioning idea, a new approach is proposed for solving this problem, which can achieve much less conservative feasibility conditions. The attention is focused on the design of an H ∞ filter via the parallel distributed compensation scheme such that the filter error system is asymptotically stable and the H ∞ attenuation level from disturbance to estimation error is below a prescribed scalar. The constructed Lyapunov-Krasovskii functional, by applying the delay partitioning method, can potentially guarantee the obtained delay-dependent conditions to be less conservative than those in the literature. The obtained results are formulated in the form of linear matrix inequalities (LMIs), which can be readily solved via standard numerical software. Finally, an example is illustrated to show the reduction in conservatism of the proposed filter design method. © 2011 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/139436
ISSN
2015 Impact Factor: 3.364
2015 SCImago Journal Rankings: 2.513
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation of China60825303
60834003
90916005
973 Project2009CB320600
Foundation for the Author of National Excellent Doctoral Dissertation of China2007E4
Key Laboratory of Integrated Automation for the Process Industry (Northeastern University)
Ministry of Education, China
HKU CRCG200907176129
Funding Information:

This work was partly supported by the National Natural Science Foundation of China (60825303, 60834003, 90916005), the 973 Project (2009CB320600), the Foundation for the Author of National Excellent Doctoral Dissertation of China (2007E4), the Key Laboratory of Integrated Automation for the Process Industry (Northeastern University), Ministry of Education, China, and HKU CRCG 200907176129.

References

 

DC FieldValueLanguage
dc.contributor.authorZhao, Yen_HK
dc.contributor.authorGao, Hen_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2011-09-23T05:49:29Z-
dc.date.available2011-09-23T05:49:29Z-
dc.date.issued2011en_HK
dc.identifier.citationInformation Sciences, 2011, v. 181 n. 11, p. 2356-2369en_HK
dc.identifier.issn0020-0255en_HK
dc.identifier.urihttp://hdl.handle.net/10722/139436-
dc.description.abstractThis paper investigates the problem of H ∞ filtering for continuous Takagi-Sugeno (T-S) fuzzy systems with an interval time-varying delay in the state. Based on the delay partitioning idea, a new approach is proposed for solving this problem, which can achieve much less conservative feasibility conditions. The attention is focused on the design of an H ∞ filter via the parallel distributed compensation scheme such that the filter error system is asymptotically stable and the H ∞ attenuation level from disturbance to estimation error is below a prescribed scalar. The constructed Lyapunov-Krasovskii functional, by applying the delay partitioning method, can potentially guarantee the obtained delay-dependent conditions to be less conservative than those in the literature. The obtained results are formulated in the form of linear matrix inequalities (LMIs), which can be readily solved via standard numerical software. Finally, an example is illustrated to show the reduction in conservatism of the proposed filter design method. © 2011 Elsevier Inc. All rights reserved.en_HK
dc.languageengen_US
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/insen_HK
dc.relation.ispartofInformation Sciencesen_HK
dc.subjectDelay partitioningen_HK
dc.subjectFuzzy systemsen_HK
dc.subjectH ∞ filteringen_HK
dc.subjectTime-varying delayen_HK
dc.titleNew results on H ∞ filtering for fuzzy systems with interval time-varying delaysen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-0255&volume=181&issue=11&spage=2356&epage=2369&date=2011&atitle=New+results+on+H∞+filtering+for+fuzzy+systems+with+interval+time-varying+delaysen_US
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.ins.2011.01.032en_HK
dc.identifier.scopuseid_2-s2.0-79953286430en_HK
dc.identifier.hkuros196481en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79953286430&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume181en_HK
dc.identifier.issue11en_HK
dc.identifier.spage2356en_HK
dc.identifier.epage2369en_HK
dc.identifier.isiWOS:000292622100021-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhao, Y=35423080800en_HK
dc.identifier.scopusauthoridGao, H=7402971422en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.citeulike8763748-

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