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Article: Fuzzy-model-based robust fault detection with stochastic mixed time delays and successive packet dropouts

TitleFuzzy-model-based robust fault detection with stochastic mixed time delays and successive packet dropouts
Authors
KeywordsDiscrete-Time Fuzzy Systems
Fault Detection
Networked Control Systems (NCSs)
Packet Dropouts
Randomly Occurring Mixed Time Delays
Issue Date2012
PublisherIEEE
Citation
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2012, v. 42 n. 2, p. 365-376 How to Cite?
AbstractThis paper is concerned with the network-based robust fault detection problem for a class of uncertain discrete-time Takagi-Sugeno fuzzy systems with stochastic mixed time delays and successive packet dropouts. The mixed time delays comprise both the multiple discrete time delays and the infinite distributed delays. A sequence of stochastic variables is introduced to govern the random occurrences of the discrete time delays, distributed time delays, and successive packet dropouts, where all the stochastic variables are mutually independent but obey the Bernoulli distribution. The main purpose of this paper is to design a fuzzy fault detection filter such that the overall fault detection dynamics is exponentially stable in the mean square and, at the same time, the error between the residual signal and the fault signal is made as small as possible. Sufficient conditions are first established via intensive stochastic analysis for the existence of the desired fuzzy fault detection filters, and then, the corresponding solvability conditions for the desired filter gains are established. In addition, the optimal performance index for the addressed robust fuzzy fault detection problem is obtained by solving an auxiliary convex optimization problem. An illustrative example is provided to show the usefulness and effectiveness of the proposed design method. © 2006 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/157182
ISSN
2014 Impact Factor: 6.22
2015 SCImago Journal Rankings: 3.921
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation of China61028008
60825303
61004067
National 973 Project of China2009CB320600
Key Laboratory of Integrated Automation for the Process Industry (Northeastern University) from the Ministry of Education of China
Engineering and Physical Sciences Research Council of the U.K.GR/S27658/01
Royal Academy of Engineering of the U.K.
University of Hong KongHKU/CRCG/200907176129
Alexander von Humboldt Foundation of Germany
Funding Information:

Manuscript received January 10, 2011; revised May 17, 2011; accepted July 26, 2011. Date of publication September 15, 2011; date of current version March 16, 2012. This work was supported in part by the National Natural Science Foundation of China under Grants 61028008, 60825303, and 61004067, by the National 973 Project of China under Grant 2009CB320600, by the Key Laboratory of Integrated Automation for the Process Industry (Northeastern University) from the Ministry of Education of China, by the Engineering and Physical Sciences Research Council of the U.K. under Grant GR/S27658/01, by a Distinguished Visiting Fellowship from the Royal Academy of Engineering of the U.K., by The University of Hong Kong under Grant HKU/CRCG/200907176129, and by the Alexander von Humboldt Foundation of Germany. This paper was recommended by Editor E. Santos, Jr.

References

 

DC FieldValueLanguage
dc.contributor.authorDong, Hen_US
dc.contributor.authorWang, Zen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorGao, Hen_US
dc.date.accessioned2012-08-08T08:45:42Z-
dc.date.available2012-08-08T08:45:42Z-
dc.date.issued2012en_US
dc.identifier.citationIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2012, v. 42 n. 2, p. 365-376en_US
dc.identifier.issn1083-4419en_US
dc.identifier.urihttp://hdl.handle.net/10722/157182-
dc.description.abstractThis paper is concerned with the network-based robust fault detection problem for a class of uncertain discrete-time Takagi-Sugeno fuzzy systems with stochastic mixed time delays and successive packet dropouts. The mixed time delays comprise both the multiple discrete time delays and the infinite distributed delays. A sequence of stochastic variables is introduced to govern the random occurrences of the discrete time delays, distributed time delays, and successive packet dropouts, where all the stochastic variables are mutually independent but obey the Bernoulli distribution. The main purpose of this paper is to design a fuzzy fault detection filter such that the overall fault detection dynamics is exponentially stable in the mean square and, at the same time, the error between the residual signal and the fault signal is made as small as possible. Sufficient conditions are first established via intensive stochastic analysis for the existence of the desired fuzzy fault detection filters, and then, the corresponding solvability conditions for the desired filter gains are established. In addition, the optimal performance index for the addressed robust fuzzy fault detection problem is obtained by solving an auxiliary convex optimization problem. An illustrative example is provided to show the usefulness and effectiveness of the proposed design method. © 2006 IEEE.en_US
dc.languageengen_US
dc.publisherIEEE-
dc.relation.ispartofIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cyberneticsen_US
dc.rightsIEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics. Copyright © IEEE-
dc.rights©2012 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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDiscrete-Time Fuzzy Systemsen_US
dc.subjectFault Detectionen_US
dc.subjectNetworked Control Systems (NCSs)en_US
dc.subjectPacket Dropoutsen_US
dc.subjectRandomly Occurring Mixed Time Delaysen_US
dc.titleFuzzy-model-based robust fault detection with stochastic mixed time delays and successive packet dropoutsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1109/TSMCB.2011.2163797en_US
dc.identifier.scopuseid_2-s2.0-84859009318en_US
dc.identifier.hkuros208805-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84859009318&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume42en_US
dc.identifier.issue2en_US
dc.identifier.spage365en_US
dc.identifier.epage376en_US
dc.identifier.isiWOS:000302097000007-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridDong, H=15727216900en_US
dc.identifier.scopusauthoridWang, Z=50263405400en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.customcontrol.immutablejt 130328-

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