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Article: An LMI approach to design robust fault detection filter for uncertain LTI systems

TitleAn LMI approach to design robust fault detection filter for uncertain LTI systems
Authors
KeywordsFault Detection Filter
H∞ Optimization
Linear Matrix Inequality (Lmi)
Model Matching
Robustness
Issue Date2003
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2003, v. 39 n. 3, p. 543-550 How to Cite?
AbstractIn this paper, the robust fault detection filter design problem for uncertain linear time-invariant (LTI) systems with both unknown inputs and modelling errors is studied. The basic idea of our study is to use an optimal residual generator (assuming no modelling errors) as the reference residual model of the robust fault detection filter design for uncertain LTI systems with modelling errors and, based on it, to formulate the robust fault detection filter design as an H∞ model-matching problem. By using some recent results of H∞ optimization, a solution of the optimization problem is then presented via a linear matrix inequality (LMI) formulation. The main results include the development of an optimal reference residual model, the formulation of robust fault detection filter design problem, the derivation of a sufficient condition for the existence of a robust fault detection filter and a construction of it based on the LMI solution parameters, the determination of adaptive threshold for fault detection. An illustrative design example is employed to demonstrate the effectiveness of the proposed approach. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156660
ISSN
2015 Impact Factor: 3.635
2015 SCImago Journal Rankings: 4.315
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhong, Men_US
dc.contributor.authorDing, SXen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Hen_US
dc.date.accessioned2012-08-08T08:43:26Z-
dc.date.available2012-08-08T08:43:26Z-
dc.date.issued2003en_US
dc.identifier.citationAutomatica, 2003, v. 39 n. 3, p. 543-550en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/156660-
dc.description.abstractIn this paper, the robust fault detection filter design problem for uncertain linear time-invariant (LTI) systems with both unknown inputs and modelling errors is studied. The basic idea of our study is to use an optimal residual generator (assuming no modelling errors) as the reference residual model of the robust fault detection filter design for uncertain LTI systems with modelling errors and, based on it, to formulate the robust fault detection filter design as an H∞ model-matching problem. By using some recent results of H∞ optimization, a solution of the optimization problem is then presented via a linear matrix inequality (LMI) formulation. The main results include the development of an optimal reference residual model, the formulation of robust fault detection filter design problem, the derivation of a sufficient condition for the existence of a robust fault detection filter and a construction of it based on the LMI solution parameters, the determination of adaptive threshold for fault detection. An illustrative design example is employed to demonstrate the effectiveness of the proposed approach. © 2002 Elsevier Science Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_US
dc.relation.ispartofAutomaticaen_US
dc.subjectFault Detection Filteren_US
dc.subjectH∞ Optimizationen_US
dc.subjectLinear Matrix Inequality (Lmi)en_US
dc.subjectModel Matchingen_US
dc.subjectRobustnessen_US
dc.titleAn LMI approach to design robust fault detection filter for uncertain LTI systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0005-1098(02)00269-8en_US
dc.identifier.scopuseid_2-s2.0-0037363328en_US
dc.identifier.hkuros79132-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037363328&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume39en_US
dc.identifier.issue3en_US
dc.identifier.spage543en_US
dc.identifier.epage550en_US
dc.identifier.isiWOS:000181254400017-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhong, M=7102458823en_US
dc.identifier.scopusauthoridDing, SX=7401542701en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, H=8724886600en_US
dc.identifier.citeulike8292343-

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