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Article: New approach to mixed H2/H∞ filtering for polytopic discrete-time systems

TitleNew approach to mixed H2/H∞ filtering for polytopic discrete-time systems
Authors
KeywordsDiscrete-time systems
Linear matrix inequality
Mixed H2/H∞ filtering
Polytopic systems
Issue Date2005
PublisherIEEE.
Citation
Ieee Transactions On Signal Processing, 2005, v. 53 n. 8, p. 3183-3192 How to Cite?
AbstractThis paper revisits the problem of mixed H2/H∞ filtering for polytopic discrete-time systems. Differing from previous results in the quadratic framework, the filter design makes full use of the parameter-dependent stability idea: Not only is the filter dependent of the parameters (which are assumed to reside in a polytope and be measurable online), but in addition, the Lyapunov matrices are different for the entire polytope domain, as well as for different channels with respect to the mixed performances. These ideas are realized by introducing additional slack variables to the well-established performance conditions and by employing new bounding techniques, which results in a much less conservative filter design method. A numerical example is presented to illustrate the effectiveness and advantage of the developed filter design method. © 2005 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/44926
ISSN
2015 Impact Factor: 2.624
2015 SCImago Journal Rankings: 2.004
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGao, Hen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorXie, Len_HK
dc.contributor.authorWang, Cen_HK
dc.date.accessioned2007-10-30T06:13:37Z-
dc.date.available2007-10-30T06:13:37Z-
dc.date.issued2005en_HK
dc.identifier.citationIeee Transactions On Signal Processing, 2005, v. 53 n. 8, p. 3183-3192en_HK
dc.identifier.issn1053-587Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/44926-
dc.description.abstractThis paper revisits the problem of mixed H2/H∞ filtering for polytopic discrete-time systems. Differing from previous results in the quadratic framework, the filter design makes full use of the parameter-dependent stability idea: Not only is the filter dependent of the parameters (which are assumed to reside in a polytope and be measurable online), but in addition, the Lyapunov matrices are different for the entire polytope domain, as well as for different channels with respect to the mixed performances. These ideas are realized by introducing additional slack variables to the well-established performance conditions and by employing new bounding techniques, which results in a much less conservative filter design method. A numerical example is presented to illustrate the effectiveness and advantage of the developed filter design method. © 2005 IEEE.en_HK
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dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
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dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Signal Processingen_HK
dc.rights©2005 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.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDiscrete-time systemsen_HK
dc.subjectLinear matrix inequalityen_HK
dc.subjectMixed H2/H∞ filteringen_HK
dc.subjectPolytopic systemsen_HK
dc.titleNew approach to mixed H2/H∞ filtering for polytopic discrete-time systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1053-587X&volume=53&issue=8 pt 2&spage=3183&epage=3192&date=2005&atitle=New+approach+to+mixed+H2/H∞+filtering+for+polytopic+discrete-time+systemsen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TSP.2005.851116en_HK
dc.identifier.scopuseid_2-s2.0-25444487015en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-25444487015&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume53en_HK
dc.identifier.issue8en_HK
dc.identifier.spage3183en_HK
dc.identifier.epage3192en_HK
dc.identifier.isiWOS:000230652900020-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridGao, H=7402971422en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridXie, L=35087158600en_HK
dc.identifier.scopusauthoridWang, C=8337851300en_HK

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