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Article: Robust H∞ filtering for uncertain 2-D continuous systems

TitleRobust H∞ filtering for uncertain 2-D continuous systems
Authors
Keywords2-D continuous systems
H∞ filtering
Linear matrix inequality
Uncertain systems
Issue Date2005
PublisherIEEE.
Citation
Ieee Transactions On Signal Processing, 2005, v. 53 n. 5, p. 1731-1738 How to Cite?
AbstractThis paper considers the problem of robust H∞ filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The purpose is the design of a 2-D continuous filter such that for all admissible uncertainties, the error system is asymptotically stable, and the H∞ norm of the transfer function, from the noise signal to the estimation error, is below a prespecified level. A sufficient condition for the existence of such filters is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H∞ filter is given. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method. © 2005 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/43013
ISSN
2015 Impact Factor: 2.624
2015 SCImago Journal Rankings: 2.004
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorZou, Yen_HK
dc.contributor.authorLin, Zen_HK
dc.contributor.authorPaszke, Wen_HK
dc.date.accessioned2007-03-23T04:36:54Z-
dc.date.available2007-03-23T04:36:54Z-
dc.date.issued2005en_HK
dc.identifier.citationIeee Transactions On Signal Processing, 2005, v. 53 n. 5, p. 1731-1738en_HK
dc.identifier.issn1053-587Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/43013-
dc.description.abstractThis paper considers the problem of robust H∞ filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The purpose is the design of a 2-D continuous filter such that for all admissible uncertainties, the error system is asymptotically stable, and the H∞ norm of the transfer function, from the noise signal to the estimation error, is below a prespecified level. A sufficient condition for the existence of such filters is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H∞ filter is given. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method. © 2005 IEEE.en_HK
dc.format.extent790195 bytes-
dc.format.extent35328 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Signal Processingen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
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.subject2-D continuous systemsen_HK
dc.subjectH∞ filteringen_HK
dc.subjectLinear matrix inequalityen_HK
dc.subjectUncertain systemsen_HK
dc.titleRobust H∞ filtering for uncertain 2-D continuous systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1053-587X&volume=53&issue=5&spage=1731&epage=1738&date=2005&atitle=Robust+H∞+filtering+for+Uncertain2-D+continuous+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.2005.845464en_HK
dc.identifier.scopuseid_2-s2.0-18844441816en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-18844441816&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume53en_HK
dc.identifier.issue5en_HK
dc.identifier.spage1731en_HK
dc.identifier.epage1738en_HK
dc.identifier.isiWOS:000228403500011-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridXu, S=7404438591en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridZou, Y=7402166773en_HK
dc.identifier.scopusauthoridLin, Z=7404229052en_HK
dc.identifier.scopusauthoridPaszke, W=6602647840en_HK

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