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Article: H ∞ Filtering for Singular Systems
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TitleH ∞ Filtering for Singular Systems
 
AuthorsXu, S1
Lam, J1
Zou, Y2
 
KeywordsContinuous systems
H ∞ filtering
Linear matrix inequality
Singular systems
 
Issue Date2003
 
PublisherIEEE.
 
CitationIeee Transactions On Automatic Control, 2003, v. 48 n. 12, p. 2217-2222 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2003.820149
 
AbstractThis note considers the H ∞ filtering problem for linear continuous singular systems. The purpose is the design of a linear filter such that the resulting error system is regular, impulse-free and stable while the closed-loop transfer function from the disturbance to the filtering error output satisfies a prescribed H ∞-norm bound constraint. Without decomposing the original system matrices, a necessary and sufficient condition for the solvability of this problem is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. Finally, an illustrative example is presented to demonstrate the applicability of the proposed approach.
 
ISSN0018-9286
2013 Impact Factor: 3.167
2013 SCImago Journal Rankings: 2.992
 
DOIhttp://dx.doi.org/10.1109/TAC.2003.820149
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorXu, S
 
dc.contributor.authorLam, J
 
dc.contributor.authorZou, Y
 
dc.date.accessioned2007-10-30T06:13:30Z
 
dc.date.available2007-10-30T06:13:30Z
 
dc.date.issued2003
 
dc.description.abstractThis note considers the H ∞ filtering problem for linear continuous singular systems. The purpose is the design of a linear filter such that the resulting error system is regular, impulse-free and stable while the closed-loop transfer function from the disturbance to the filtering error output satisfies a prescribed H ∞-norm bound constraint. Without decomposing the original system matrices, a necessary and sufficient condition for the solvability of this problem is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. Finally, an illustrative example is presented to demonstrate the applicability of the proposed approach.
 
dc.description.naturepublished_or_final_version
 
dc.format.extent304873 bytes
 
dc.format.extent10566 bytes
 
dc.format.mimetypeapplication/pdf
 
dc.format.mimetypetext/plain
 
dc.identifier.citationIeee Transactions On Automatic Control, 2003, v. 48 n. 12, p. 2217-2222 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2003.820149
 
dc.identifier.doihttp://dx.doi.org/10.1109/TAC.2003.820149
 
dc.identifier.epage2222
 
dc.identifier.issn0018-9286
2013 Impact Factor: 3.167
2013 SCImago Journal Rankings: 2.992
 
dc.identifier.issue12
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-0346055404
 
dc.identifier.spage2217
 
dc.identifier.urihttp://hdl.handle.net/10722/44921
 
dc.identifier.volume48
 
dc.languageeng
 
dc.publisherIEEE.
 
dc.publisher.placeUnited States
 
dc.relation.ispartofIEEE Transactions on Automatic Control
 
dc.relation.referencesReferences in Scopus
 
dc.rights©2003 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.subjectContinuous systems
 
dc.subjectH ∞ filtering
 
dc.subjectLinear matrix inequality
 
dc.subjectSingular systems
 
dc.titleH ∞ Filtering for Singular Systems
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Science and Technology