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
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
DOIhttp://dx.doi.org/10.1109/TAC.2003.820149
ReferencesReferences in Scopus
DC Field
Value
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
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
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
Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Science and Technology