Article: H ∞ model reduction for singular systems: continuous-time case

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TitleH ∞ model reduction for singular systems: continuous-time case
AuthorsXu, S1
Lam, J1
Liu, W2
Zhang, Q3
Issue Date2003
PublisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA
CitationIee Proceedings: Control Theory And Applications, 2003, v. 150 n. 6, p. 637-641 [How to Cite?]
DOI: http://dx.doi.org/10.1049/ip-cta:20030815
AbstractThe problem of H ∞ model reduction for linear singular systems in the continuous-time case is considered. The objective is to find a reduced-order system such that the associated error system is admissible and satisfies a prescribed H ∞ norm bound constraint. Necessary and sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. An explicit parametrisation of all reduced-order systems is presented for the case when the related LMIs are feasible. A simple LMI condition without rank constraint is derived for the zeroth-order H ∞ approximation problem. All these results are obtained without decomposing the original system, which makes the design procedure simple and direct.
ISSN1350-2379
DOIhttp://dx.doi.org/10.1049/ip-cta:20030815
ISI Accession Number IDWOS:000187991300009
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorXu, S
dc.contributor.authorLam, J
dc.contributor.authorLiu, W
dc.contributor.authorZhang, Q
dc.date.accessioned2012-08-08T08:43:37Z
dc.date.available2012-08-08T08:43:37Z
dc.date.issued2003
dc.description.abstractThe problem of H ∞ model reduction for linear singular systems in the continuous-time case is considered. The objective is to find a reduced-order system such that the associated error system is admissible and satisfies a prescribed H ∞ norm bound constraint. Necessary and sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. An explicit parametrisation of all reduced-order systems is presented for the case when the related LMIs are feasible. A simple LMI condition without rank constraint is derived for the zeroth-order H ∞ approximation problem. All these results are obtained without decomposing the original system, which makes the design procedure simple and direct.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationIee Proceedings: Control Theory And Applications, 2003, v. 150 n. 6, p. 637-641 [How to Cite?]
DOI: http://dx.doi.org/10.1049/ip-cta:20030815
dc.identifier.doihttp://dx.doi.org/10.1049/ip-cta:20030815
dc.identifier.epage641
dc.identifier.isiWOS:000187991300009
dc.identifier.issn1350-2379
dc.identifier.issue6
dc.identifier.scopuseid_2-s2.0-0347024339
dc.identifier.spage637
dc.identifier.urihttp://hdl.handle.net/10722/156708
dc.identifier.volume150
dc.languageeng
dc.publisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA
dc.publisher.placeUnited Kingdom
dc.relation.ispartofIEE Proceedings: Control Theory and Applications
dc.relation.referencesReferences in Scopus
dc.titleH ∞ model reduction for singular systems: continuous-time case
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong
  2. Curtin University of Technology, Perth
  3. Northeastern University China