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Article: ℋ ∞ model reduction for discrete time-delay systems: Delay-independent and dependent approaches
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Titleℋ ∞ model reduction for discrete time-delay systems: Delay-independent and dependent approaches
 
AuthorsGao, H2
Lam, J1
Wang, C2
Xu, S1
 
Issue Date2004
 
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp
 
CitationInternational Journal Of Control, 2004, v. 77 n. 4, p. 321-335 [How to Cite?]
DOI: http://dx.doi.org/10.1080/00207170410001663525
 
AbstractThis paper investigates the problem of H ∞ model reduction for linear discrete-time state-delay systems. For a given stable system, our attention is focused on the construction of reduced-order models, which guarantee the corresponding error system to be asymptotically stable and have a prescribed H ∞ error performance. Both delay-independent and dependent approaches are developed, with sufficient conditions obtained for the existence of admissible reduced-order solutions. Since these obtained conditions are not expressed as strict linear matrix inequalities (LMIs), the cone complementary linearization method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be readily solved in standard numerical software. In addition, the development of reduced-order models with special structures, such as delay-free models and zeroth-order models, is also addressed. The approximation methods presented in this paper can be further extended to cope with systems with uncertain parameters. Two numerical examples have been provided to show the effectiveness of the proposed theories.
 
ISSN0020-7179
2013 Impact Factor: 1.137
2013 SCImago Journal Rankings: 0.939
 
DOIhttp://dx.doi.org/10.1080/00207170410001663525
 
ISI Accession Number IDWOS:000220326600001
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorGao, H
 
dc.contributor.authorLam, J
 
dc.contributor.authorWang, C
 
dc.contributor.authorXu, S
 
dc.date.accessioned2012-08-08T08:43:56Z
 
dc.date.available2012-08-08T08:43:56Z
 
dc.date.issued2004
 
dc.description.abstractThis paper investigates the problem of H ∞ model reduction for linear discrete-time state-delay systems. For a given stable system, our attention is focused on the construction of reduced-order models, which guarantee the corresponding error system to be asymptotically stable and have a prescribed H ∞ error performance. Both delay-independent and dependent approaches are developed, with sufficient conditions obtained for the existence of admissible reduced-order solutions. Since these obtained conditions are not expressed as strict linear matrix inequalities (LMIs), the cone complementary linearization method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be readily solved in standard numerical software. In addition, the development of reduced-order models with special structures, such as delay-free models and zeroth-order models, is also addressed. The approximation methods presented in this paper can be further extended to cope with systems with uncertain parameters. Two numerical examples have been provided to show the effectiveness of the proposed theories.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationInternational Journal Of Control, 2004, v. 77 n. 4, p. 321-335 [How to Cite?]
DOI: http://dx.doi.org/10.1080/00207170410001663525
 
dc.identifier.doihttp://dx.doi.org/10.1080/00207170410001663525
 
dc.identifier.epage335
 
dc.identifier.isiWOS:000220326600001
 
dc.identifier.issn0020-7179
2013 Impact Factor: 1.137
2013 SCImago Journal Rankings: 0.939
 
dc.identifier.issue4
 
dc.identifier.scopuseid_2-s2.0-2342434921
 
dc.identifier.spage321
 
dc.identifier.urihttp://hdl.handle.net/10722/156776
 
dc.identifier.volume77
 
dc.languageeng
 
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp
 
dc.publisher.placeUnited Kingdom
 
dc.relation.ispartofInternational Journal of Control
 
dc.relation.referencesReferences in Scopus
 
dc.titleℋ ∞ model reduction for discrete time-delay systems: Delay-independent and dependent approaches
 
dc.typeArticle
 
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Author Affiliations
  1. Nanjing University of Science and Technology
  2. Harbin Institute of Technology