Article: ℋ∞ and ℒ2/ℒ∞ model reduction for system input with sector nonlinearities

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Titleℋ∞ and ℒ2/ℒ∞ model reduction for system input with sector nonlinearities
AuthorsLam, J2
Gao, H3
Xu, S1
Wang, C3
KeywordsCone Complementarity Linearization
Input Sector Nonlinearities
Linear Matrix Inequalities
Model Reduction
Issue Date2005
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-3239
CitationJournal Of Optimization Theory And Applications, 2005, v. 125 n. 1, p. 137-155 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s10957-004-1714-6
AbstractThis paper investigates the problems of model reduction for linear continuous-time systems with input sector nonlinearities. Two objectives (ℋ∞ and ℒ2/ℒ∞) are employed to evaluate the approximation performance and the problems are solved by using linear matrix inequality (LMI) techniques, with sufficient conditions obtained for the existence of desired reduced-order models. Since some matrix inequality constraints are involved in these conditions, the cone complementarity linearization idea is utilized to cast the nonconvex feasibility problem into a sequential minimization problem subject to LMI constraints. A numerical example is presented to show the effectiveness of the proposed theories. © 2005 Springer Science+Business Media, Inc.
ISSN0022-3239
2011 Impact Factor: 1.062
2011 SCImago Journal Rankings: 0.053
DOIhttp://dx.doi.org/10.1007/s10957-004-1714-6
ISI Accession Number IDWOS:000228177800007
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorLam, J
dc.contributor.authorGao, H
dc.contributor.authorXu, S
dc.contributor.authorWang, C
dc.date.accessioned2012-08-08T08:43:50Z
dc.date.available2012-08-08T08:43:50Z
dc.date.issued2005
dc.description.abstractThis paper investigates the problems of model reduction for linear continuous-time systems with input sector nonlinearities. Two objectives (ℋ∞ and ℒ2/ℒ∞) are employed to evaluate the approximation performance and the problems are solved by using linear matrix inequality (LMI) techniques, with sufficient conditions obtained for the existence of desired reduced-order models. Since some matrix inequality constraints are involved in these conditions, the cone complementarity linearization idea is utilized to cast the nonconvex feasibility problem into a sequential minimization problem subject to LMI constraints. A numerical example is presented to show the effectiveness of the proposed theories. © 2005 Springer Science+Business Media, Inc.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationJournal Of Optimization Theory And Applications, 2005, v. 125 n. 1, p. 137-155 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s10957-004-1714-6
dc.identifier.doihttp://dx.doi.org/10.1007/s10957-004-1714-6
dc.identifier.epage155
dc.identifier.isiWOS:000228177800007
dc.identifier.issn0022-3239
2011 Impact Factor: 1.062
2011 SCImago Journal Rankings: 0.053
dc.identifier.issue1
dc.identifier.scopuseid_2-s2.0-17444365816
dc.identifier.spage137
dc.identifier.urihttp://hdl.handle.net/10722/156754
dc.identifier.volume125
dc.languageeng
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-3239
dc.publisher.placeUnited States
dc.relation.ispartofJournal of Optimization Theory and Applications
dc.relation.referencesReferences in Scopus
dc.subjectCone Complementarity Linearization
dc.subjectInput Sector Nonlinearities
dc.subjectLinear Matrix Inequalities
dc.subjectModel Reduction
dc.titleℋ∞ and ℒ2/ℒ∞ model reduction for system input with sector nonlinearities
dc.typeArticle
Author Affiliations
  1. Nanjing University
  2. The University of Hong Kong
  3. Space Control and Inertial Technology Research Center