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

Titleℋ∞ and ℒ2/ℒ∞ model reduction for system input with sector nonlinearities
Authors
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
Citation
Journal Of Optimization Theory And Applications, 2005, v. 125 n. 1, p. 137-155 How to Cite?
Abstract
This 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.
Persistent Identifierhttp://hdl.handle.net/10722/156754
ISSN
2013 Impact Factor: 1.406
ISI Accession Number ID
References

 

Author Affiliations
  1. Nanjing University
  2. The University of Hong Kong
  3. Space Control and Inertial Technology Research Center
DC FieldValueLanguage
dc.contributor.authorLam, Jen_US
dc.contributor.authorGao, Hen_US
dc.contributor.authorXu, Sen_US
dc.contributor.authorWang, Cen_US
dc.date.accessioned2012-08-08T08:43:50Z-
dc.date.available2012-08-08T08:43:50Z-
dc.date.issued2005en_US
dc.identifier.citationJournal Of Optimization Theory And Applications, 2005, v. 125 n. 1, p. 137-155en_US
dc.identifier.issn0022-3239en_US
dc.identifier.urihttp://hdl.handle.net/10722/156754-
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.en_US
dc.languageengen_US
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-3239en_US
dc.relation.ispartofJournal of Optimization Theory and Applicationsen_US
dc.subjectCone Complementarity Linearizationen_US
dc.subjectInput Sector Nonlinearitiesen_US
dc.subjectLinear Matrix Inequalitiesen_US
dc.subjectModel Reductionen_US
dc.titleℋ∞ and ℒ2/ℒ∞ model reduction for system input with sector nonlinearitiesen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s10957-004-1714-6en_US
dc.identifier.scopuseid_2-s2.0-17444365816en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-17444365816&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume125en_US
dc.identifier.issue1en_US
dc.identifier.spage137en_US
dc.identifier.epage155en_US
dc.identifier.isiWOS:000228177800007-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridWang, C=8337851300en_US

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