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Article: Optimal weighted L2 model reduction of delay systems

TitleOptimal weighted L2 model reduction of delay systems
Authors
Issue Date1999
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp
Citation
International Journal Of Control, 1999, v. 72 n. 1, p. 39-48 How to Cite?
AbstractA model reduction method for stable delay systems under L2 optimality is introduced in this paper. The reduced models may take the form of either a stable finite dimensional system or a delay system with a reduced-order finite dimensional part. The two cases are studied under a unified framework. Contrary to many existing algorithms, the formulation is entirely given in terms of state-space matrices. The Routh canonical realization is used to parametrize the stable reduced models. The parameters which form the reduced order system are obtained by minimizing the weighted L2 norm of the approximation error through an unconstrained gradient-based minimization procedure. Numerical examples are used to illustrate the effectiveness of the proposed method. © 1999 Taylor & Francis Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/156511
ISSN
2015 Impact Factor: 1.88
2015 SCImago Journal Rankings: 1.494
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, Len_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:42:45Z-
dc.date.available2012-08-08T08:42:45Z-
dc.date.issued1999en_US
dc.identifier.citationInternational Journal Of Control, 1999, v. 72 n. 1, p. 39-48en_US
dc.identifier.issn0020-7179en_US
dc.identifier.urihttp://hdl.handle.net/10722/156511-
dc.description.abstractA model reduction method for stable delay systems under L2 optimality is introduced in this paper. The reduced models may take the form of either a stable finite dimensional system or a delay system with a reduced-order finite dimensional part. The two cases are studied under a unified framework. Contrary to many existing algorithms, the formulation is entirely given in terms of state-space matrices. The Routh canonical realization is used to parametrize the stable reduced models. The parameters which form the reduced order system are obtained by minimizing the weighted L2 norm of the approximation error through an unconstrained gradient-based minimization procedure. Numerical examples are used to illustrate the effectiveness of the proposed method. © 1999 Taylor & Francis Ltd.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.aspen_US
dc.relation.ispartofInternational Journal of Controlen_US
dc.titleOptimal weighted L2 model reduction of delay systemsen_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.scopuseid_2-s2.0-0032762296en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032762296&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume72en_US
dc.identifier.issue1en_US
dc.identifier.spage39en_US
dc.identifier.epage48en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhang, L=9039499900en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

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