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Article: Hankel norm approximation of linear systems with time-varying delay: Continuous and discrete cases

TitleHankel norm approximation of linear systems with time-varying delay: Continuous and discrete cases
Authors
Issue Date2004
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, 2004, v. 77 n. 17, p. 1503-1520 How to Cite?
AbstractThis paper investigates the problem of Hankel norm model reduction for linear systems with time-varying delay in the state. For a given stable system, our attention is focused on the construction of reduced-order model, which guarantees the corresponding error system to be asymptotically stable and has a specified Hankel norm error performance. Two different approaches are proposed to solve this problem. One casts the model reduction into a convex optimization problem by using a linearization procedure, and the other is based on the cone complementarity linearization idea, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints. Both continuous and discrete time cases are considered. A numerical example is provided to show the effectiveness of the proposed theory.
Persistent Identifierhttp://hdl.handle.net/10722/156726
ISSN
2014 Impact Factor: 1.654
2013 SCImago Journal Rankings: 0.939
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGao, Hen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Cen_US
dc.contributor.authorWang, Qen_US
dc.date.accessioned2012-08-08T08:43:43Z-
dc.date.available2012-08-08T08:43:43Z-
dc.date.issued2004en_US
dc.identifier.citationInternational Journal Of Control, 2004, v. 77 n. 17, p. 1503-1520en_US
dc.identifier.issn0020-7179en_US
dc.identifier.urihttp://hdl.handle.net/10722/156726-
dc.description.abstractThis paper investigates the problem of Hankel norm model reduction for linear systems with time-varying delay in the state. For a given stable system, our attention is focused on the construction of reduced-order model, which guarantees the corresponding error system to be asymptotically stable and has a specified Hankel norm error performance. Two different approaches are proposed to solve this problem. One casts the model reduction into a convex optimization problem by using a linearization procedure, and the other is based on the cone complementarity linearization idea, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints. Both continuous and discrete time cases are considered. A numerical example is provided to show the effectiveness of the proposed theory.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.titleHankel norm approximation of linear systems with time-varying delay: Continuous and discrete casesen_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.doi10.1080/00207170412331323641en_US
dc.identifier.scopuseid_2-s2.0-11144292055en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-11144292055&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume77en_US
dc.identifier.issue17en_US
dc.identifier.spage1503en_US
dc.identifier.epage1520en_US
dc.identifier.isiWOS:000226138400006-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, C=8337851300en_US
dc.identifier.scopusauthoridWang, Q=7406912110en_US
dc.identifier.citeulike85036-

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