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Article: Script H sign∞ model reduction of linear systems with distributed delay

TitleScript H sign∞ model reduction of linear systems with distributed delay
Authors
Issue Date2005
PublisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA
Citation
Iee Proceedings: Control Theory And Applications, 2005, v. 152 n. 6, p. 662-674 How to Cite?
AbstractThis paper is concerned with the problem of ∞ model reduction for linear distributed-delay systems. For a given stable system containing both discrete and distributed delays in the state, our attention is focused on the construction of reduced-order model of the same structure, which guarantees the corresponding error system to be asymptotically stable and has a prescribed H∞ norm error performance. This problem is solved through a delay-dependent approach. By defining a new Lyapunov functional and making use of the Newton-Leibniz formula, a delay-dependent bounded real lemma is first established in terms of linear matrix inequalities (LMIs). Based on this performance criterion and by employing the projection lemma, sufficient conditions are formulated for the existence of admissible reduced-order models. Owing to the presence of matrix inverse constraints, these conditions are intrinsically nonconvex. An algorithm based on the sequential linear programming matrix method is proposed for verifying these conditions, which can be readily implemented by using standard numerical software. Desired reduced-order models can be constructed if these conditions are satisfied. The effectiveness of the proposed model reduction method is illustrated via a numerical example.
Persistent Identifierhttp://hdl.handle.net/10722/156850
ISSN
2008 Impact Factor: 2.106
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLam, Jen_US
dc.contributor.authorGao, Hen_US
dc.contributor.authorWang, Cen_US
dc.date.accessioned2012-08-08T08:44:15Z-
dc.date.available2012-08-08T08:44:15Z-
dc.date.issued2005en_US
dc.identifier.citationIee Proceedings: Control Theory And Applications, 2005, v. 152 n. 6, p. 662-674en_US
dc.identifier.issn1350-2379en_US
dc.identifier.urihttp://hdl.handle.net/10722/156850-
dc.description.abstractThis paper is concerned with the problem of ∞ model reduction for linear distributed-delay systems. For a given stable system containing both discrete and distributed delays in the state, our attention is focused on the construction of reduced-order model of the same structure, which guarantees the corresponding error system to be asymptotically stable and has a prescribed H∞ norm error performance. This problem is solved through a delay-dependent approach. By defining a new Lyapunov functional and making use of the Newton-Leibniz formula, a delay-dependent bounded real lemma is first established in terms of linear matrix inequalities (LMIs). Based on this performance criterion and by employing the projection lemma, sufficient conditions are formulated for the existence of admissible reduced-order models. Owing to the presence of matrix inverse constraints, these conditions are intrinsically nonconvex. An algorithm based on the sequential linear programming matrix method is proposed for verifying these conditions, which can be readily implemented by using standard numerical software. Desired reduced-order models can be constructed if these conditions are satisfied. The effectiveness of the proposed model reduction method is illustrated via a numerical example.en_US
dc.languageengen_US
dc.publisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTAen_US
dc.relation.ispartofIEE Proceedings: Control Theory and Applicationsen_US
dc.titleScript H sign∞ model reduction of linear systems with distributed delayen_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.doi10.1049/ip-cta:20045216en_US
dc.identifier.scopuseid_2-s2.0-33749565428en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33749565428&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume152en_US
dc.identifier.issue6en_US
dc.identifier.spage662en_US
dc.identifier.epage674en_US
dc.identifier.isiWOS:000233519400008-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.identifier.scopusauthoridWang, C=8337851300en_US

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