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Article: On H2 model reduction of bilinear systems

TitleOn H2 model reduction of bilinear systems
Authors
Zhang, LLam, J
KeywordsBilinear Systems
Gradient Methods
Model Reduction
Optimum
Issue Date2002
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2002, v. 38 n. 2, p. 205-216 How to Cite?
DOI: http://dx.doi.org/10.1016/S0005-1098(01)00204-7
AbstractThe H2 model reduction problem for continuous-time bilinear systems is studied in this paper. By defining the H2 norm of bilinear systems in terms of the state-space matrices, the H2 model reduction error is computed via the reachability or observability gramian. Necessary conditions for the reduced order bilinear models to be H2 optimal are given. The gradient flow approach is used to obtain the solution of the H2 model reduction problem. The formulation allows certain properties of the original models to be preserved in the reduced order models. The model reduction procedure developed can also be applied to finite-dimensional linear time-invariant systems. A numerical example is employed to illustrate the effectiveness of the proposed method. © 2001 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156627
ISSN
0005-1098
2023 Impact Factor: 4.8
2023 SCImago Journal Rankings: 3.502
ISI Accession Number ID
WOS:000172760300002
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, Len_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:43:16Z-
dc.date.available2012-08-08T08:43:16Z-
dc.date.issued2002en_US
dc.identifier.citationAutomatica, 2002, v. 38 n. 2, p. 205-216en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/156627-
dc.description.abstractThe H2 model reduction problem for continuous-time bilinear systems is studied in this paper. By defining the H2 norm of bilinear systems in terms of the state-space matrices, the H2 model reduction error is computed via the reachability or observability gramian. Necessary conditions for the reduced order bilinear models to be H2 optimal are given. The gradient flow approach is used to obtain the solution of the H2 model reduction problem. The formulation allows certain properties of the original models to be preserved in the reduced order models. The model reduction procedure developed can also be applied to finite-dimensional linear time-invariant systems. A numerical example is employed to illustrate the effectiveness of the proposed method. © 2001 Elsevier Science Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_US
dc.relation.ispartofAutomaticaen_US
dc.subjectBilinear Systemsen_US
dc.subjectGradient Methodsen_US
dc.subjectModel Reductionen_US
dc.subjectOptimumen_US
dc.titleOn H2 model reduction of bilinear 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.doi10.1016/S0005-1098(01)00204-7en_US
dc.identifier.scopuseid_2-s2.0-0036466718en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036466718&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume38en_US
dc.identifier.issue2en_US
dc.identifier.spage205en_US
dc.identifier.epage216en_US
dc.identifier.isiWOS:000172760300002-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhang, L=9039499900en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.issnl0005-1098-

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