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Article: Energy-to-peak model reduction for 2-D discrete systems in Fornasini-Marchesini form

TitleEnergy-to-peak model reduction for 2-D discrete systems in Fornasini-Marchesini form
Authors
KeywordsEnergy-To-Peak Gain
Fornasini-Marchesini Second Model
Model Reduction
Issue Date2006
Citation
European Journal Of Control, 2006, v. 12 n. 4, p. 420-430 How to Cite?
AbstractIn this paper, the problem of constructing a reduced-order model to approximate a Fornasini-Marchesini (FM) second model is considered such that the energy-to-peak gain of the error model between the original FM second model and reduced-order one is less than a prescribed scalar. First, a sufficient condition to characterize the bound of the energy-to-peak gain of FM second models is presented in terms of linear matrix inequalities (LMIs). Then, a parameterization of reduced-order models that solve the energy-to-peak model reduction problem is given. Such a problem is formulated in the form of LMIs with inverse constraint. An efficient algorithm is derived to obtain the reduced-order models. Finally, an example is employed to demonstrate the effectiveness of the model reduction algorithm. © 2006 EUCA.
Persistent Identifierhttp://hdl.handle.net/10722/157013
ISSN
2015 Impact Factor: 1.342
2015 SCImago Journal Rankings: 1.003
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Qen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorGao, Hen_US
dc.contributor.authorWang, Qen_US
dc.date.accessioned2012-08-08T08:44:57Z-
dc.date.available2012-08-08T08:44:57Z-
dc.date.issued2006en_US
dc.identifier.citationEuropean Journal Of Control, 2006, v. 12 n. 4, p. 420-430en_US
dc.identifier.issn0947-3580en_US
dc.identifier.urihttp://hdl.handle.net/10722/157013-
dc.description.abstractIn this paper, the problem of constructing a reduced-order model to approximate a Fornasini-Marchesini (FM) second model is considered such that the energy-to-peak gain of the error model between the original FM second model and reduced-order one is less than a prescribed scalar. First, a sufficient condition to characterize the bound of the energy-to-peak gain of FM second models is presented in terms of linear matrix inequalities (LMIs). Then, a parameterization of reduced-order models that solve the energy-to-peak model reduction problem is given. Such a problem is formulated in the form of LMIs with inverse constraint. An efficient algorithm is derived to obtain the reduced-order models. Finally, an example is employed to demonstrate the effectiveness of the model reduction algorithm. © 2006 EUCA.en_US
dc.languageengen_US
dc.relation.ispartofEuropean Journal of Controlen_US
dc.subjectEnergy-To-Peak Gainen_US
dc.subjectFornasini-Marchesini Second Modelen_US
dc.subjectModel Reductionen_US
dc.titleEnergy-to-peak model reduction for 2-D discrete systems in Fornasini-Marchesini formen_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.doi10.3166/ejc.12.420-430en_US
dc.identifier.scopuseid_2-s2.0-67650398530en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67650398530&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume12en_US
dc.identifier.issue4en_US
dc.identifier.spage420en_US
dc.identifier.epage430en_US
dc.identifier.isiWOS:000243293300015-
dc.publisher.placeFranceen_US
dc.identifier.scopusauthoridWang, Q=9335766700en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.identifier.scopusauthoridWang, Q=37087820600en_US

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