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Article: Constrained H2 approximation of multiple input-output delay systems using genetic algorithm

TitleConstrained H2 approximation of multiple input-output delay systems using genetic algorithm
Authors
Issue Date2007
PublisherElsevier Inc. The Journal's web site is located at http://www.isa.org/isatransactions/
Citation
Isa Transactions, 2007, v. 46 n. 2, p. 211-221 How to Cite?
AbstractThe paper presents a constrained H2 approximation method for multiple input-output delay systems by using a genetic algorithm. The H2 error between the original and the approximate models is minimized subject to constraints on the H∞ error between them and the matching of their steady-state under step inputs. In particular, the H2 error is used as the objective (fitness) function for minimization with the best parameters of the approximate model obtained by repeating the genetic operations on the population incorporated a parameter search space expansion scheme. The effectiveness of the proposed method is demonstrated by numerical examples. It is shown that the approximate models obtained by this approach have better approximation performance in both the H2 and H∞ norms, as well as the steady-state response, than those obtained by a previous gradient-based minimization approach. © 2007 ISA.
Persistent Identifierhttp://hdl.handle.net/10722/156884
ISSN
2015 Impact Factor: 2.6
2015 SCImago Journal Rankings: 1.186
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorDu, Hen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorHuang, Ben_US
dc.date.accessioned2012-08-08T08:44:25Z-
dc.date.available2012-08-08T08:44:25Z-
dc.date.issued2007en_US
dc.identifier.citationIsa Transactions, 2007, v. 46 n. 2, p. 211-221en_US
dc.identifier.issn0019-0578en_US
dc.identifier.urihttp://hdl.handle.net/10722/156884-
dc.description.abstractThe paper presents a constrained H2 approximation method for multiple input-output delay systems by using a genetic algorithm. The H2 error between the original and the approximate models is minimized subject to constraints on the H∞ error between them and the matching of their steady-state under step inputs. In particular, the H2 error is used as the objective (fitness) function for minimization with the best parameters of the approximate model obtained by repeating the genetic operations on the population incorporated a parameter search space expansion scheme. The effectiveness of the proposed method is demonstrated by numerical examples. It is shown that the approximate models obtained by this approach have better approximation performance in both the H2 and H∞ norms, as well as the steady-state response, than those obtained by a previous gradient-based minimization approach. © 2007 ISA.en_US
dc.languageengen_US
dc.publisherElsevier Inc. The Journal's web site is located at http://www.isa.org/isatransactions/en_US
dc.relation.ispartofISA Transactionsen_US
dc.subject.meshAlgorithmsen_US
dc.subject.meshComputer Simulationen_US
dc.subject.meshModels, Geneticen_US
dc.subject.meshModels, Theoreticalen_US
dc.subject.meshNonlinear Dynamicsen_US
dc.subject.meshSignal Processing, Computer-Assisteden_US
dc.subject.meshTime Factorsen_US
dc.titleConstrained H2 approximation of multiple input-output delay systems using genetic algorithmen_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/j.isatra.2006.06.007en_US
dc.identifier.pmid17350016-
dc.identifier.scopuseid_2-s2.0-33947251236en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33947251236&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume46en_US
dc.identifier.issue2en_US
dc.identifier.spage211en_US
dc.identifier.epage221en_US
dc.identifier.isiWOS:000253661900008-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridDu, H=7201901161en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridHuang, B=11839993500en_US

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