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Conference Paper: Multiplicative approximation of multivariable systems using Hankel norm criterion

TitleMultiplicative approximation of multivariable systems using Hankel norm criterion
Authors
Matson, JBLam, JAnderson, BDOJames, B
Issue Date1992
Citation
Proceedings Of The American Control Conference, 1992, v. 1, p. 333-337 How to Cite?
AbstractControl system design specifications are commonly given in terms of log-magnitude quantities (dB). This induces a multiplicative or relative error criterion for plant model reduction. Techniques from the theory of additive Hankel norm approximation and spectral factorization are synthesised to produce a multiplicative approximant of a possibly unstable or nonsquare plant. It is shown that the reduced-order model preserves the right half plane poles and zeros of the original system. Explicit state-space formulae are provided for the construction of the reduced order model and its error properties discussed.
Persistent Identifierhttp://hdl.handle.net/10722/158892
ISSN
0743-1619
2023 SCImago Journal Rankings: 0.575

 

DC FieldValueLanguage
dc.contributor.authorMatson, JBen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorAnderson, BDOen_US
dc.contributor.authorJames, Ben_US
dc.date.accessioned2012-08-08T09:04:25Z-
dc.date.available2012-08-08T09:04:25Z-
dc.date.issued1992en_US
dc.identifier.citationProceedings Of The American Control Conference, 1992, v. 1, p. 333-337en_US
dc.identifier.issn0743-1619en_US
dc.identifier.urihttp://hdl.handle.net/10722/158892-
dc.description.abstractControl system design specifications are commonly given in terms of log-magnitude quantities (dB). This induces a multiplicative or relative error criterion for plant model reduction. Techniques from the theory of additive Hankel norm approximation and spectral factorization are synthesised to produce a multiplicative approximant of a possibly unstable or nonsquare plant. It is shown that the reduced-order model preserves the right half plane poles and zeros of the original system. Explicit state-space formulae are provided for the construction of the reduced order model and its error properties discussed.en_US
dc.languageengen_US
dc.relation.ispartofProceedings of the American Control Conferenceen_US
dc.titleMultiplicative approximation of multivariable systems using Hankel norm criterionen_US
dc.typeConference_Paperen_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.scopuseid_2-s2.0-0027091886en_US
dc.identifier.volume1en_US
dc.identifier.spage333en_US
dc.identifier.epage337en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridMatson, JB=7102606939en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridAnderson, BDO=7404263205en_US
dc.identifier.scopusauthoridJames, B=7202466429en_US
dc.identifier.issnl0743-1619-

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