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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
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

 

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

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