Multiplicative approximation of multivariable systems using Hankel norm criterion

J. B. Matson*, J. Lam, B. D.O. Anderson, B. James

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Control 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.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Pages333-337
Number of pages5
ISBN (Print)0780302109
Publication statusPublished - 1992
EventProceedings of the 1992 American Control Conference - Chicago, IL, USA
Duration: 24 Jun 199226 Jun 1992

Publication series

NameProceedings of the American Control Conference
Volume1
ISSN (Print)0743-1619

Conference

ConferenceProceedings of the 1992 American Control Conference
CityChicago, IL, USA
Period24/06/9226/06/92

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