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Minimal Multirealization of MIMO Linear Systems

Su, Steven Weidong; Anderson, Brian; Brinsmead, Thomas

Description

This note explores the minimal multirealization problem, which is the determination of a minimal degree, parameter-dependent, state variable description to express a finite set of linear multivariable systems. The form of the parameter-dependent state variable description is selected as a feedback form to implement "state sharing" and "bumpless transfer," which are possible ways to improve poor transient responses for switching control. The problem is solved by finding a special kind of minimal...[Show more]

dc.contributor.authorSu, Steven Weidong
dc.contributor.authorAnderson, Brian
dc.contributor.authorBrinsmead, Thomas
dc.date.accessioned2015-12-07T22:21:01Z
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/1885/19847
dc.description.abstractThis note explores the minimal multirealization problem, which is the determination of a minimal degree, parameter-dependent, state variable description to express a finite set of linear multivariable systems. The form of the parameter-dependent state variable description is selected as a feedback form to implement "state sharing" and "bumpless transfer," which are possible ways to improve poor transient responses for switching control. The problem is solved by finding a special kind of minimal multiplier for a finite set of polynomial matrices.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.sourceIEEE Transactions on Automatic Control
dc.subjectKeywords: Adaptive control systems; Feedback control; Matrix algebra; Multivariable control systems; Polynomials; Switching systems; Linear multivariable systems; Multiple-input-multiple-output linear systems; Polynomial matrices; Switching control; System multirea Linear multivariable systems; Multiple model adaptive control; Switching systems; System multirealization
dc.titleMinimal Multirealization of MIMO Linear Systems
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume51
dc.date.issued2006
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationu3357961xPUB10
local.type.statusPublished Version
local.contributor.affiliationSu, Steven Weidong, University of Technology Sydney
local.contributor.affiliationAnderson, Brian, College of Engineering and Computer Science, ANU
local.contributor.affiliationBrinsmead, Thomas, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue4
local.bibliographicCitation.startpage690
local.bibliographicCitation.lastpage695
local.identifier.doi10.1109/TAC.2006.872770
dc.date.updated2015-12-07T08:53:06Z
local.identifier.scopusID2-s2.0-33645800587
CollectionsANU Research Publications

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