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A Parametrization for Closed-Loop Identification of Nonlinear Systems based on Differentially Coprime Kernel Representations

Fujimoto, Kenji; Anderson, Brian; De Bruyne, Franky

Description

In this paper, we use the notion of a differentially coprime kernel representation to parametrize the set of all nonlinear plants stabilized by a given nonlinear controller using a so-called Youla parameter and to unify understanding of some stability concepts for nonlinear systems. By utilizing the differential kernel representation concept, we are able to convert a closed-loop identification problem into one of open-loop identification. The main advantage of our approach using kernel...[Show more]

dc.contributor.authorFujimoto, Kenji
dc.contributor.authorAnderson, Brian
dc.contributor.authorDe Bruyne, Franky
dc.date.accessioned2015-12-10T23:33:21Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/69257
dc.description.abstractIn this paper, we use the notion of a differentially coprime kernel representation to parametrize the set of all nonlinear plants stabilized by a given nonlinear controller using a so-called Youla parameter and to unify understanding of some stability concepts for nonlinear systems. By utilizing the differential kernel representation concept, we are able to convert a closed-loop identification problem into one of open-loop identification. The main advantage of our approach using kernel representations over fractional descriptions is that we address a larger class of nonlinear systems. The idea of a differential kernel representation allows us also to clarify the relationship between three different notions of internal stability available in the literature. The results in the paper thus provide new insights to the stability of nonlinear feedback systems.
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.subjectKeywords: Closed loop control systems; Identification (control systems); Linear control systems; Mathematical operators; Coprime factorization; Nonlinear feedback systems; Nonlinear control systems Coprime factorization; Nonlinear control system; Observers; Operators; Parametrization
dc.titleA Parametrization for Closed-Loop Identification of Nonlinear Systems based on Differentially Coprime Kernel Representations
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume37
dc.date.issued2001
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationMigratedxPub1971
local.type.statusPublished Version
local.contributor.affiliationFujimoto, Kenji, College of Engineering and Computer Science, ANU
local.contributor.affiliationAnderson, Brian, College of Engineering and Computer Science, ANU
local.contributor.affiliationDe Bruyne, Franky, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue12
local.bibliographicCitation.startpage1893
local.bibliographicCitation.lastpage1907
local.identifier.doi10.1016/S0005-1098(01)00151-0
dc.date.updated2015-12-10T11:27:35Z
local.identifier.scopusID2-s2.0-0035546390
CollectionsANU Research Publications

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