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A converse to the deterministic separation principle

Trumpf, Jochen; Trentelman, Harry L.

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In the classical theory of finite-dimensional linear time-invariant systems in state space form the term deterministic separation principle refers to the observation that a stabilizing output feedback controller can be constructed by first constructing an asymptotic state observer that is then coupled to a stabilizing state feedback controller. In this paper we discuss the following converse problem: Can every stabilizing output feedback controller be realized as interconnection of an...[Show more]

dc.contributor.authorTrumpf, Jochen
dc.contributor.authorTrentelman, Harry L.
dc.date.accessioned2021-04-27T22:50:11Z
dc.identifier.issn0167-6911
dc.identifier.urihttp://hdl.handle.net/1885/231048
dc.description.abstractIn the classical theory of finite-dimensional linear time-invariant systems in state space form the term deterministic separation principle refers to the observation that a stabilizing output feedback controller can be constructed by first constructing an asymptotic state observer that is then coupled to a stabilizing state feedback controller. In this paper we discuss the following converse problem: Can every stabilizing output feedback controller be realized as interconnection of an asymptotic state observer and a stabilizing state feedback controller? We will provide an affirmative answer to this question (modulo a number of technicalities) in a behavioral setting and with the help of rational representations.
dc.description.sponsorshipThis work was supported in part by the Australian Research Council through the ARC Discovery Project DP120100316 Geometric observer theory for mechanical control systems.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherElsevier
dc.rights© 2016 Elsevier B.V
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceSystems and Control Letters
dc.subjectSeparation principle
dc.subjectOutput feedback
dc.subjectLinear systems
dc.subjectBehavioral approach
dc.titleA converse to the deterministic separation principle
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume101
dc.date.issued2017
local.identifier.absfor090600 - ELECTRICAL AND ELECTRONIC ENGINEERING
local.identifier.ariespublicationU3488905xPUB15703
local.publisher.urlhttps://www.elsevier.com/
local.type.statusAccepted Version
local.contributor.affiliationTrumpf, Jochen, College of Engineering and Computer Science, ANU
local.contributor.affiliationTrentelman, Harry L, University of Groningen
dc.relationhttp://purl.org/au-research/grants/arc/DP120100316
local.bibliographicCitation.startpage2
local.bibliographicCitation.lastpage9
local.identifier.doi10.1016/j.sysconle.2016.02.021
dc.date.updated2020-11-23T10:04:57Z
local.identifier.scopusID2-s2.0-84962269660
local.identifier.thomsonID000396962700002
dcterms.accessRightsOpen Access
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/28963..."The Accepted Version can be archived in an Institutional Repository. 24 Months. CC BY-NC-ND." from SHERPA/RoMEO site (as at 10/05/2021).
dc.rights.licenseCC BY-NC-ND
CollectionsANU Research Publications

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