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Article: Saturated linear quadratic regulation of uncertain linear systems: Stability region estimation and controller design

TitleSaturated linear quadratic regulation of uncertain linear systems: Stability region estimation and controller design
Authors
Huang, SLam, J
Issue Date2002
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp
Citation
International Journal Of Control, 2002, v. 75 n. 2, p. 97-110 How to Cite?
DOI: http://dx.doi.org/10.1080/00207170110088276
AbstractThis paper considers the problems of estimating the stability region (domain of attraction) and controller design for uncertain linear continuous-time systems with input saturation when linear quadratic (LQ) optimal controller is used. By exploiting the structure of the LQ controller and the property of saturation functions, it is established that the estimation of stability region can be obtained by solving linear matrix inequality (LMI) problems. Moreover, an iterative LMI (ILMI) algorithm is presented to design an LQ controller such that the largest estimated stability region can be obtained. Two examples are given to compare our results with existing ones.
Persistent Identifierhttp://hdl.handle.net/10722/156652
ISSN
0020-7179
2021 Impact Factor: 2.102
2020 SCImago Journal Rankings: 0.793
ISI Accession Number ID
WOS:000173301100003
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorHuang, Sen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:43:23Z-
dc.date.available2012-08-08T08:43:23Z-
dc.date.issued2002en_US
dc.identifier.citationInternational Journal Of Control, 2002, v. 75 n. 2, p. 97-110en_US
dc.identifier.issn0020-7179en_US
dc.identifier.urihttp://hdl.handle.net/10722/156652-
dc.description.abstractThis paper considers the problems of estimating the stability region (domain of attraction) and controller design for uncertain linear continuous-time systems with input saturation when linear quadratic (LQ) optimal controller is used. By exploiting the structure of the LQ controller and the property of saturation functions, it is established that the estimation of stability region can be obtained by solving linear matrix inequality (LMI) problems. Moreover, an iterative LMI (ILMI) algorithm is presented to design an LQ controller such that the largest estimated stability region can be obtained. Two examples are given to compare our results with existing ones.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.aspen_US
dc.relation.ispartofInternational Journal of Controlen_US
dc.titleSaturated linear quadratic regulation of uncertain linear systems: Stability region estimation and controller designen_US
dc.typeArticleen_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.doi10.1080/00207170110088276en_US
dc.identifier.scopuseid_2-s2.0-0037138032en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037138032&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume75en_US
dc.identifier.issue2en_US
dc.identifier.spage97en_US
dc.identifier.epage110en_US
dc.identifier.isiWOS:000173301100003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridHuang, S=8304963900en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.issnl0020-7179-

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