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Article: Positive real control of two-dimensional systems: Roesser models and linear repetitive processes

TitlePositive real control of two-dimensional systems: Roesser models and linear repetitive processes
Authors
Issue Date2003
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, 2003, v. 76 n. 11, p. 1047-1058 How to Cite?
AbstractThis paper considers the problem of positive real control for two-dimensional (2-D) discrete systems described by the Roesser model and also discrete linear repetitive processes, which are another distinct sub-class of 2-D linear systems of both systems theoretic and applications interest. The purpose of this paper is to design a dynamic output feedback controller such that the resulting closed-loop system is asymptotically stable and the closed-loop system transfer function from the disturbance to the controlled output is extended strictly positive real. We first establish a version of positive realness for 2-D discrete systems described by the Roesser state space model, then a sufficient condition for the existence of the desired output feedback controllers is obtained in terms of four LMIs. When these LMIs are feasible, an explicit parameterization of the desired output feedback controllers is given. We then apply a similar approach to discrete linear repetitive processes represented in their equivalent 1-D state-space form. Finally, we provide numerical examples to demonstrate the applicability of the approach.
Persistent Identifierhttp://hdl.handle.net/10722/156687
ISSN
2015 Impact Factor: 1.88
2015 SCImago Journal Rankings: 1.494
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorLin, Zen_US
dc.contributor.authorGalkowski, Ken_US
dc.contributor.authorPaszke, Wen_US
dc.contributor.authorSulikowski, Ben_US
dc.contributor.authorRogers, Een_US
dc.contributor.authorOwens, DHen_US
dc.date.accessioned2012-08-08T08:43:32Z-
dc.date.available2012-08-08T08:43:32Z-
dc.date.issued2003en_US
dc.identifier.citationInternational Journal Of Control, 2003, v. 76 n. 11, p. 1047-1058en_US
dc.identifier.issn0020-7179en_US
dc.identifier.urihttp://hdl.handle.net/10722/156687-
dc.description.abstractThis paper considers the problem of positive real control for two-dimensional (2-D) discrete systems described by the Roesser model and also discrete linear repetitive processes, which are another distinct sub-class of 2-D linear systems of both systems theoretic and applications interest. The purpose of this paper is to design a dynamic output feedback controller such that the resulting closed-loop system is asymptotically stable and the closed-loop system transfer function from the disturbance to the controlled output is extended strictly positive real. We first establish a version of positive realness for 2-D discrete systems described by the Roesser state space model, then a sufficient condition for the existence of the desired output feedback controllers is obtained in terms of four LMIs. When these LMIs are feasible, an explicit parameterization of the desired output feedback controllers is given. We then apply a similar approach to discrete linear repetitive processes represented in their equivalent 1-D state-space form. Finally, we provide numerical examples to demonstrate the applicability of the approach.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.titlePositive real control of two-dimensional systems: Roesser models and linear repetitive processesen_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.doi10.1080/0020717031000091423en_US
dc.identifier.scopuseid_2-s2.0-0142168467en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0142168467&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume76en_US
dc.identifier.issue11en_US
dc.identifier.spage1047en_US
dc.identifier.epage1058en_US
dc.identifier.isiWOS:000183914500001-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridLin, Z=7404229052en_US
dc.identifier.scopusauthoridGalkowski, K=7003620439en_US
dc.identifier.scopusauthoridPaszke, W=6602647840en_US
dc.identifier.scopusauthoridSulikowski, B=7003747542en_US
dc.identifier.scopusauthoridRogers, E=7202060289en_US
dc.identifier.scopusauthoridOwens, DH=7401549935en_US

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