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Article: Robust positive real synthesis for 2D continuous systems via state and output feedback

TitleRobust positive real synthesis for 2D continuous systems via state and output feedback
Authors
Keywords2D Continuous Systems
Linear Matrix Inequality
Output Feedback
Parameter Uncertainties
Positive Realness
State Feedback
Issue Date2005
PublisherBirkhaeuser Boston. The Journal's web site is located at http://link.springer.de/link/service/journals/00034/
Citation
Circuits, Systems, And Signal Processing, 2005, v. 24 n. 2, p. 183-199 How to Cite?
AbstractThis paper considers the problem of positive real control for uncertain twodimensional (2D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm bounded in both state and measurement output equations. The purpose is the design of controllers such that the resulting closed-loop system is asymptotically stable and strictly positive real for all admissible uncertainties. A version of the positive realness of 2D continuous systems is established. Then, sufficient conditions for the solvability of the positive real control problem via state feedback and dynamic output feedback controllers, respectively, are proposed. A linear matrix inequality approach is developed to construct the desired controllers. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the proposed method. © Birkhäuser Boston (2005).
Persistent Identifierhttp://hdl.handle.net/10722/156775
ISSN
2015 Impact Factor: 1.178
2015 SCImago Journal Rankings: 0.571
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorZou, Yen_US
dc.contributor.authorLin, Zen_US
dc.contributor.authorPaszke, Wen_US
dc.date.accessioned2012-08-08T08:43:55Z-
dc.date.available2012-08-08T08:43:55Z-
dc.date.issued2005en_US
dc.identifier.citationCircuits, Systems, And Signal Processing, 2005, v. 24 n. 2, p. 183-199en_US
dc.identifier.issn0278-081Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/156775-
dc.description.abstractThis paper considers the problem of positive real control for uncertain twodimensional (2D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm bounded in both state and measurement output equations. The purpose is the design of controllers such that the resulting closed-loop system is asymptotically stable and strictly positive real for all admissible uncertainties. A version of the positive realness of 2D continuous systems is established. Then, sufficient conditions for the solvability of the positive real control problem via state feedback and dynamic output feedback controllers, respectively, are proposed. A linear matrix inequality approach is developed to construct the desired controllers. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the proposed method. © Birkhäuser Boston (2005).en_US
dc.languageengen_US
dc.publisherBirkhaeuser Boston. The Journal's web site is located at http://link.springer.de/link/service/journals/00034/en_US
dc.relation.ispartofCircuits, Systems, and Signal Processingen_US
dc.subject2D Continuous Systemsen_US
dc.subjectLinear Matrix Inequalityen_US
dc.subjectOutput Feedbacken_US
dc.subjectParameter Uncertaintiesen_US
dc.subjectPositive Realnessen_US
dc.subjectState Feedbacken_US
dc.titleRobust positive real synthesis for 2D continuous systems via state and output feedbacken_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.doi10.1007/s00034-004-0327-5en_US
dc.identifier.scopuseid_2-s2.0-22944487646en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-22944487646&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume24en_US
dc.identifier.issue2en_US
dc.identifier.spage183en_US
dc.identifier.epage199en_US
dc.identifier.isiWOS:000229860000004-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridZou, Y=7402166773en_US
dc.identifier.scopusauthoridLin, Z=7404229052en_US
dc.identifier.scopusauthoridPaszke, W=6602647840en_US

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