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Conference Paper: L1-induced Performance Analysis and Sparse Controller Synthesis for Interval Positive Systems

TitleL1-induced Performance Analysis and Sparse Controller Synthesis for Interval Positive Systems
Authors
KeywordsInterval uncertainties
Interval uncertainties
L1-induced performance
Positive systems
Sparse control
Issue Date2013
PublisherNewswood Ltd..
Citation
The 2013 World Congress on Engineering (WCE), London, UK., 3-5 July 2013. In Lecture Notes in Engineering and Computer Science, 2013, v. 1, p. 257-262 How to Cite?
AbstractThis paper is concerned with the design of L1- induced sparse controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and L1-induced performance of positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust state-feedback controllers are established. Moreover, the total number of all the nonzero elements of the controller gain is to be minimized, while satisfying a guaranteed level of L1-induced performance. Then, we propose an ℓ1-minimization problem to relax the ℓ0 objective function for optimization and an iterative convex optimization approach is developed to solve the conditions. Finally, an illustrative example is provided to show the effectiveness and applicability of the theoretical results.
DescriptionThe Lecture Notes in Engineering and Computer Science(LNECS) vol. entitled: World Congress on Engineering: WCE 2013
Persistent Identifierhttp://hdl.handle.net/10722/204212
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChen, Xen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorLi, Pen_US
dc.contributor.authorShu, Zen_US
dc.date.accessioned2014-09-19T21:25:13Z-
dc.date.available2014-09-19T21:25:13Z-
dc.date.issued2013en_US
dc.identifier.citationThe 2013 World Congress on Engineering (WCE), London, UK., 3-5 July 2013. In Lecture Notes in Engineering and Computer Science, 2013, v. 1, p. 257-262en_US
dc.identifier.isbn9789881925107-
dc.identifier.issn2078-0958-
dc.identifier.urihttp://hdl.handle.net/10722/204212-
dc.descriptionThe Lecture Notes in Engineering and Computer Science(LNECS) vol. entitled: World Congress on Engineering: WCE 2013-
dc.description.abstractThis paper is concerned with the design of L1- induced sparse controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and L1-induced performance of positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust state-feedback controllers are established. Moreover, the total number of all the nonzero elements of the controller gain is to be minimized, while satisfying a guaranteed level of L1-induced performance. Then, we propose an ℓ1-minimization problem to relax the ℓ0 objective function for optimization and an iterative convex optimization approach is developed to solve the conditions. Finally, an illustrative example is provided to show the effectiveness and applicability of the theoretical results.-
dc.languageengen_US
dc.publisherNewswood Ltd..-
dc.relation.ispartofLecture Notes in Engineering and Computer Scienceen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectInterval uncertainties-
dc.subjectInterval uncertainties-
dc.subjectL1-induced performance-
dc.subjectPositive systems-
dc.subjectSparse control-
dc.titleL1-induced Performance Analysis and Sparse Controller Synthesis for Interval Positive Systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailLam, J: james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturepublished_or_final_version-
dc.identifier.scopuseid=2-s2.0-84887987057-
dc.identifier.hkuros236180en_US
dc.identifier.volume1en_US
dc.identifier.spage257en_US
dc.identifier.epage262en_US
dc.publisher.placeHong Kongen_US

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