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Conference Paper: Controller synthesis for positive systems under ℓ 1-induced performance

TitleController synthesis for positive systems under ℓ 1-induced performance
Authors
Keywordsℓ 1-induced performance
Iterative algorithm
Linear lyapunov functions
Positive systems
Analytical method
Issue Date2012
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002339
Citation
The 24th Chinese Control and Decision Conference (CCDC 2012), Taiyuan, China, 23-25 May 2012. In 24th CCDC Proceedings, 2012, p. 92-97 How to Cite?
AbstractIn this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We first present an analytical method to compute the exact value of the ℓ 1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed ℓ 1-induced performance. Based on the characterization, a necessary and sufficient condition for the existence of desired controllers is presented, and an iterative linear matrix inequality approach is developed to solve the design condition. Finally, a numerical example is given to illustrate the effectiveness of the proposed theoretical results. © 2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/166896
ISBN

 

DC FieldValueLanguage
dc.contributor.authorChen, Xen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorLi, Pen_US
dc.contributor.authorShu, Zen_US
dc.date.accessioned2012-09-21T01:43:29Z-
dc.date.available2012-09-21T01:43:29Z-
dc.date.issued2012en_US
dc.identifier.citationThe 24th Chinese Control and Decision Conference (CCDC 2012), Taiyuan, China, 23-25 May 2012. In 24th CCDC Proceedings, 2012, p. 92-97en_US
dc.identifier.isbn978-1-4577-2074-1-
dc.identifier.urihttp://hdl.handle.net/10722/166896-
dc.description.abstractIn this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We first present an analytical method to compute the exact value of the ℓ 1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed ℓ 1-induced performance. Based on the characterization, a necessary and sufficient condition for the existence of desired controllers is presented, and an iterative linear matrix inequality approach is developed to solve the design condition. Finally, a numerical example is given to illustrate the effectiveness of the proposed theoretical results. © 2012 IEEE.-
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002339-
dc.relation.ispartofChinese Control and Decision Conference Proceedingsen_US
dc.rightsChinese Control and Decision Conference Proceedings. Copyright © IEEE.-
dc.rights©2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectℓ 1-induced performance-
dc.subjectIterative algorithm-
dc.subjectLinear lyapunov functions-
dc.subjectPositive systems-
dc.subjectAnalytical method-
dc.titleController synthesis for positive systems under ℓ 1-induced performanceen_US
dc.typeConference_Paperen_US
dc.identifier.emailChen, X: xmingchen@hku.hken_US
dc.identifier.emailLam, J: james.lam@hku.hk-
dc.identifier.emailLi, P: pinglime@hku.hk-
dc.identifier.emailShu, Z: z.shu@soton.ac.uk-
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CCDC.2012.6244014-
dc.identifier.scopuseid_2-s2.0-84866705207-
dc.identifier.hkuros208817en_US
dc.identifier.spage92en_US
dc.identifier.epage97en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 130510-

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