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Conference Paper: Positive state-bounding observer for interval positive systems under L1 performance

TitlePositive state-bounding observer for interval positive systems under L1 performance
Authors
KeywordsInterval systems
L1-induced performance
Linear Lyapunov functions
Linear programming
Positive observer
Positive systems
Issue Date2014
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331
Citation
The 33rd Chinese Control Conference (CCC 2014), Nanjing, China, 28-30 July 2014. In Chinese Control Conference, 2014, p. 4627-4272 How to Cite?
AbstractIn this paper, the positive observer problem is investigated for interval positive systems under the L1-induced performance. To estimate the state of positive systems, a pair of state-bounding positive observers is designed. A novel characterization is first proposed under which the augmented system is stable and satisfies the L1-induced performance. Necessary and sufficient conditions are then presented to design the observers. The results obtained in this paper are expressed in terms of linear programming problems, and can be easily solved by standard software. In the end, we present a numerical example to show the effectiveness of the derived design procedures. © 2014 TCCT, CAA.
Persistent Identifierhttp://hdl.handle.net/10722/217498
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChen, X-
dc.contributor.authorLam, J-
dc.date.accessioned2015-09-18T06:01:01Z-
dc.date.available2015-09-18T06:01:01Z-
dc.date.issued2014-
dc.identifier.citationThe 33rd Chinese Control Conference (CCC 2014), Nanjing, China, 28-30 July 2014. In Chinese Control Conference, 2014, p. 4627-4272-
dc.identifier.isbn978-988156384-2-
dc.identifier.issn1934-1768-
dc.identifier.urihttp://hdl.handle.net/10722/217498-
dc.description.abstractIn this paper, the positive observer problem is investigated for interval positive systems under the L1-induced performance. To estimate the state of positive systems, a pair of state-bounding positive observers is designed. A novel characterization is first proposed under which the augmented system is stable and satisfies the L1-induced performance. Necessary and sufficient conditions are then presented to design the observers. The results obtained in this paper are expressed in terms of linear programming problems, and can be easily solved by standard software. In the end, we present a numerical example to show the effectiveness of the derived design procedures. © 2014 TCCT, CAA.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331-
dc.relation.ispartofChinese Control Conference-
dc.rightsChinese Control Conference. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectInterval systems-
dc.subjectL1-induced performance-
dc.subjectLinear Lyapunov functions-
dc.subjectLinear programming-
dc.subjectPositive observer-
dc.subjectPositive systems-
dc.titlePositive state-bounding observer for interval positive systems under L1 performance-
dc.typeConference_Paper-
dc.identifier.emailLam, J: jlam@hku.hk-
dc.identifier.authorityLam, J=rp00133-
dc.description.naturepostprint-
dc.identifier.doi10.1109/ChiCC.2014.6895654-
dc.identifier.scopuseid_2-s2.0-84907942704-
dc.identifier.hkuros254424-
dc.identifier.spage4627-
dc.identifier.epage4272-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 151207-

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