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Conference Paper: Stability-preserving model order reduction for nonlinear time delay systems

TitleStability-preserving model order reduction for nonlinear time delay systems
Authors
KeywordsModel order reduction
Nonlinear system
Time delay
Linear matrix inequality (LMI)
Issue Date2013
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 32nd Chinese Control Conference (CCC 2013), Xi'an, China, 26-28 July 2013. In Chinese Control Conference, 2013, p. 1017-1022 How to Cite?
AbstractDelay elements are needed to model physical, industrial and engineering systems as action and reaction always come with latency. In this paper, we present an algorithm to obtain the reduced-order models (ROMs) while preserving the stability of nonlinear time delay systems (TDSs), which are approximated first by the piecewise-linear TDSs. One contribution is the derivation of the input-output stability of piecewise-linear TDSs, for the first time. The other is the preservation of the input-output stability of the ROMs. The system matrices are obtained by the left projection matrix from the solution of linear matrix inequalities (LMIs) for the input-output stability test of the original piecewise-linear TDSs and the right projection matrix from matching the estimated moments. An application example then verifies the effectiveness of the proposed method.
Persistent Identifierhttp://hdl.handle.net/10722/189857
ISSN

 

DC FieldValueLanguage
dc.contributor.authorWang, Qen_US
dc.contributor.authorWong, Nen_US
dc.date.accessioned2013-09-17T15:00:57Z-
dc.date.available2013-09-17T15:00:57Z-
dc.date.issued2013en_US
dc.identifier.citationThe 32nd Chinese Control Conference (CCC 2013), Xi'an, China, 26-28 July 2013. In Chinese Control Conference, 2013, p. 1017-1022en_US
dc.identifier.issn1934-1768-
dc.identifier.urihttp://hdl.handle.net/10722/189857-
dc.description.abstractDelay elements are needed to model physical, industrial and engineering systems as action and reaction always come with latency. In this paper, we present an algorithm to obtain the reduced-order models (ROMs) while preserving the stability of nonlinear time delay systems (TDSs), which are approximated first by the piecewise-linear TDSs. One contribution is the derivation of the input-output stability of piecewise-linear TDSs, for the first time. The other is the preservation of the input-output stability of the ROMs. The system matrices are obtained by the left projection matrix from the solution of linear matrix inequalities (LMIs) for the input-output stability test of the original piecewise-linear TDSs and the right projection matrix from matching the estimated moments. An application example then verifies the effectiveness of the proposed method.-
dc.languageengen_US
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 Conferenceen_US
dc.rightsChinese Control Conference. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©2013 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.subjectModel order reduction-
dc.subjectNonlinear system-
dc.subjectTime delay-
dc.subjectLinear matrix inequality (LMI)-
dc.titleStability-preserving model order reduction for nonlinear time delay systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailWang, Q: wangqing@hku.hken_US
dc.identifier.emailWong, N: nwong@eee.hku.hken_US
dc.identifier.authorityWong, N=rp00190en_US
dc.description.naturepublished_or_final_version-
dc.identifier.hkuros222415en_US
dc.identifier.spage1017en_US
dc.identifier.epage1022en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 131030-

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