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Article: Passivity enforcement for descriptor systems via matrix pencil perturbation

TitlePassivity enforcement for descriptor systems via matrix pencil perturbation
Authors
KeywordsDescriptor System
Immittance Representation
Passivity Enforcement
Regular System
Scattering Representation
Symmetric Systems
Issue Date2012
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43
Citation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, v. 31 n. 4, p. 532-545 How to Cite?
AbstractPassivity is an important property of circuits and systems to guarantee stable global simulation. Nonetheless, nonpassive models may result from passive underlying structures due to numerical or measurement error/inaccuracy. A postprocessing passivity enforcement algorithm is therefore desirable to perturb the model to be passive under a controlled error. However, previous literature only reports such passivity enforcement algorithms for pole-residue models and regular systems (RSs). In this paper, passivity enforcement algorithms for descriptor systems (DSs, a superset of RSs) with possibly singular direct term (specifically, D+D T or I-DD T) are proposed. The proposed algorithms cover all kinds of state-space models (RSs or DSs, with direct terms being singular or nonsingular, in the immittance or scattering representation) and thus have a much wider application scope than existing algorithms. The passivity enforcement is reduced to two standard optimization problems that can be solved efficiently. The objective functions in both optimization problems are the error functions, hence perturbed models with adequate accuracy can be obtained. Numerical examples then verify the efficiency and robustness of the proposed algorithms. © 2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/155743
ISSN
2014 Impact Factor: 1.003
2014 SCImago Journal Rankings: 1.045
ISI Accession Number ID
Funding AgencyGrant Number
Hong Kong Research Grants Council718509E
Funding Information:

Manuscript received March 7, 2011; revised August 22, 2011; accepted October 18, 2011. Date of current version March 21, 2012. This work was supported in part by the Hong Kong Research Grants Council, under the General Research Fund 718509E. This paper was recommended by Associate Editor J. R. Phillips.

References

 

DC FieldValueLanguage
dc.contributor.authorWang, Yen_US
dc.contributor.authorZhang, Zen_US
dc.contributor.authorKoh, CKen_US
dc.contributor.authorShi, Gen_US
dc.contributor.authorPang, GKHen_US
dc.contributor.authorWong, Nen_US
dc.date.accessioned2012-08-08T08:35:08Z-
dc.date.available2012-08-08T08:35:08Z-
dc.date.issued2012en_US
dc.identifier.citationIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, v. 31 n. 4, p. 532-545en_US
dc.identifier.issn0278-0070en_US
dc.identifier.urihttp://hdl.handle.net/10722/155743-
dc.description.abstractPassivity is an important property of circuits and systems to guarantee stable global simulation. Nonetheless, nonpassive models may result from passive underlying structures due to numerical or measurement error/inaccuracy. A postprocessing passivity enforcement algorithm is therefore desirable to perturb the model to be passive under a controlled error. However, previous literature only reports such passivity enforcement algorithms for pole-residue models and regular systems (RSs). In this paper, passivity enforcement algorithms for descriptor systems (DSs, a superset of RSs) with possibly singular direct term (specifically, D+D T or I-DD T) are proposed. The proposed algorithms cover all kinds of state-space models (RSs or DSs, with direct terms being singular or nonsingular, in the immittance or scattering representation) and thus have a much wider application scope than existing algorithms. The passivity enforcement is reduced to two standard optimization problems that can be solved efficiently. The objective functions in both optimization problems are the error functions, hence perturbed models with adequate accuracy can be obtained. Numerical examples then verify the efficiency and robustness of the proposed algorithms. © 2012 IEEE.en_US
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43-
dc.relation.ispartofIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systemsen_US
dc.rightsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 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.subjectDescriptor Systemen_US
dc.subjectImmittance Representationen_US
dc.subjectPassivity Enforcementen_US
dc.subjectRegular Systemen_US
dc.subjectScattering Representationen_US
dc.subjectSymmetric Systemsen_US
dc.titlePassivity enforcement for descriptor systems via matrix pencil perturbationen_US
dc.typeArticleen_US
dc.identifier.emailPang, GKH:gpang@eee.hku.hken_US
dc.identifier.authorityPang, GKH=rp00162en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1109/TCAD.2011.2174638en_US
dc.identifier.scopuseid_2-s2.0-84859077286en_US
dc.identifier.hkuros209037-
dc.identifier.hkuros210678-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84859077286&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume31en_US
dc.identifier.issue4en_US
dc.identifier.spage532en_US
dc.identifier.epage545en_US
dc.identifier.isiWOS:000302177200007-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWang, Y=55147339700en_US
dc.identifier.scopusauthoridZhang, Z=55149178300en_US
dc.identifier.scopusauthoridKoh, CK=55151249600en_US
dc.identifier.scopusauthoridShi, G=55147003300en_US
dc.identifier.scopusauthoridPang, GKH=7103393283en_US
dc.identifier.scopusauthoridWong, N=55149428600en_US
dc.customcontrol.immutablejt 130322-

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