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Conference Paper: A moment-matching scheme for the passivity-preserving model order reduction of indefinite descriptor systems with possible polynomial parts

TitleA moment-matching scheme for the passivity-preserving model order reduction of indefinite descriptor systems with possible polynomial parts
Authors
KeywordsBalanced truncation
Descriptor systems
Generalized algebraic riccati equations
Model order reduction
Moment-matching
Issue Date2011
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000194
Citation
The 16th Asia and South Pacific Design Automation Conference (ASP-DAC 2011), Yokohama, Japan, 25-28 January 2011. In Proceedings of the 16th ASP-DAC, 2011, p. 49-54, paper 1C-1 How to Cite?
Abstract
Passivity-preserving model order reduction (MOR) of descriptor systems (DSs) is highly desired in the simulation of VLSI interconnects and on-chip passives. One popular method is PRIMA, a Krylov-subspace projection approach which preserves the passivity of positive semidefinite (PSD) structured DSs. However, system passivity is not guaranteed by PRIMA when the system is indefinite. Furthermore, the possible polynomial parts of singular systems are normally not captured. For indefinite DSs, positive-real balanced truncation (PRBT) can generate passive reduced-order models (ROMs), whose main bottleneck lies in solving the dual expensive generalized algebraic Riccati equations (GAREs). This paper presents a novel moment-matching MORfor indefinite DSs, which preserves both the system passivity and, if present, also the improper polynomial part. This method only requires solving one GARE, therefore it is cheaper than existing PRBT schemes. On the other hand, the proposed algorithm is capable of preserving the passivity of indefinite DSs, which is not guaranteed by traditional moment-matching MORs. Examples are finally presented showing that our method is superior to PRIMA in terms of accuracy. ©2011 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/140206
ISBN
References

 

Author Affiliations
  1. Massachusetts Institute of Technology
  2. The University of Hong Kong
DC FieldValueLanguage
dc.contributor.authorZhang, Zen_HK
dc.contributor.authorWang, Qen_HK
dc.contributor.authorWong, Nen_HK
dc.contributor.authorDaniel, Len_HK
dc.date.accessioned2011-09-23T06:08:48Z-
dc.date.available2011-09-23T06:08:48Z-
dc.date.issued2011en_HK
dc.identifier.citationThe 16th Asia and South Pacific Design Automation Conference (ASP-DAC 2011), Yokohama, Japan, 25-28 January 2011. In Proceedings of the 16th ASP-DAC, 2011, p. 49-54, paper 1C-1en_HK
dc.identifier.isbn978-1-4244-7516-2-
dc.identifier.urihttp://hdl.handle.net/10722/140206-
dc.description.abstractPassivity-preserving model order reduction (MOR) of descriptor systems (DSs) is highly desired in the simulation of VLSI interconnects and on-chip passives. One popular method is PRIMA, a Krylov-subspace projection approach which preserves the passivity of positive semidefinite (PSD) structured DSs. However, system passivity is not guaranteed by PRIMA when the system is indefinite. Furthermore, the possible polynomial parts of singular systems are normally not captured. For indefinite DSs, positive-real balanced truncation (PRBT) can generate passive reduced-order models (ROMs), whose main bottleneck lies in solving the dual expensive generalized algebraic Riccati equations (GAREs). This paper presents a novel moment-matching MORfor indefinite DSs, which preserves both the system passivity and, if present, also the improper polynomial part. This method only requires solving one GARE, therefore it is cheaper than existing PRBT schemes. On the other hand, the proposed algorithm is capable of preserving the passivity of indefinite DSs, which is not guaranteed by traditional moment-matching MORs. Examples are finally presented showing that our method is superior to PRIMA in terms of accuracy. ©2011 IEEE.en_HK
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000194-
dc.relation.ispartofAsia and South Pacific Design Automation Conference Proceedingsen_HK
dc.rightsAsia and South Pacific Design Automation Conference Proceedings. Copyright © IEEE.-
dc.rights©2011 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.subjectBalanced truncation-
dc.subjectDescriptor systems-
dc.subjectGeneralized algebraic riccati equations-
dc.subjectModel order reduction-
dc.subjectMoment-matching-
dc.titleA moment-matching scheme for the passivity-preserving model order reduction of indefinite descriptor systems with possible polynomial partsen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailZhang, Z: zzhang1@HKUSUC.hku.hken_HK
dc.identifier.emailWang, Q: wangqing@hku.hk-
dc.identifier.emailWong, N: nwong@eee.hku.hk-
dc.identifier.authorityWong, N=rp00190en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/ASPDAC.2011.5722240en_HK
dc.identifier.scopuseid_2-s2.0-79952961899en_HK
dc.identifier.hkuros192306en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79952961899&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage49en_HK
dc.identifier.epage54en_HK
dc.publisher.placeUnited States-
dc.description.otherThe 16th Asia and South Pacific Design Automation Conference (ASP-DAC 2011), Yokohama, Japan, 25-28 January 2011. In Proceedings of the 16th ASP-DAC, 2011, p. 49-54, paper 1C-1-
dc.identifier.scopusauthoridDaniel, L=7102917670en_HK
dc.identifier.scopusauthoridWong, N=35235551600en_HK
dc.identifier.scopusauthoridWang, Q=37076439700en_HK
dc.identifier.scopusauthoridZhang, Z=37049561000en_HK

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