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Dissipativity-preserving model reduction based on generalized singular perturbation
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
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2013 (English)In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC), IEEE conference proceedings, 2013, 5540-5545 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we develop a dissipativity-preserving model reduction method based on a generalized singular perturbation approximation. This model reduction framework can deal with not only standard singular perturbation approximation but also projection-based model reduction as a special case. To develop such a model reduction method, we investigate a condition under which system dissipativity is appropriately preserved through the approximation. Moreover, deriving a novel factorization of the error system in the Laplace domain, we derive an a priori error bound in terms of the H2-norm. The efficiency of the model reduction is shown through an example of interconnected second-order systems.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 5540-5545 p.
Series
IEEE Conference on Decision and Control. Proceedings, ISSN 0743-1546
Keyword [en]
Laplace domains, Model reduction, Model reduction method, Priori error bounds, Projection-based model reductions, Second-order systemss, Singular perturbation approximation, Singular perturbations, Control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-150868DOI: 10.1109/CDC.2013.6760762ISI: 000352223506045Scopus ID: 2-s2.0-84902354953ISBN: 978-146735717-3 (print)OAI: oai:DiVA.org:kth-150868DiVA: diva2:745843
Conference
52nd IEEE Conference on Decision and Control, CDC 2013, 10 December 2013 through 13 December 2013, Florence, Italy
Note

QC 20140911

Available from: 2014-09-11 Created: 2014-09-11 Last updated: 2015-12-08Bibliographically approved

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Sandberg, Henrik

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf