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Structured model reduction of interconnected linear systems based on singular perturbation
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-9940-5929
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2013 (English)In: Proceedings of the American Control Conference 2013, American Automatic Control Council , 2013, 5524-5529 p.Conference paper, Published paper (Refereed)
Abstract [en]

This paper proposes a singular perturbation approximation that preserves system passivity and an interconnection topology among subsystems. In the first half of this paper, we develop a singular perturbation approximation valid for stable linear systems. Using the relation between the singular perturbation and the reciprocal transformation, we derive a tractable expression of the error system in the Laplace domain, which provides a novel insight to regulate the approximating quality of reduced models. Then in the second half, we develop a structured singular perturbation approximation that focuses on a class of interconnected systems. This structured approximation provides a reduced model that not only possesses fine approximating quality, but also preserves the original interconnection topology and system passivity.

Place, publisher, year, edition, pages
American Automatic Control Council , 2013. 5524-5529 p.
Series
Proceedings of the American Control Conference, ISSN 0743-1619
Keyword [en]
Error systems, Interconnection topologies, Laplace domains, Reduced model, Singular perturbation approximation, Singular perturbations, Stable linear systems, Structured model, Linear systems, Topology
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-133380Scopus ID: 2-s2.0-84883506819ISBN: 978-147990177-7 (print)OAI: oai:DiVA.org:kth-133380DiVA: diva2:661990
Conference
2013 1st American Control Conference, ACC 2013; Washington, DC; United States; 17 June 2013 through 19 June 2013
Note

QC 20131105

Available from: 2013-11-05 Created: 2013-10-31 Last updated: 2013-11-05Bibliographically approved

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Sandberg, HenrikJohansson, Karl Henrik

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CiteExportLink to record
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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