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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 (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.
, 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
URN: urn:nbn:se:kth:diva-133380ScopusID: 2-s2.0-84883506819ISBN: 978-147990177-7OAI: diva2:661990
2013 1st American Control Conference, ACC 2013; Washington, DC; United States; 17 June 2013 through 19 June 2013

QC 20131105

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

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ReferencesLink to record
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