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A global analysis approach to passivity preserving model reduction
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Engineering Sciences (SCI), Centres, Center for Industrial and Applied Mathematics, CIAM. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0001-5158-9255
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0002-2681-8383
2006 (English)In: Proceedings Of The 45th IEEE Conference On Decision And Control, Vols 1-14, 2006, 3399-3404 p.Conference paper, Published paper (Refereed)
Abstract [en]

Passivity-preserving model reduction for linear time-invariant systems amounts to approximating a positive-real rational transfer function with one of lower degree. Recently Antoulas and Sorensen have proposed such a model-reduction method based on Krylov projections. The method is based on an observation by Antoulas (in the single-input/single-output case) that if the approximant is preserving a subset of the spectral zeros and takes the same values as the original transfer function in the mirror points of the preserved spectral zeros, then the approximant is also positive real. However, this turns out to be a special solution in the theory of analytic interpolation with degree constraint developed by Byrnes, Georgiou and Lindquist, namely the maximum-entropy (central) solution. By tuning the interpolation points and the spectral zeros, as prescribed by this theory, one is able to obtain considerably better reduced-order models.

Place, publisher, year, edition, pages
2006. 3399-3404 p.
Series
IEEE Conference on Decision and Control, ISSN 0191-2216
Keyword [en]
Nevanlinna-Pick Interpolation, Convex-Optimization Approach, Degree Constraint, Filters
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-41754DOI: 10.1109/CDC.2006.376706ISI: 000252251603084Scopus ID: 2-s2.0-39649107306ISBN: 978-1-4244-0170-3 (print)OAI: oai:DiVA.org:kth-41754DiVA: diva2:445121
Conference
45th IEEE Conference on Decision and Control Location: San Diego, CA Date: DEC 13-15, 2006
Note

QC 20111003

Available from: 2011-10-03 Created: 2011-09-30 Last updated: 2016-05-23Bibliographically approved

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Karlsson, JohanLindquist, Anders

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