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Stable rational approximation in the context of interpolation and convex optimization
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.ORCID iD: 0000-0001-5158-9255
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.ORCID iD: 0000-0002-2681-8383
2007 (English)In: Proceedings Of The 46th IEEE Conference On Decision And Control, Vols 1-14, 2007, 2214-2221 p.Conference paper, Published paper (Refereed)
Abstract [en]

A quite comprehensive theory of analytic interpolation with degree constraint, dealing with rational interpolants with an a priori bound, has been developed in recent years. In this paper we consider the limit case when this bound is removed, and only stable interpolants with a prescribed maximum degree are sought. This leads to weighted H-2 minimization, where the interpolants are parameterized by the weights. The inverse problem of determining the weight and the interpolation points given a desired interpolant profile is considered, and a rational approximation procedure based on the theory is proposed. This provides a tool for tuning the solution to specifications. The basic idea could also be applied to the case with bounded interpolants.

Place, publisher, year, edition, pages
2007. 2214-2221 p.
Series
IEEE Conference On Decision And Control - Proceedings, ISSN 0191-2216
Keyword [en]
Nevanlinna-Pick Interpolation, Preserving Model-Reduction, Constraint
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-41055DOI: 10.1109/CDC.2007.4434368ISI: 000255181701062Scopus ID: 2-s2.0-62749179739ISBN: 978-1-4244-1497-0 (print)OAI: oai:DiVA.org:kth-41055DiVA: diva2:444781
Conference
46th IEEE Conference on Decision and Control Location: New Orleans, LA Date: DEC 12-14, 2007
Note
QC 20110930Available from: 2011-09-30 Created: 2011-09-23 Last updated: 2012-01-18Bibliographically approved

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Karlsson, JohanLindquist, Anders

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