Stable rational approximation in the context of interpolation and convex optimization
2007 (English)In: Proceedings Of The 46th IEEE Conference On Decision And Control, Vols 1-14, 2007, 2214-2221 p.Conference paper (Refereed)
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.
, IEEE Conference On Decision And Control - Proceedings, ISSN 0191-2216
Nevanlinna-Pick Interpolation, Preserving Model-Reduction, Constraint
IdentifiersURN: urn:nbn:se:kth:diva-41055DOI: 10.1109/CDC.2007.4434368ISI: 000255181701062ScopusID: 2-s2.0-62749179739ISBN: 978-1-4244-1497-0OAI: oai:DiVA.org:kth-41055DiVA: diva2:444781
46th IEEE Conference on Decision and Control Location: New Orleans, LA Date: DEC 12-14, 2007
QC 201109302011-09-302011-09-232012-01-18Bibliographically approved