Stability-preserving rational approximation subject to interpolation constraints
2008 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 53, no 7, 1724-1730 p.Article in journal (Refereed) Published
A quite comprehensive theory of analytic interpolation with degree constraint, dealing with rational analytic 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 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 analytic interpolants.
Place, publisher, year, edition, pages
2008. Vol. 53, no 7, 1724-1730 p.
interpolation, model reduction, quasi-convex optimization, rational, approximation, stability, nevanlinna-pick interpolation, model-reduction, infinity, systems
IdentifiersURN: urn:nbn:se:kth:diva-17829DOI: 10.1109/tac.2008.929384ISI: 000259263900018ScopusID: 2-s2.0-52249086276OAI: oai:DiVA.org:kth-17829DiVA: diva2:335874
QC 20100525 QC 201201182010-08-052010-08-052012-01-18Bibliographically approved