A global analysis approach to passivity preserving model reduction
2006 (English)In: Proceedings Of The 45th IEEE Conference On Decision And Control, Vols 1-14, 2006, 3399-3404 p.Conference paper (Refereed)
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.
, IEEE Conference on Decision and Control, ISSN 0191-2216
Nevanlinna-Pick Interpolation, Convex-Optimization Approach, Degree Constraint, Filters
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-41754DOI: 10.1109/CDC.2006.376706ISI: 000252251603084ScopusID: 2-s2.0-39649107306ISBN: 978-1-4244-0170-3OAI: oai:DiVA.org:kth-41754DiVA: diva2:445121
45th IEEE Conference on Decision and Control Location: San Diego, CA Date: DEC 13-15, 2006
QC 201110032011-10-032011-09-302016-05-23Bibliographically approved