Title
An algorithm for direct identification of passive transfer matrices with positive real fractions via convex programming
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Chichester ,
Subject
Engineering sciences. Technology
Computer. Automation
Source (journal)
International journal of numerical modelling: electronic networks, devices and fields. - Chichester
Volume/pages
24(2011) :4 , p. 375-386
ISSN
0894-3370
ISI
000292278400006
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The paper presents a new algorithm for the identification of a positive real rational transfer matrix of a multi-inputmulti-output system from frequency domain data samples. It is based on the combination of least-squares pole identification by the Vector Fitting algorithm and residue identification based on frequency-independent passivity constraints by convex programming. Such an approach enables the identification of a priori guaranteed passive lumped models, so avoids the passivity check and subsequent (perturbative) passivity enforcement as required by most of the other available algorithms. As a case study, the algorithm is successfully applied to the macro-modeling of a twisted cable pair, and the results compared with a passive identification performed with an algorithm based on quadratic programming (QPpassive), highlighting the advantages of the proposed formulation
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