Near-optimal frequency-weighted interpolatory model reduction / Tobias Breiten, Christopher Beattie, Serkan Gugercin
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870498681
URN
urn:nbn:de:gbv:3:2-64291
DOI
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Autorin / Autor
Beiträger
Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, August 30, 2013
Umfang
1 Online-Ressource (24 Seiten = 0,95 MB) : Diagramme
Ausgabevermerk
Sprache
eng
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Inhaltliche Zusammenfassung
Abstract: This paper extends an interpolatory framework for weighted-H2 model reduction to MIMO dynamical systems. A new representation of the weighted-H2 inner product in MIMO settings is presented together with associated first-order necessary conditions for an optimal weighted-H2 reduced-order model. Equivalence of these conditions with necessary conditions given by Halevi is shown. An examination of realizations for equivalent weighted-H2 systems leads to an algorithm that remains tractable for large state-space dimension. Several numerical examples illustrate the effectiveness of this approach and its competitiveness with Frequency Weighted Balanced Truncation and Weighted Iterative Rational Krylov Algorithm.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 13-15 ppn:870173030