Near-optimal frequency-weighted interpolatory model reduction / Tobias Breiten, Christopher Beattie, Serkan Gugercin
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Near-optimal frequency-weighted interpolatory model reduction
Discovery
870498681
URN
urn:nbn:de:gbv:3:2-64291
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, August 30, 2013
Content
1 Online-Ressource (24 Seiten = 0,95 MB) : Diagramme
Edition
Language
eng
Comment
Abstract
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.
Series
Max Planck Institute Magdeburg Preprints ; 13-15 ppn:870173030