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Stability analysis and model order reduction for coupled systems

Please always quote using this URN:urn:nbn:de:0296-matheon-2539
  • In this paper we discuss the stability and model order reduction of coupled linear time-invariant systems. Sufficient conditions for a closed-loop system to be asymptotically stable are given. We present a model reduction approach for coupled systems based on reducing the order of the subsystems and coupling the reduced-order subsystems by the same interconnection matrices as for the original model. Such an approach allows to obtain error bounds for the reduced-order closed-loop system in terms of the errors in the reduced-order subsystems. Model reduction of coupled systems with unstable subsystems is also considered. Numerical examples are given.

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Metadaten
Author:Timo Reis, Tatjana Stykel
URN:urn:nbn:de:0296-matheon-2539
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2005/11/05
Release Date:2005/11/05
Institute:Technische Universität Berlin
Preprint Number:241
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