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.
Author: | Timo Reis, Tatjana Stykel |
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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 |