H∞ model reduction of singularly perturbed control systems

In this paper, the problem of H infin model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H infin...

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Hauptverfasser: Ningfan Zhong, Minhui Sun, Lin Xue, Yun Zou
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Minhui Sun
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Yun Zou
description In this paper, the problem of H infin model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H infin norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. A numerical example is presented to show the effectiveness of the model reduction method.
doi_str_mv 10.1109/CCDC.2009.5191809
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subjects Control system synthesis
Differential equations
Electronic mail
Error correction
Frequency
H ∞ model reduction
Linear matrix inequalities
Marine technology
Matrix decomposition
Oceans
Reduced order systems
Singularly perturbed system
two-time-scale
title H∞ model reduction of singularly perturbed control systems
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