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A novel numerical method for exact model matching problem with stability

delete2006-10-01
delete17
PRE
AI
D
Delin Chu
P
Paul Van Dooren *
DOI:10.1016/j.automatica.2006.04.024delete
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Abstract

Abstract

En 中文
In system design the exact model matching problem with stability consists of compensating a given system, using a realizable control law of a specified structure, in order to ensure the stability of the compensated system and achieve a target closed-loop transfer function. In this paper we develop a novel numerical method to verify the solvability of the problem for left invertible systems and further construct a desired solution. Our method has a complexity which is cubic in the state dimension of the system and the desired model and can be implemented in a numerically reliable way. (C) 2006 Elsevier Ltd. All rights reserved.
Keywords:
exact model matching
stability
invertibility
orthogonal transformations
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Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

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