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Interpolatory weighted-H2 model reduction

delete2013-05-01
delete35
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OA
AI
B
Branimir Anić *
C
Christopher Beattie
S
Serkan Gugercin
A
Athanasios C. Antoulas
DOI:10.1016/j.automatica.2013.01.040delete
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Abstract

Abstract

En 中文
This paper introduces an interpolation framework for the weighted-H-2 model reduction problem. We obtain a new representation of the weighted-H-2 norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H-2 norm representation also provides an error expression that motivates a new weighted-H-2 model reduction algorithm. Several numerical examples illustrate the effectiveness of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.
Keywords:
Model reduction
Rational interpolation
Feedback control
Weighted model reduction
Weighted-H-2 approximation
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Journal

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

Organization

K
karlsruhe institute of technology
Scholars:
2.0W
Papers: 1.4W
Citations: 23
H
Helmholtz Association
Scholars:
13.2W
Papers: 10.7W
Citations: 145