Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
Model Reduction using the Sine-Wave Response Gramian
Hidekazu TAKAHARAKazumi HORIGUCHI
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2008 Volume 21 Issue 2 Pages 40-47

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Abstract

In this paper, we propose a model reduction method by truncation of the balanced realization associated with the sine-wave response observability gramian and the controllability gramian. A feature of the present model reduction method is that the transfer function's value of the reduced-order model is equal to that of the original model at some frequency points. This method is also shown to provide the reduced-order model which minimizes an error norm of the model reduction.

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