Abstract
ABSTRACTIn this paper, a modification to Lin and Chiu's technique [1,2] of frequency weighted balanced truncation is presented. As in [1,2] the method is based on simulataneously diagonalizing the frequency weighted controllability and observability Gramians. Instead of obtaining the reduced order models from the truncated frequency weighted balanced realization as in conventional techniques [1,2], the models are obtained from the truncated augmented system realizations which ensures matching of the dominant frequency weighted Hankel singular values. The method is compared with the method of [2] using numerical examples.
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