Frequency weighted balanced reduction technique: a generalization and an error bound

19 November 2002

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 4 (01912216) , 3576-3581
https://doi.org/10.1109/cdc.1995.479141

Abstract

In this paper, a new frequency weighted balanced reduction technique is presented. The method is guaranteed to yield stable reduced order models and is applicable to both discrete and continuous systems. It is a simple generalization of Al-Saggaf and Franklin's technique (1986, 1988), but can handle square double-sided weighting matrices, and requires no restriction relating input, state and output dimensions of the weight. A frequency-domain interpretation and a frequency response error bound for the proposed technique are also provided.

Keywords

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