Improved results on frequency-weighted balanced truncation and error bounds. (English) Zbl 1274.93044

Summary: In this paper, we present some new results on frequency-weighted balanced truncation which is a significant improvement on Lin and Chiu’s frequency-weighted balanced truncation technique. The reduced-order models, which are guaranteed to be stable in the case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. Numerical examples and comparison with other well-known techniques show the effectiveness of the proposed technique.


93B11 System structure simplification
93C15 Control/observation systems governed by ordinary differential equations
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