A generalised partial-fraction-expansion based frequency weighted balanced truncation technique. (English) Zbl 1278.93118

Summary: In this paper, we present some new results on a frequency weighted balanced truncation technique based on well-known partial-fraction-expansion idea. The reduced order models which are guaranteed to be stable in case of double-sided weighting are obtained by direct truncation. Two sets of simple, elegant and easily computable a priori error bounds are also derived. Relationships between the proposed method and the previous methods based on partial-fraction idea are also derived. The technique is illustrated using a numerical example of a practical application and then compared with other well-known techniques, to show the effectiveness of the method.


93B51 Design techniques (robust design, computer-aided design, etc.)
93B11 System structure simplification
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