A generalised partial-fraction-expansion based frequency weighted balanced truncation technique

作者:Sreeram Victor*; Sahlan Shafishuhaza; Muda Wan Mariam Wan; Fernando Tyrone; Iu Herbert H C
来源:International Journal of Control, 2013, 86(5): 833-843.
DOI:10.1080/00207179.2013.764017

摘要

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 priorierror 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.

  • 出版日期2013-5-1