×

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.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93B11 System structure simplification
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Al-Saggaf U. M., IEEE Transactions on Automatic Control 33 pp 687– (1988) · Zbl 0646.93033
[2] Antoulas A., Advances in Design and Control, SIAM (2005)
[3] Du X., IET Control Theory & Applications 4 pp 499– (2010)
[4] Ghafoor A., IEEE Transactions on Automatic Control 52 pp 1942– (2007) · Zbl 1366.93380
[5] Ghafoor A., Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME 130 pp 0610041– (2008)
[6] Glover K, International Journal of Control 39 pp 1115– (1984) · Zbl 0543.93036
[7] Latham A., Systems and Control Letters 5 pp 229– (1986) · Zbl 0559.93036
[8] Lin A., Control Theory and Advanced Technology 8 pp 341– (1992)
[9] Moore B. C, IEEE Transactions on Automatic Control 26 pp 17– (1981) · Zbl 0464.93022
[10] Obinata G., Model reduction for control system design (2001) · Zbl 0964.93003
[11] Sreeram V., International Journal of Robust and Nonlinear Control 22 pp 1195– (2012) · Zbl 1274.93044
[12] Varga A., Automatica 39 pp 919– (2003) · Zbl 1045.93010
[13] Wang G., IEEE Transactions on Automatic Control 44 pp 1734– (1999) · Zbl 0958.93020
[14] Zhou K, IEEE Transactions on Automatic Control 40 pp 1687– (1995) · Zbl 0844.93022
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.