System reduction using eigen spectrum analysis and Padé approximation technique

Authors: Parmar, G.; Mukherjee, S.; Prasad, R.

Source: International Journal of Computer Mathematics, Volume 84, Number 12, December 2007 , pp. 1871-1880(10)

Publisher: Taylor and Francis Ltd

Abstract:

A mixed method is proposed for deriving reduced-order models of high-order linear time invariant systems using the combined advantages of eigen spectrum analysis and the Padé approximation technique. The denominator of the reduced-order model is found by eigen spectrum analysis, the dynamics of the numerator are chosen using the Padé approximation technique. This method guarantees stability of the reduced model if the original high-order system is stable. The method is illustrated by three numerical examples.

Keywords: Eigen spectrum; Impulse response energy; Integral square error; Model order reduction; Padé approximation

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160701345566

Affiliations: 1: Department of Electrical Engineering, Indian Institute of Technology, Uttarakhand, India

Publication date: 2007-12-01

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