Application of generalized block-pulse operational matrices for the approximation of continuous-time systems

Chi-Hsu Wang, Richard S. Marleau

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The central theme of this paper is to apply generalized block-pulse operational matrices to approximate continuous-time systems. Generalized block-pulse operational matrices and the Routh approximation method are used together to find a low-order transfer function to approximate the original high-order transfer function. The Routh approximation method is used to preserve the stability of the original system by first determining the denominator coefficients of the reduced-order system. Generalized block-pulse operational matrices are then applied to determine numerator coefficients of the reduced-order system by optimally matching the unit step responses of the original and reduced-order systems. This new constrained time-domain matching approach not only yields more satisfactory results than previous methods, but also provides a more straightforward and efficient method for the approximation of continuous-time systems.

Original languageEnglish
Pages (from-to)1269-1278
Number of pages10
JournalInternational Journal of Systems Science
Volume17
Issue number9
DOIs
StatePublished - 1 Jan 1986

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