Moments of discrete systems and application in model reduction

Yen Ping Shih, Wen Teng Wu, Hang Chun Chow

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The ith moment of a discrete data system with constant sampling period T and impulse response g(nT) is defined as. βi=Σn=0t8 (nT)ig(nT). The z-transform of g(nT) is G(z). Letting G*(s) = G(z) z=exp (Ts) it is shown that. βi=(-1)i( diG*(s) dsi)s=0. The algorithm for the calculation of βi from a rational z-transfer function is developed. Moments matching for the simplification of z-transfer functions is discussed. An example is used to illustrate the power of the method.

Original languageEnglish
Pages (from-to)107-112
Number of pages6
JournalChemical Engineering Journal
Volume10
Issue number1
DOIs
Publication statusPublished - 1975

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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