Moments of discrete systems and application in model reduction

Yen Ping Shih; Wen Teng Wu; Hang Chun Chow

doi:10.1016/0300-9467(75)88024-5

Moments of discrete systems and application in model reduction

Yen Ping Shih
, Wen Teng Wu
, Hang Chun Chow

College of Engineering

Research output: Contribution to journal › Article › peer-review

13 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=Σ_n=0^t8 (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 language	English
Pages (from-to)	107-112
Number of pages	6
Journal	Chemical Engineering Journal
Volume	10
Issue number	1
DOIs	https://doi.org/10.1016/0300-9467(75)88024-5
Publication status	Published - 1975

All Science Journal Classification (ASJC) codes

General Engineering

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10.1016/0300-9467(75)88024-5

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title = "Moments of discrete systems and application in model reduction",

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.",

author = "Shih, \{Yen Ping\} and Wu, \{Wen Teng\} and Chow, \{Hang Chun\}",

note = "Funding Information: Council for financial support.",

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T1 - Moments of discrete systems and application in model reduction

AU - Shih, Yen Ping

AU - Wu, Wen Teng

AU - Chow, Hang Chun

N1 - Funding Information: Council for financial support.

PY - 1975

Y1 - 1975

N2 - 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.

AB - 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.

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DO - 10.1016/0300-9467(75)88024-5

M3 - Article

AN - SCOPUS:30444445164

SN - 0300-9467

VL - 10

SP - 107

EP - 112

JO - Chemical Engineering Journal

JF - Chemical Engineering Journal

IS - 1

ER -

Moments of discrete systems and application in model reduction

Abstract

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