Sensitivity of Time Response to Characteristic Ratios (Systems and Control)

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概要

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• In recent works [1], [4], it has been shown that the damping of a linear time invariant system relates to the so-called characteristic ratios (α_k, k=1, …, n-1) which are defined by coefficients of the denominator of the transfer function. However, the exact relations are not yet fully understood. For the purpose of exploring the issue, this paper presents the analysis of time response sensitivity to the characteristic ratio change. We begin with the sensitivity of output to the perturbations of coefficients of the system denominator and then the first order approximation of the α_k perturbation effect is computed by an explicit transfer function. The results are extended to all-pole systems in order to investigate which characteristic ratios act dominantly on step response. The same analysis is also performed to a special class of systems whose denominator is composed of so called K-polynomial. Finally, some illustrative examples are given.

• 一般社団法人電子情報通信学会の論文
• 2006-02-01

著者

• KIM Youngchol

  the School of Electrical and Computer Engineering, Chungbuk National University

• KIM Keunsik

  the School of Automobile Engineering, Ajou Motor College

• Kim Keunsik

  The School Of Automobile Engineering Ajou Motor College

• Kim Youngchol

  The School Of Electrical And Computer Engineering Chungbuk National University

関連論文

• Sensitivity of Time Response to Characteristic Ratios (Systems and Control)

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