Pole Selection of Kautz Functions for System Identification

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  • Bae Chul-Min
    Department of Electrical and Electronic Systems Engineering, Graduate School of Information Science and Electrical Engineering, Kyushu University : Graduate Student
  • 和田 清
    九州大学大学院システム情報科学研究科電気電子システム工学専攻
  • 今井 純
    九州九州大学大学院システム情報科学研究科電気電子システム工学専攻

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A linear time-invariant model can be described either by a parametric model or by a nonparametric model. Nonparametric models, for which a priori information is not necessary, are basically the response of the dynamical system such as impulse response model and frequency models. Parametric models, such as transfer function models, can be easily described by a small number of . In this paper aiming to take benefit from both types of models, we will use linearcombination of basis fuctions in an impulse response using a few parameters. We will expand and generalize the Kautz functions as basis functions for dynamical system representations and we will consider estimation problem of transfer functions using Kautz function. And so we will present the influences of poles settings of Kautz function on the identification accuracy.

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