用有理函数近似法建立黑箱模型

Proceedings. 8th IEEE Workshop on Signal Propagation on Interconnects Pub Date : 2004-05-09 DOI:10.1109/SPI.2004.1409017

R. Gao, Y. Mekonnen, W. Beyene, J. Schutt-Ainé

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引用次数: 1

摘要

本文采用有理函数法逼近以抽样数据为特征的线性系统的传递函数。利用切比雪夫多项式避免了与普通幂级数相关的病态范德蒙德矩阵。应用克伦肖递归算法将切比雪夫系数转化为普通幂级数。系统的无源性是通过对残差的一定约束来实现的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Black-box modelling by rational function approximation

In this paper, a rational function approach is used to approximate the transfer function of linear systems characterized by sampled data. The ill-conditioned Vandermonde-like matrix associated with the ordinary power series is avoided by using Chebyshev polynomials. Clenshaw's recurrence algorithm is applied in transforming the Chebyshev coefficients to the ordinary power series. The passivity of the system is enforced through certain constraints on the residues.

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Proceedings. 8th IEEE Workshop on Signal Propagation on Interconnects

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