| 双线性变换的递推算法 |
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| 引用本文： | 叶宁,汪晓来.双线性变换的递推算法[J].控制理论与应用,1985,2(3):105-113. |
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| 作者姓名： | 叶宁 汪晓来 |
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| 作者单位： | 紫金山天文台
(叶宁)，紫金山天文台(汪晓来) |
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| 摘 要： | 在数字控制器、数字滤波器的设计中,双线性变换是最常用的工具之一。但当系统的阶数较高时,实行双线性变换就比较繁琐。本文就双线性变换提出了适用于N阶系统的递推算法,并给出了利用递推算法的计算机辅助变换程序框图。
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| 收稿时间： | 1984/2/16 0:00:00 |
| 修稿时间： | 1984/6/20 0:00:00 |
A RECURSIVE ALGORITHM FOR THE BILINEAR TRANSFORMATION |
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| Ye Ning,Wang Xiaolai.A RECURSIVE ALGORITHM FOR THE BILINEAR TRANSFORMATION[J].Control Theory & Applications,1985,2(3):105-113. |
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| Authors: | Ye Ning Wang Xiaolai |
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| Affiliation: | Purple Mountain Observatory |
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| Abstract: | In digital control, digital signal processing and computer simulation of control systems, bilinear transformation is used to transform a transfer function from the s-plane to the z-plane, or vice versa. Especially on the continues design of the digital control system, the experimental work by Avner Ben-zwi and Meir preiszter 4] showed that the bilinear z-transformation is the best method of the various discrete methods to transform an analog controller to a digital controller. However, the computational task of bilinear transformation is tedious when the order of the transfer function is greater than two. In this paper a recursive algorithm for the bilinear transformation and a computer aided transform program based on this recursive algorithm are given. |
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