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.[点击复制]
Ye Ning, Wang Xiaolai.A RECURSIVE ALGORITHM FOR THE BILINEAR TRANSFORMATION[J].Control Theory and Technology,1985,2(3):105~113.[点击复制]
双线性变换的递推算法
A RECURSIVE ALGORITHM FOR THE BILINEAR TRANSFORMATION
摘要点击 1875  全文点击 464  投稿时间:1984-02-16  修订日期:1984-06-20
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DOI编号  
  1985,2(3):105-113
中文关键词  
英文关键词  
基金项目  
作者单位
叶宁 ,汪晓来 紫金山天文台 
中文摘要
      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。
英文摘要
      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.