引用本文:周其节， 谭鉴池.辨识传递函数的相关——最小二乘数[J].控制理论与应用,1985,2(3):84~89.[点击复制]
Zhou Qijie, Tan Jianchi.A CORRELATION-LEAST SQUARES METHOD FOR THE IDENTIFICATION OF TRANSFER FUNCTION[J].Control Theory and Technology,1985,2(3):84~89.[点击复制]
辨识传递函数的相关——最小二乘数
A CORRELATION-LEAST SQUARES METHOD FOR THE IDENTIFICATION OF TRANSFER FUNCTION
摘要点击 1266  全文点击 481  投稿时间：1984-03-10  修订日期：1984-10-29
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DOI编号  
  1985,2(3):84-89
中文关键词  
英文关键词  
基金项目  
作者单位
周其节， 谭鉴池 华南工学院 
中文摘要
      本文提出一种由脉冲响应序列g0（kT）估计传递函数W（s）的最小二乘法。将系统微分方程积分，得到积分方程。由输入σ（t）、输出g0（kT）用梯形积分法可求出各采样时刻的各积分项的值，便可用最小二乘法估计系统的参数及W（s）。系统的阶数可由是否出现零点、极点对消而确定。本文给出对一阶网络及对电热丝加热炉辨识的实验结果，它们表明本文所提的方法是有效的。
英文摘要
      In this paper a least squares method for the identification of transfer function W(s) from impulse response g(kT) is proposed. Suppose the system is described by a nth order differential equation. Integrating the equation a times an integral equation is obtained. Using the trapezoidal rule of integration the value of the integral terms appeared in that equation at the sampling times KT can be calculated. Then the least squares method gives the estimation of the coefficients of the integral equation which are also the coefficients of the original equation describing the system, so W(s) is obtained. When n>n0, pole-zero cancellation will appear in W(s), so we can decide n0, The experimental results of a 1st order network and of an electric heater are given which show that the method proposed could be useful.