【摘要】 本文提出一种由脉冲响应序列g（?）（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。更多还原

【Abstract】 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 n times an integral equation is obtained. Using the trapezoidal rule of integration the value of the integralterms 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.更多还原