基于脉冲响应的输出误差模型的辨识

基于系统脉冲响应参数, 利用相关分析方法, 提出了一种辨识输出误差模型参数的方法. 该方法是利用有限脉冲响应模型逼近输出误差模型, 通过依次递增脉冲响应参数的数目N来提高逼近精度. 理论分析表明, 只要N足够大, 模型的辨识精度可以满足实际要求. 提出的辨识方法可以在假设阶次N =1的条件下, 依次递增计算N较大时的脉冲响应参数和目标函数值, 从而根据脉冲响应确定系统的参数. 仿真试验说明提出的方法估计输出误差模型的参数是有效的.

Identification of output error models based on impulse response

Based on system impulse response, identification problem of the systems described by output error model was studied using correlation analysis, and its basic idea was to use a finite impulse response parameter model to approach the system model, and the model approximation precision was enhanced with the number N of the number of the impulse response parameters increasing. The theory analysis indicated that the model approximation could meet the requirements in Engineering as long as N is large enough. The proposed method could recursively compute the impulse response parameters and objective function by increasing N in turn from N=1, and estimated the system model parameters by the impulse response parameters. The simulation example shows that the proposed algorithm is effective for estimating the parameters of output error models.