基于脉冲响应的输出误差模型的辨识

Identification of output error models based on impulse response

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 .

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.