模型误差界的频域辨识方法分析

On the Frequency-Domain Method for the Determination of Model Error Bounds

模型误差界的确定是系统辨识中一个重要的组成部分．本文应用截尾傅氏变换和H∞辨识理论，对模型误差界的常规频域辨识方法进行了分析，给出了传递函数的频率响应误差界和总体误差界，对Baryard等人的频域误差界估计方法做了修正．

The determination of model error bound is an important component of system identification algorithms. In this paper, truncated Fourier transform and H∞ identification theory are used to analyze the errorbound estimated by the conventional frequency-domain identification algorithms. Error bounds on the finitepoint samples of plant frequency response and the worst-case error bound of the plant are provided. These error bounds are corrections to the model error bounds obtained using Baryard's frequency-domain method.