小波分析在分布参数系统辨识中的应用

The Application of Wavelet Analysis in the Identification of the Distributed Parameter System

借助于正交函数序列对分布参数系统进行辨识，是一种有效的辨识方法。本文应用小波分析方法将Ｈａａｒ 小波正交基应用于分布参数系统的辨识中，取得了简明易行的效果。由于算法中采用了Ｈａａｒ 小波的积分运算矩阵，因而辨识精度较高。同时，在辨识系统时考虑了初始条件和边界条件，因此具有较好的适用性。仿真实例证实了方法的有效性。

In practice,many engineer processes are distributed parameter systems.With the development of control theory and computer techonology,higher performance to the control of the practical distributed patrameter processes have been more cmphasized.In the paper,the authors attempt to explore a new approach for the identirication of DPS by the use of orthobonal Haar basis.From the numerical example presented we can see that the wavelets transform is a good and powerful way to solve the problem of identification of DPS.