基于Haar函数的分布参数系统辨识

IDENTIFICATION OF DISTRIBUTED PARAMETER SYSTEMS

借助于正交函数序列对分布参数系统进行辨识，是一种行之有效的辨识方法．本文在一种简单的小波函数基——Ｈａａｒ正交规范基的基础上，提出了应用于分布参数系统的辨识方法，取到了简明易行的效果．由于用直接积分的算法求得了基向量积分运算矩阵，因而辨识精度较高．同时，这一方法在辨识时考虑了系统初始条件与边界条件对辨识结果的影响，因此具有较好的适用性．

To identify distributed parameter systems with the aid of an orthogonal function series is a kind of effective method for identification. On the basis of a simple wavelet function basis? the Haar orthonormal basis, a method for system identification applied to distributed parameter systems is presented in this paper. The identification accuracy is higher due to the application of a direct integration algorithm to the integral operation matrix. Also, the proposed method is more applicable in consideration of the affect of the initial and boundary conditions on the identification results.