用WALSH函数对时滞系统进行辨识

Walsh Function Approach to Identification of Time-lag Systems

本文研究了用WALSH函数对有滞后时间的线性连续系统进行参数估值的方法。文中提出以序域的最小二乘法来计算参数,并以残差平方和作为目标函数来估计滞后时间,给出了滞后阶跃函数各次积分的准确WALSH变换方法。这些算法易用IBM-PC微机实现,并得出了满意的结果。

A parameter estimation method via Walsh function is developed For linear continuous time-lag systems. It is proposed in this paper to calculate parameters via leastsquares estimation in sequency domain and employ sum of squares of residual error as criterion for estimation of the time-lag. A precise method for Walsh transformation of the time-lag unit step function and its integrals has been presented. The algorithms proposed are easy to implement in the IBM-PC microcomputer and the results appear to be satisfactory.