时延线性系统参数估计的一种新方法—Fourier级数法

PARAMETER ESTIMATION OF TIME-DELAY LINEAR SYSTEMS BY USING FOURIER SERIES

本文提出了一种用Fourier级数来对时延线性系统进行参数估计的新方法,通过Fourier级数对系统变量的展开,并引入时延分析方法,进而利用最小二乘法得到参数的估计值,并用例子说明了展开项数对估计精度的影响,以及与方块函数用于参数估计作了比较,以体现该法特点。

In this paper a new approach for parameter estimation of linear time-delay systems by using Fourier series is presented. By expanding vectors and time-delay analysis, then using least square method, we can get the estimation of parameters. Examples show that the estimation of parameters are quite accurate.