分数阶系统的迭代最小二乘辨识算法

Iterative Least Square Identification Algorithm for Fractional Order System

针对等比例阶次的分数阶系统的特点,提出了一种分数阶系统频域辨识的迭代最小二乘算法,并将运算数据的实部和虚部分离计算引入辨识过程,简化了计算的复杂度。此算法是整数阶系统辨识频域最小二乘算法的推广。通过无噪声和有噪声两种情况下的仿真实验,证明了该算法的有效性。

This article deals with the identification algorithm of the commensurate fractional order system in the frequency domain.An iterative least square identification algorithm was proposed aimed at the characteristic of commensurate fractional order system,which is a promotion of the integer-order system least-squares identification algorithm in frequency-domain.In order to simplify the calculation,the method of separated real part and imaginary part of the frequency data was introduced.The simulation resulted with noise-free and noisy data verified the effectiveness of the proposed method.