An innovative parameter estimation for fractional order systems impulse noise

被引：22

作者：

Cui, Rongzhi ^{[1
]}

Wei, Yiheng ^{[1
]}

Cheng, Songsong ^{[1
]}

Wang, Yong ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Anhui, Peoples R China

来源：

ISA TRANSACTIONS | 2018年 / 82卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Parameter estimation; Approximate least absolute error; Fractional order parameter update law; Impulse noise; Stochastic gradient method; IDENTIFICATION; MODEL;

D O I：

10.1016/j.isatra.2017.06.025

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problem of parameter estimation for fractional order linear systems when the output signal is polluted by impulse noise. The conventional least square error objective function is replaced by a new approximate least absolute error (ALAE) function to restrain the influence of impulse noise. Then a novel parameter estimation approach is designed based on the stochastic gradient method, the fractional order parameter update law and the ALAE criterion, which improves estimation accuracy and enhances robustness at the same time. It is shown that the adoption of the fractional order parameter update law ensures larger selection range of update order and smoother convergence of the algorithm. The effectiveness and superiority of the proposed method are verified by strict mathematical analysis and detailed numerical examples. (C) 2017 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：120 / 129

页数：10

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