Nonlinear system identification of fractional Wiener models

被引：27

作者：

Sersour, Lamia ^{[1
]}

Djamah, Tounsia ^{[1
]}

Bettayeb, Maamar ^{[2
,3
]}

机构：

[1] Univ M Mammeri Tizi Ouzou, L2CSP, BP 17 RP, Tizi Ouzou 15000, Algeria

[2] Univ Sharjah, Dept Elect Elect & Comp Engn, Sharjah, U Arab Emirates

[3] King Abdulaziz Univ, CEIES, Jeddah, Saudi Arabia

来源：

NONLINEAR DYNAMICS | 2018年 / 92卷 / 04期

关键词：

Fractional system; Polynomial nonlinear fractional state space equations; Wiener model; Monte Carlo method; ALGORITHM;

D O I：

10.1007/s11071-018-4142-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The Wiener model is a case of block-oriented model, which is suitable for modeling a large class of nonlinear systems. It consists of the cascade of two parts, where a linear dynamic part is followed by a static nonlinear part. On the other hand, fractional order models have gained increasing interest over the last decades due to their better representation of some physical phenomena. In this paper, the fractional Wiener system identification is aimed. The polynomial nonlinear fractional state space equations are used to describe the nonlinear model. Thus, the extension of an output error method (Levenberg Marquard algorithm) is developed to estimate the fractional Wiener system. The efficiency of the identification method is evaluated and confirmed by simulation examples.

引用

页码：1493 / 1505

页数：13

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