Parameter identification of commensurate fractional-order chaotic system via differential evolution

被引：63
|
作者：
Tang, Yinggan [1 ]
Zhang, Xiangyang [1 ]
Hua, Changchun [1 ]
Li, Lixiang [2 ]
Yang, Yixian [2 ]
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Hebei, Peoples R China
[2] Chinese Acad Sci, Res Ctr Fictitious Econ & Data Sci, Beijing 100190, Peoples R China
来源：
PHYSICS LETTERS A | 2012年 / 376卷 / 04期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Parameter identification; Fractional order; Chaotic system; Differential evolution; SYNCHRONIZATION; EQUATIONS; ROSSLER; MODEL;
D O I：
10.1016/j.physleta.2011.12.008
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Chaos can be observed in fractional-order nonlinear systems with appropriate orders. The knowledge about the parameters and orders are the basis of the control and synchronization of fractional-order chaotic systems. In this Letter, the problem of parameter identification of commensurate fractional-order chaotic systems is investigated. By treating the orders as additional parameters, the parameters and orders are identified together through minimizing an objective function. Differential evolution algorithm, a powerful and robust evolutionary algorithm, is applied to search the optimal solution of the objective function. Numerical simulations and comparisons with genetic algorithm (GA) demonstrate the effectiveness of the proposed method. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：457 / 464
页数：8
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