Identification of fractional-order systems with unknown initial values and structure

被引：33

作者：

Du, Wei ^{[1
]}

Miao, Qingying ^{[2
]}

Tong, Le ^{[3
]}

Tang, Yang ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Continuing Educ, Shanghai 200030, Peoples R China

[3] Hong Kong Polytech Univ, Fac Appl Sci & Text, Hong Kong, Hong Kong, Peoples R China

来源：

PHYSICS LETTERS A | 2017年 / 381卷 / 23期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Fractional-order chaotic systems; Differential evolution; Nonlinear optimization; System identification; Synchronization; DIFFERENTIAL EVOLUTION; PARAMETER-IDENTIFICATION; GLOBAL OPTIMIZATION; CHAOS; SYNCHRONIZATION;

D O I：

10.1016/j.physleta.2017.03.048

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the identification problem of fractional-order chaotic systems is proposed and investigated via an evolutionary optimization approach. Different with other studies to date, this research focuses on the identification of fractional-order chaotic systems with not only unknown orders and parameters, but also unknown initial values and structure. A group of fractional-order chaotic systems, i.e., Lorenz,Lu, Chen, Rossler, Arneodo and Volta chaotic systems, are set as the system candidate pool. The identification problem of fractional-order chaotic systems in this research belongs to mixed integer nonlinear optimization in essence. A powerful evolutionary algorithm called composite differential evolution (CoDE) is introduced for the identification problem presented in this paper. Extensive experiments are carried out to show that the fractional-order chaotic systems with unknown initial values and structure can be successfully identified by means of CoDE. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1943 / 1949

页数：7

共 47 条

[21] Chaos-order transition in foraging behavior of ants [J].