Synchronization of Chaotic Fractional-Order WINDMI Systems via Linear State Error Feedback Control

被引：12
|
作者：
Xin, Baogui [1 ,2 ]
Chen, Tong [1 ]
Liu, Yanqin [1 ,3 ]
机构：
[1] Tianjin Univ, Nonlinear Dynam & Chaos Grp, Sch Management, Tianjin 300072, Peoples R China
[2] Shandong Univ Sci & Technol, Ctr Appl Math, Sch Econ & Management, Qingdao 266510, Peoples R China
[3] Dezhou Univ, Dept Math, Dezhou 253023, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010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：
MODEL;
D O I：
10.1155/2010/859685
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We propose a fractional-order WINDMI system, as a generalization of an integer-order system developed by Sprott (2003). The considered synchronization scheme consists of identical master and slave fractional-order WINDMI systems coupled by linear state error variables. Based on the stability theory of nonlinear fractional-order systems, linear state error feedback control technique is applied to achieve chaos synchronization, and a linear control law is derived analytically to achieve synchronization of the chaotic fractional-order WINDMI system. Numerical simulations validate the main results of this work.
引用
收藏
页数：10
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