Synchronization of Chaotic Fractional-Order WINDMI Systems via Linear State Error Feedback Control-Reference-Cited by-同舟云学术

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

Published:2010 Issue: Volume:2010 Page:1-10
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Xin Baogui¹²,Chen Tong¹,Liu Yanqin¹³

Affiliation:

1. Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, China

2. Center for Applied Mathematics, School of Economics and Management, Shandong University of Science and Technology, Qingdao 266510, China

3. Department of Mathematics, Dezhou University, Dezhou 253023, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2010/859685.pdf

Reference29 articles.

1. Chaos and the limits of predictability for the solar-wind-driven magnetosphere–ionosphere system

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