Sliding mode synchronization of an uncertain fractional order chaotic system

被引：142

作者：

Hosseinnia, S. H. ^{[2
]}

Ghaderi, R. ^{[2
]}

Ranjbar, A. N. ^{[1
]}

Mahmoudian, M. ^{[2
]}

Momani, S. ^{[3
]}

机构：

[1] Univ Golestan, Golestan, Iran

[2] Babol Noushirvani Univ Technol, Fac Elect & Comp Engn, Intelligent Syst Res Grp, Babol Sar, Iran

[3] Mutah Univ, Dept Mat, Al Karak, Jordan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 05期

关键词：

Fractional derivative; Sliding mode control (SMC); Duffing-Holmes; Synchronization; Chaos; Lyapunov stability analysis; DYNAMICS;

D O I：

10.1016/j.camwa.2009.08.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Synchronization of chaotic and uncertain Duffing-Holmes system has been done using the sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but also a rather simple stability analysis is performed. The latter is usually a complicated task for uncertain nonlinear chaotic systems. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.

引用

页码：1637 / 1643

页数：7

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