Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control

被引：73

作者：

Chen, Diyi ^{[1
]}

Zhang, Runfan ^{[1
]}

Sprott, Julien Clinton ^{[2
]}

Ma, Xiaoyi ^{[1
]}

机构：

[1] NW A&F Univ, Dept Elect Engn, Yangling 712100, Shaanxi, Peoples R China

[2] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

NONLINEAR DYNAMICS | 2012年 / 70卷 / 02期

关键词：

Chaos synchronization; Integer-order chaotic system; Fractional-order chaotic system; Fuzzy sliding mode control; DYNAMICS;

D O I：

10.1007/s11071-012-0555-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we focus on the synchronization between integer-order chaotic systems and a class of fractional-order chaotic system using the stability theory of fractional-order systems. A new fuzzy sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions. Furthermore, three examples are presented to illustrate the effectiveness of the proposed scheme, which are the synchronization between a fractional-order Lu chaotic system and an integer-order Liu chaotic system, the synchronization between a fractional-order hyperchaotic system based on Chen's system and an integer-order hyperchaotic system based upon the Lorenz system, and the synchronization between a fractional-order hyperchaotic system based on Chen's system, and an integer-order Liu chaotic system. Finally, numerical results are presented and are in agreement with theoretical analysis.

引用

页码：1549 / 1561

页数：13

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