A novel fractional-order hyperchaotic system stabilization via fractional sliding-mode control

被引：53
作者：
Yang, Ningning [1 ,2 ]
Liu, Chongxin [1 ,2 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Elect Engn, Xian 710049, Peoples R China
[2] Xi An Jiao Tong Univ, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
来源：
NONLINEAR DYNAMICS | 2013年 / 74卷 / 03期
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
Hyperchaos; The minimum order; Fractional-order sliding-mode control; Numerical simulation; ADAPTIVE SYNCHRONIZATION; CHAOS; ATTRACTOR; SCHEME;
D O I：
10.1007/s11071-013-1000-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper we numerically investigate the fractional-order sliding-mode control for a novel fractional-order hyperchaotic system. Firstly, the dynamic analysis approaches of the hyperchaotic system involving phase portraits, Lyapunov exponents, bifurcation diagram, Lyapunov dimension, and Poincar, maps are investigated. Then the fractional-order generalizations of the chaotic and hyperchaotic systems are studied briefly. The minimum orders we found for chaos and hyperchaos to exist in such systems are 2.89 and 3.66, respectively. Finally, the fractional-order sliding-mode controller is designed to control the fractional-order hyperchaotic system. Numerical experimental examples are shown to verify the theoretical results.
引用
收藏
页码：721 / 732
页数：12
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