SIMPLE LMI-BASED SYNCHRONIZATION OF FRACTIONAL-ORDER CHAOTIC SYSTEMS

被引：3
|
作者：
Kuntanapreeda, Suwat [1 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Fac Engn, Dept Mech & Aerosp Engn, Bangkok 10800, Thailand
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2013年 / 23卷 / 01期
关键词：
Chaos synchronization; fractional-order chaotic systems; linear control; linear matrix inequality (LMI); LORENZ SYSTEM; HYPERCHAOS;
D O I：
10.1142/S0218127413500119
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a simple scheme for synchronization of fractional-order chaotic systems. The scheme utilizes a recently developed LMI (Linear matrix inequality) stabilization theorem for fractional-order linear interval systems to design a linear controller. In contrast to existing schemes in the literature, the present scheme is straightforward and does not require that non-linear parts of synchronization error dynamics are cancelled by the controller. The fractional-order Rossler, Lorenz, and hyperchaotic Chen systems are used as demonstrative examples. Numerical results illustrate the effectiveness of the present scheme.
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页数：13
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