Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems

被引：36
|
作者：
Bouzeriba, A. [1 ,2 ]
Boulkroune, A. [1 ]
Bouden, T. [2 ]
机构：
[1] Univ Jijel, LAJ, BP 98 Ouled Aissa, Jijel 18000, Algeria
[2] Univ Jijel, NDT, BP 98, Jijel 18000, Algeria
来源：
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2016年 / 7卷 / 05期
关键词：
Adaptive fuzzy control; Fractional-order; Chaos synchronization; Chaotic systems; H-INFINITY SYNCHRONIZATION; SLIDING MODE CONTROL; PROJECTIVE SYNCHRONIZATION; DIFFERENTIAL-EQUATIONS; PHASE SYNCHRONIZATION; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; OSCILLATORS; TIME; HYPERCHAOS;
D O I：
10.1007/s13042-015-0425-7
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with the issue of projective synchronization of two distinct fractional-order chaotic systems with the presence of both uncertain dynamics and external disturbances. More precisely, this study is an attempt to investigate a novel fuzzy adaptive controller for achieving an appropriate projective synchronization of uncertain fractional-order chaotic systems. The adaptive fuzzy systems are utilized to online estimate unknown system nonlinearities. The proposed controller, which is derived based on a Lyapunov approach, is continuous and ensures the stability of the closed-loop system and the exponential convergence of the underlying synchronization errors to a small residual set. Finally, three simulation examples are provided to verify the effectiveness of the proposed synchronization method.
引用
收藏
页码：893 / 908
页数：16
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