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

页码：893 / 908

页数：16

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