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

共 60 条

[1] Comments on "H∞ synchronization of uncertain fractional order chaotic systems: Adaptive fuzzy approach" [ISA Trans 50 (2011) 548-556] [J].

Aghababa, Mohammad Pourmahmood .

ISA TRANSACTIONS, 2012, 51 (01) :11-12

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3] FRACTIONAL ORDER STATE-EQUATIONS FOR THE CONTROL OF VISCOELASTICALLY DAMPED STRUCTURES [J].

BAGLEY, RL ;

CALICO, RA .

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (02) :304-311

[4] How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems [J].

Boulkroune, A. ;

Tadjine, M. ;

M'Saad, M. ;

Farza, M. .

FUZZY SETS AND SYSTEMS, 2008, 159 (08) :926-948

[5] A projective synchronization scheme based on fuzzy adaptive control for unknown multivariable chaotic systems [J].

Boulkroune, A. ;

Bouzeriba, A. ;

Hamel, S. ;

Bouden, T. .

NONLINEAR DYNAMICS, 2014, 78 (01) :433-447

[6] On the design of observer-based fuzzy adaptive controller for nonlinear systems with unknown control gain sign [J].

Boulkroune, A. ;

M'saad, M. .

FUZZY SETS AND SYSTEMS, 2012, 201 :71-85

[7] Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities [J].

Boulkroune, A. ;

M'Saad, M. ;

Farza, M. .

FUZZY SETS AND SYSTEMS, 2011, 164 (01) :45-65

[8] Fuzzy adaptive observer-based projective synchronization for nonlinear systems with input nonlinearity [J].

Boulkroune, Abdesselem ;

M'saad, Mohammed .

JOURNAL OF VIBRATION AND CONTROL, 2012, 18 (03) :437-450

[9] Chaos synchronization and duration time of a class of uncertain chaotic systems [J].

Bowong, Samuel ;

Kakmeni, Moukam ;

Koina, Rodoumta .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2006, 71 (03) :212-228

[10]

Carpinteri A., 1997, Fractals and Fractional Calculus in Continuum Mechanics

← 1 2 3 4 5 6 →