A projective synchronization scheme based on fuzzy adaptive control for unknown multivariable chaotic systems

被引：45
|
作者：
Boulkroune, A. [1 ]
Bouzeriba, A. [1 ]
Hamel, S. [1 ]
Bouden, T. [2 ]
机构：
[1] Univ Jijel, LAJ Lab, Jijel 18000, Algeria
[2] Univ Jijel, NDT Lab, Jijel 18000, Algeria
来源：
NONLINEAR DYNAMICS | 2014年 / 78卷 / 01期
关键词：
Projective synchronization; Fuzzy systems; Adaptive control; Multivariable chaotic systems; SLIDING MODE CONTROL; NONLINEAR-SYSTEMS; TRACKING CONTROL; TIME; DESIGN;
D O I：
10.1007/s11071-014-1450-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a projective synchronization problem of master-slave chaotic systems is investigated. More specifically, a fuzzy adaptive controller is investigated for a projective synchronization of uncertain multivariable chaotic systems. The adaptive fuzzy-logic systems are used to approximate the unknown functions. A decomposition property of the control gain matrix is used in the controller design and the stability analysis. A Lyapunov approach is employed to derive the parameter adaptation laws and prove the boundedness of all signals of the closed-loop system as well as the exponential convergence of the synchronization errors to an adjustable region. Numerical simulations are performed to verify the effectiveness of the proposed synchronization scheme.
引用
收藏
页码：433 / 447
页数：15
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