A single adaptive controller with one variable for synchronization of fractional-order chaotic systems

In this paper we investigate the synchronization of a class of three-dimensional fractional-order chaotic systems. Based on the Lyapunov stability theory and adaptive control technique, a single adaptive-feedback controller is developed to synchronize a class of fractional-order chaotic systems. The...

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Bibliographic Details
Published in:Chinese physics B 2012-08, Vol.21 (8), p.96-102
Main Author: 张若洵 杨世平
Format: Article
Language:English
Subjects:
Chaos theory
Circuits
Computer simulation
Controllers
Design engineering
Lyapunov稳定性理论
Mathematical models
Synchronism
Synchronization
Three dimensional
分数阶
反馈控制器
同步
混沌系统
电路实验
自适应控制器
自适应控制技术
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Summary:In this paper we investigate the synchronization of a class of three-dimensional fractional-order chaotic systems. Based on the Lyapunov stability theory and adaptive control technique, a single adaptive-feedback controller is developed to synchronize a class of fractional-order chaotic systems. The presented controller which only contains a single driving variable is simple both in design and in implementation. Numerical simulation and circuit experimental results for fractional-order chaotic system are provided to illustrate the effectiveness of the proposed scheme.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/8/080505