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

doi:10.1088/1674-1056/21/8/080505

Abstract In this paper we investigate the synchronization of a class of three-dimensional fractional-order chaotic systems. Based on 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.

Keywords: adaptive control fractional-order chaotic system a single controller

Received: 04 December 2011
Revised: 28 January 2012
Accepted manuscript online:

PACS:

05.45.Xt

(Synchronization; coupled oscillators)

Fund: Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2010000343).

Corresponding Authors: Yang Shi-Ping
E-mail: yangship@mail.hebtu.edu.cn

Cite this article:

Zhang Ruo-Xun (张若洵), Yang Shi-Ping (杨世平) A single adaptive controller with one variable for synchronization of fractional-order chaotic systems 2012 Chin. Phys. B 21 080505

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

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