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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (8): 80505-080505.doi: 10.1088/1674-1056/21/8/080505

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

张若洵^{a b}, 杨世平^a

a College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;
b College of Elementary Education, Xingtai University, Xingtai 054001, China

收稿日期:2011-12-04 修回日期:2012-01-28 出版日期:2012-07-01 发布日期:2012-07-01
基金资助:
Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2010000343).

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

Zhang Ruo-Xun (张若洵)^{a b}, Yang Shi-Ping (杨世平)^a

a College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;
b College of Elementary Education, Xingtai University, Xingtai 054001, China

Received:2011-12-04 Revised:2012-01-28 Online:2012-07-01 Published:2012-07-01
Contact: Yang Shi-Ping E-mail:yangship@mail.hebtu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2010000343).

摘要/Abstract

摘要： 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.

关键词: adaptive control, fractional-order chaotic system, a single controller

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.

Key words: adaptive control, fractional-order chaotic system, a single controller

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

张若洵, 杨世平. A single adaptive controller with one variable for synchronization of fractional-order chaotic systems[J]. 中国物理B, 2012, 21(8): 80505-080505.

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[J]. Chin. Phys. B, 2012, 21(8): 80505-080505.

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

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

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