Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach

doi:10.1088/1674-1056/19/4/040507

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40507-040507.doi: 10.1088/1674-1056/19/4/040507

Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach

魏伟¹, 王京¹, 李东海²

(1)School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China; (2)State Key Lab of Power Systems, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China

收稿日期:2009-11-12 修回日期:2009-12-10 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2007CB210106).

Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach

Wei Wei(魏伟)^a)^†, Li Dong-Hai(李东海)^b), and Wang Jing(王京)^a)

^a School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China; ^b State Key Lab of Power Systems, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China

Received:2009-11-12 Revised:2009-12-10 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2007CB210106).

摘要/Abstract

摘要： The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems.

Abstract: The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems.

Key words: hyperchaotic Chen systems, adaptive synchronization, cascade adaptive synchronization, synchronous speed

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)

魏伟, 李东海, 王京. Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach[J]. 中国物理B, 2010, 19(4): 40507-040507.

Wei Wei(魏伟), Li Dong-Hai(李东海), and Wang Jing(王京). Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach[J]. Chin. Phys. B, 2010, 19(4): 40507-040507.

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Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach

Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach

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