Backstepping synchronization of uncertain chaotic systems by a single driving variable
Lü Ling(吕翎)a)b)†, Zhang Qing-Ling(张庆灵)a), and Guo Zhi-An(郭治安)c)
aInstitute of System Science, Northeastern University, Shenyang 110004, China; bCollege of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; cDepartment of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China
Abstract In this paper a parameter observer and a synchronization controller are designed to synchronize unknown chaotic systems with diverse structures. Based on stability theory the structures of the observer and the controller are presented. The unknown Coullet system and Rossler system are taken for examples to demonstrate that the method is effective and feasible. The artificial simulation results show that global synchronization between the unknown Coullet system and the Rossler system can be achieved by a single driving variable with co-operation of the observer and the controller, and all parameters of the Coullet system can be identified at the same time.
Received: 16 January 2007
Revised: 21 May 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 60574011).
Cite this article:
Lü Ling(吕翎), Zhang Qing-Ling(张庆灵), and Guo Zhi-An(郭治安) Backstepping synchronization of uncertain chaotic systems by a single driving variable 2008 Chin. Phys. B 17 498
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