Abstract The synchronization of Chua's system, whose inputs include an unknown constant parameter, is studied in this paper. A constructive method is applied to designing an adaptive controller, in which only one variable information of the master system is needed. With the action of control signals, the parameter of the slave system will approach the corresponding unknown parameter in the master system. At the same time, the synchronization errors will also converge to zero asymptotically. Numerical simulations show that the proposed theoretical approach is very effective.
Received: 25 July 2005
Revised: 27 February 2006
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60502009).
Cite this article:
Zhang Jian (张 健), Xu Hong-Bing (徐红兵), Wang Hou-Jun (王厚军) Adaptive synchronization of Chua's system with uncertain inputs 2006 Chinese Physics 15 953
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