Adaptive synchronization of uncertain chaotic systems via switching mechanism

doi:10.1088/1674-1056/19/12/120504

Abstract This paper deals with the problem of synchronization for a class of uncertain chaotic systems. The uncertainties under consideration are assumed to be Lipschitz-like nonlinearity in tracking error, with unknown growth rate. A logic-based switching mechanism is presented for tracking a smooth orbit that can be a limit cycle or a chaotic orbit of another system. Based on the Lyapunov approach, the adaptation law is determined to tune the controller gain vector online according to the possible nonlinearities. To demonstrate the efficiency of the proposed scheme, the well-known chaotic system namely Chua's circuit is considered as an illustrative example.

Keywords: chaos synchronization adaptive synchronization switching mechanism

Received: 28 February 2010
Revised: 14 May 2010
Accepted manuscript online:

PACS:

05.45.Xt

(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60974004).

Cite this article:

Feng Yi-Fu(冯毅夫) and Zhang Qing-Ling(张庆灵) Adaptive synchronization of uncertain chaotic systems via switching mechanism 2010 Chin. Phys. B 19 120504

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