Adaptive synchronization of uncertain chaotic systems via switching mechanism
Feng Yi-Fu(冯毅夫)a)†ger and Zhang Qing-Ling(张庆灵)b)
a School of Mathematics, Jilin Normal University, Siping 136000, China; b Institute of Systems Science, Northeastern University, Shenyang 110819, China
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.
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