Finite-time sliding mode synchronization of chaotic systems

doi:10.1088/1674-1056/23/10/100504

Abstract A new finite-time sliding mode control approach is presented for synchronizing two different topological structure chaotic systems. With the help of the Lyapunov method, the convergence property of the proposed control strategy is discussed in a rigorous manner. Furthermore, it is mathematically proved that our control strategy has a faster convergence speed than the conventional finite-time sliding mode control scheme. In addition, the proposed control strategy can ensure the finite-time synchronization between the master and the slave chaotic systems under internal uncertainties and external disturbances. Simulation results are provided to show the speediness and robustness of the proposed scheme. It is worth noticing that the proposed control scheme is applicable for secure communications.

Keywords: finite-time control sliding mode control chaos synchronization secure communication

Received: 23 February 2014
Revised: 06 April 2014
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51177117 and 51307130) and the Creative Research Groups Fund of the National Natural Science Foundation of China (Grant No. 51221005).

Corresponding Authors: Ni Jun-Kang,Liu Ling
E-mail: max12391@126.com;liul@mail.xjtu.edu.cn

About author: 05.45.Gg; 05.45.Xt; 05.45.Pq

Cite this article:

Ni Jun-Kang (倪骏康), Liu Chong-Xin (刘崇新), Liu Kai (刘凯), Liu Ling (刘凌) Finite-time sliding mode synchronization of chaotic systems 2014 Chin. Phys. B 23 100504


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