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Journal of Applied Mathematics
Volume 2012, Article ID 607491, 16 pages
Research Article

Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties

Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, China

Received 10 April 2012; Revised 20 July 2012; Accepted 22 July 2012

Academic Editor: Laurent Gosse

Copyright © 2012 Yun-An Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the finite-time synchronization problem for two different chaotic systems with parameter uncertainties. Using finite-time control approach and robust control method, an adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. On the basis of Lyapunov stability theory, appropriate adaptive laws are derived to deal with the unknown parameters of the systems. And the convergence of the parameter errors is guaranteed in a finite time. The proposed method can be applied to a variety of chaos systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.