Journal of Applied Mathematics
Volume 2013 (2013), Article ID 501421, 8 pages
Research Article

Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances

1Centre for High Performance Computing, Northwestern Polytechnical University, Xi’an 710072, China
2Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China

Received 15 January 2013; Accepted 21 April 2013

Academic Editor: J. Liang

Copyright © 2013 Xiuchun Li 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.


Considering the effects of external perturbations on the state vector and the output of the original system, this paper proposes a new adaptive integral observer method to deal with chaos synchronization between the drive and response systems with unknown parameters. The analysis and proof are given by means of the Lyapunov stability theorem and Barbalat lemma. This approach has fewer constraints because many parameters related to chaotic system can be unknown, as shown in the paper. Numerical simulations are performed in the end and the results show that the proposed method is not only suitable to the representative chaotic systems but also applied to some neural network chaotic systems.