Robust synchronization with uniform ultimate bound between two different chaotic systems with uncertainties
Abstract
Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied to prove that under some conditions the drive-response systems can achieve synchronization with uniform ultimate bound even though the bounds of uncertainties are not known exactly in advance. The designed controllers contain only feedback terms and partial nonlinear terms of the systems, and they are easy to implement in practice. The Lorenz system and Chen system are chosen as the illustrative example to verify the validity of the proposed method. Simulation results also show that the present control has good robustness against different kinds of disturbances.
Cite
@article{arxiv.0908.3221,
title = {Robust synchronization with uniform ultimate bound between two different chaotic systems with uncertainties},
author = {Jianping Cai and Zhengzhong Yuan},
journal= {arXiv preprint arXiv:0908.3221},
year = {2009}
}
Comments
14 pages, 8 figures,accepted for publication in International Journal of Modern Physics B