Adaptive control for a class of chaotic systems with unknown bounded uncertainties

In this paper, a new adaptive control scheme is developed for a class of chaotic systems with unknown bounded uncertainties. Based on Lyapunov stability theory, an adaptive feedback controller is designed for tracking a smooth orbit that can be a limit cycle or a chaotic orbit of another system. Furthermore, it is worthy of note that the proposed adaptive control scheme does not involve any information about the bounds of uncertainties. A numerical example of the Duffing system is included to verify the validity of the proposed scheme. (author)