Synchronizing chaotic systems using backstepping design

Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller. In this paper it is proposed for synchronizing chaotic systems. There are several advantages in this method for synchronizing chaotic systems: (a) it presents a systematic procedure for selecting a proper controller in chaos synchronization; (b) it can be applied to a variety of chaotic systems whether they contain external excitation or not; (c) it needs only one controller to realize synchronization between chaotic systems; (d) there is no derivatives in controller, so it is easy to be complemented. Examples of Lorenz system, Chua’s circuit and Duffing system are presented.