Abstract

This paper proposes a common control method of three-dimension chaotic system by backstepping method. This method is applied to achieve chaos control for Lorenz, Chen and Lü systems. Based on Lyapunov stability theory and Jacobian matrix, control laws are derived. The greatest advantage of this method is that can be controlled effectively to be stable at any given point with a common linear controller. The results of numerical simulations by Matlab software show the control method is feasibility. And it might be expanded to higher dimension system in the future.

Keywords: Backstepping method, chaotic system, Jacobian matrix, Lyapunov stability theory, numerical simulation, threedimension.