Nonlinear feedback control for the Lorenz system

The Lorenz system is well known for its ability to produce chaotic motion a nd the control problem of this system has attracted much attention in recen t years. In this paper, control of the Lorenz chaotic systems based on a no nlinear feedback technique is presented. The objective of control is two-fo ld: one is to drive the system to one of equilibrium points associated with uncontrolled chaotic motion and the other is to let one of the closed-loop system states track a given signal. The controllers designed here are base d on exact linearization theory of nonlinear systems and can regulate the c losed-loop system states globally to a given point. Finally, illustrative e xamples show the effectiveness of the proposed design method.