Global stabilization of a Lorenz system

In this paper, using feedback linearizing technique, we show that a Lorenz system can be considered as a cascade system. Moreover, this system satisfies the assumptions of global stabilization of cascade systems. Thus continuous state feedback control laws are proposed to globally stabilize the Lorenz system at the equilibrium point. Simulation results are presented to verify our method. This method can be further generalized to other chaotic systems such as Chen system,coupled dynamos system, etc.