Abstract 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.
Received: 16 September 2002
Revised: 30 December 2002
Accepted manuscript online:
Fund: Project supported by the National Climbing Program of China (Grant No 970211017) and the National Natural Science Foundation of China (Grant No 69974009).
Cite this article:
Li Shi-Hua (李世华), Tian Yu-Ping (田玉平) Global stabilization of a Lorenz system 2003 Chinese Physics 12 590
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