中国物理B ›› 2003, Vol. 12 ›› Issue (6): 590-593.doi: 10.1088/1009-1963/12/6/303

• GENERAL • 上一篇    下一篇

Global stabilization of a Lorenz system

李世华, 田玉平   

  1. Department of Automatic Control, Southeast University, Nanjing 210096, China
  • 收稿日期:2002-09-16 修回日期:2002-12-30 出版日期:2005-03-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Climbing Program of China (Grant No 970211017) and the National Natural Science Foundation of China (Grant No 69974009).

Global stabilization of a Lorenz system

Li Shi-Hua (李世华), Tian Yu-Ping (田玉平)   

  1. Department of Automatic Control, Southeast University, Nanjing 210096, China
  • Received:2002-09-16 Revised:2002-12-30 Online:2005-03-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Climbing Program of China (Grant No 970211017) and the National Natural Science Foundation of China (Grant No 69974009).

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摘要： 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.

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.

Key words: control of chaos, Lorenz system, global stabilization

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)