中国物理B ›› 2002, Vol. 11 ›› Issue (12): 1249-1253.doi: 10.1088/1009-1963/11/12/306

• GENERAL • 上一篇    下一篇

Adaptive backstepping control of the uncertain Lü system

于永光, 张锁春   

  1. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2002-05-26 修回日期:2002-08-11 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10171099).

Adaptive backstepping control of the uncertain Lü system

Yu Yong-Guang (于永光), Zhang Suo-Chun (张锁春)   

  1. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2002-05-26 Revised:2002-08-11 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10171099).

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摘要： In this paper we investigate further the method for controlling the uncertain Lü system via adaptive backstepping. The Lü system is transformed into the so-called general strict-feedback form. Then a novel control method is designed for controlling the uncertain Lü system. Especially, this method can overcome the singularity problem. Numerical simulations show the effectiveness and feasibility of this approach.

Abstract: In this paper we investigate further the method for controlling the uncertain Lü system via adaptive backstepping. The Lü system is transformed into the so-called general strict-feedback form. Then a novel control method is designed for controlling the uncertain Lü system. Especially, this method can overcome the singularity problem. Numerical simulations show the effectiveness and feasibility of this approach.

Key words: uncertain Lü system, adaptive backstepping, chaotic control

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
02.30.Hq (Ordinary differential equations)