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Chinese Physics, 2002, Vol. 11(12): 1249-1253    DOI: 10.1088/1009-1963/11/12/306
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Adaptive backstepping control of the uncertain Lü system

Yu Yong-Guang (于永光), Zhang Suo-Chun (张锁春)
Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
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.
Keywords:  uncertain Lü system      adaptive backstepping      chaotic control  
Received:  26 May 2002      Revised:  11 August 2002      Accepted manuscript online: 
PACS:  05.45.Pq (Numerical simulations of chaotic systems)  
  02.30.Hq (Ordinary differential equations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10171099).

Cite this article: 

Yu Yong-Guang (于永光), Zhang Suo-Chun (张锁春) Adaptive backstepping control of the uncertain Lü system 2002 Chinese Physics 11 1249

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