Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (12): 1437-1442.

• 论文 • 上一篇    

CONTROLLING Lü-SYSTEM USING PARTIAL LINEARIZATION

于永光1, 张锁春2   

  1. 1. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China;
    2. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China
  • 收稿日期:2002-01-25 修回日期:2004-06-29 出版日期:2004-12-18 发布日期:2004-12-18
  • 基金资助:

    the National Natural Science Foundation of China (10171099)

CONTROLLING Lü-SYSTEM USING PARTIAL LINEARIZATION

YU Yong-guang1, ZHANG Suo-chun 2   

  1. 1. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China;
    2. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China
  • Received:2002-01-25 Revised:2004-06-29 Online:2004-12-18 Published:2004-12-18
  • Supported by:

    the National Natural Science Foundation of China (10171099)

摘要: Partial linearization method is proposed for controlling Lü-system.Through partially cancelling the nonlinear cross-coupling terms the stabilization of the resulting system was realized.This method can be easily realized.The robust behavior was proved with respect to an uncertain system.Numerical simulation are provided to show the effectiveness and feasibility of the method.

Abstract: Partial linearization method is proposed for controlling Lü-system.Through partially cancelling the nonlinear cross-coupling terms the stabilization of the resulting system was realized.This method can be easily realized.The robust behavior was proved with respect to an uncertain system.Numerical simulation are provided to show the effectiveness and feasibility of the method.

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