中国物理B ›› 2006, Vol. 15 ›› Issue (11): 2549-2552.doi: 10.1088/1009-1963/15/11/015

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Controlling chaos using Takagi--Sugeno fuzzy model and adaptive adjustment

郑永爱   

  1. Department of Computer, College of Information Engineering,Yangzhou University, Yangzhou225009, China
  • 收稿日期:2006-04-03 修回日期:2006-07-10 出版日期:2006-11-20 发布日期:2006-11-20
  • 基金资助:
    Project supported bythe Natural Science Foundation of Yangzhou University of China (Grant No KK0513109).

Controlling chaos using Takagi--Sugeno fuzzy model and adaptive adjustment

Zheng Yong-Ai(郑永爱)   

  1. Department of Computer, College of Information Engineering, Yangzhou University, Yangzhou 225009, China
  • Received:2006-04-03 Revised:2006-07-10 Online:2006-11-20 Published:2006-11-20
  • Supported by:
    Project supported bythe Natural Science Foundation of Yangzhou University of China (Grant No KK0513109).

摘要: In this paper, an approach to the control of continuous-time chaotic systems is proposed using the Takagi--Sugeno (TS) fuzzy model and adaptive adjustment. Sufficient conditions are derived to guarantee chaos control from Lyapunov stability theory. The proposed approach offers a systematic design procedure for stabilizing a large class of chaotic systems in the literature about chaos research. The simulation results on R\"{o}ssler's system verify the effectiveness of the proposed methods.

Abstract: In this paper, an approach to the control of continuous-time chaotic systems is proposed using the Takagi--Sugeno (TS) fuzzy model and adaptive adjustment. Sufficient conditions are derived to guarantee chaos control from Lyapunov stability theory. The proposed approach offers a systematic design procedure for stabilizing a large class of chaotic systems in the literature about chaos research. The simulation results on R?ssler's system verify the effectiveness of the proposed methods.

Key words: controlling chaos, adaptive adjustment mechanism, Rössler system, TS fuzzy model

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a