中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3758-3765.doi: 10.1088/1674-1056/18/9/024

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Impulsive control for Takagi--Sugeno fuzzy model with time-delay and its application to chaotic system

彭世国, 禹思敏   

  1. College of Automation, Guangdong University of Technology, Guangzhou 510006, China
  • 收稿日期:2008-11-26 修回日期:2008-12-23 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Guandong Province, China (Grant No 8351009001000002) and the National Natural Science Foundation of China (Grant Nos 60572073 and 60871025).

Impulsive control for Takagi--Sugeno fuzzy model with time-delay and its application to chaotic system

Peng Shi-Guo(彭世国)† and Yu Si-Min(禹思敏)   

  1. College of Automation, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2008-11-26 Revised:2008-12-23 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the Natural Science Foundation of Guandong Province, China (Grant No 8351009001000002) and the National Natural Science Foundation of China (Grant Nos 60572073 and 60871025).

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摘要： A control approach where the fuzzy logic methodology is combined with impulsive control is developed for controlling some time-delay chaotic systems in this paper. We first introduce impulses into each subsystem with delay of the Takagi--Sugeno (TS) fuzzy IF--THEN rules and then present a unified TS impulsive fuzzy model with delay for chaos control. Based on the new model, a simple and unified set of conditions for controlling chaotic systems is derived by the Lyapunov--Razumikhin method, and a design procedure for estimating bounds on control matrices is also given. Several numerical examples are presented to illustrate the effectiveness of this method.

Abstract: A control approach where the fuzzy logic methodology is combined with impulsive control is developed for controlling some time-delay chaotic systems in this paper. We first introduce impulses into each subsystem with delay of the Takagi--Sugeno (TS) fuzzy IF--THEN rules and then present a unified TS impulsive fuzzy model with delay for chaos control. Based on the new model, a simple and unified set of conditions for controlling chaotic systems is derived by the Lyapunov--Razumikhin method, and a design procedure for estimating bounds on control matrices is also given. Several numerical examples are presented to illustrate the effectiveness of this method.

Key words: chaotic system, TS fuzzy model, impulsive control, time delay

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

  • 05.45.Gg
02.30.Yy (Control theory) 05.45.Pq (Numerical simulations of chaotic systems) 07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)