中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2272-2277.doi: 10.1088/1009-1963/16/8/019

• GENERAL • 上一篇    下一篇

Impulsive control of chaotic systems with exogenous perturbations

刘兴文, 黄勤珍, 高心, 邵仕泉   

  1. School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, China
  • 收稿日期:2006-10-07 修回日期:2007-02-12 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the Key Youth Project of Southwest University for Nationalities of China and the Natural Science Foundation of the State Nationalities Affairs Commission of China (Grant Nos 07XN05 and 05XN07).

Impulsive control of chaotic systems with exogenous perturbations

Liu Xing-Wen(刘兴文)†, Huang Qin-Zhen(黄勤珍), Gao Xin(高心), and Shao Shi-Quan(邵仕泉)   

  1. School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, China
  • Received:2006-10-07 Revised:2007-02-12 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the Key Youth Project of Southwest University for Nationalities of China and the Natural Science Foundation of the State Nationalities Affairs Commission of China (Grant Nos 07XN05 and 05XN07).

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摘要： The impulsive control of chaotic systems, which are subjected to unbounded exogenous perturbations, is considered. By using the theory of impulsive differential equation together with the fuzzy control technique, the authors propose an impulsive robust chaos controlling criterion expressed as linear matrix inequalities (LMIs). Based on the proposed control criterion, the procedure for designing impulsive controllers of common (perturbed) chaotic systems is provided. Finally, a numerical example is given to demonstrate the obtained theoretical result.

Abstract: The impulsive control of chaotic systems, which are subjected to unbounded exogenous perturbations, is considered. By using the theory of impulsive differential equation together with the fuzzy control technique, the authors propose an impulsive robust chaos controlling criterion expressed as linear matrix inequalities (LMIs). Based on the proposed control criterion, the procedure for designing impulsive controllers of common (perturbed) chaotic systems is provided. Finally, a numerical example is given to demonstrate the obtained theoretical result.

Key words: impulsive control law, chaos controlling, linear matrix inequality

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

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)