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.
Received: 07 October 2006
Revised: 12 February 2007
Accepted manuscript online:
Fund: 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).
Cite this article:
Liu Xing-Wen(刘兴文), Huang Qin-Zhen(黄勤珍), Gao Xin(高心), and Shao Shi-Quan(邵仕泉) Impulsive control of chaotic systems with exogenous perturbations 2007 Chinese Physics 16 2272
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