Impulsive stability of chaotic systems represented by T-S model

Xiaohong Zhang, Anmar Khadra, Dong Li and Dan Yang

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1863-1869

Abstract: In this paper, a novel and unified control approach that combines intelligent fuzzy logic methodology with impulsive control is developed for controlling a class of chaotic systems. We first introduce impulses into each subsystem of T-S fuzzy IF-THEN rules and then present a unified T-S impulsive fuzzy model for chaos control. Based on the new model, a simple and unified set of conditions for controlling chaotic systems is derived by Lyapunov method techniques and a design procedure for estimating bounds on control matrices is also given. These results are shown to be less conservative than those existing ones in the literature and several numerical examples are presented to illustrate the effectiveness of this method.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1863-1869

DOI: 10.1016/j.chaos.2008.07.052

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