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.
Received: 26 November 2008
Revised: 23 December 2008
Accepted manuscript online:
Fund: 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).
Cite this article:
Peng Shi-Guo(彭世国) and Yu Si-Min(禹思敏) Impulsive control for Takagi--Sugeno fuzzy model with time-delay and its application to chaotic system 2009 Chin. Phys. B 18 3758
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