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

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.