J. Fang, M. Lou, and E. Jonckheere (USA)
Modeling, tracking control, synchronization, fuzzy inference, variable coefficient nonlinear ordinary differential equation.
In this paper, we propose a novel method for modeling, tracking control and synchronization of chaotic systems by using fuzzy inference. The model of the unknown chaotic system is obtained by the fuzzy inference rules which is transferred into a type of variable coefficient nonlinear ordinary differential equation by means of the interpolation mechanism. Then a fuzzy tracking control and a fuzzy synchronization for chaotic systems is proposed as well. First, a known tracking control for the chaotic system is used in this paper. We represent the controlled chaotic system into fuzzy inference rules. Then the variable coefficient nonlinear ordinary differential equation is also got. Simulation results on Rossler’s chaotic system show that such an approach is effective and has a high precision.
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