Abstract
The fuzzy control of fractal-order chaotic systems are studied. Firstly, according to the T-S fuzzy modeling theory, the fractional order unified chaotic system is reconstructed by T-S fuzzy modeling. Secondly, the steady-state performance of Fractional-order unified chaotic systems is discussed by using Lyapunov stability theory. Then, a Fractional-order Non-fragile fuzzy controller is designed according to the linear matrix inequality (LMI) method. Finally, a simulation example is given to verify the effectiveness of the controller.
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