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Adaptive fuzzy sliding mode control schemes are proposed for tracking time-various trajectories in this paper. There are two main structures in the proposed control schemes: one is the sliding mode controller and the other is the adaptive fuzzy schemes. The sliding mode controller ensures the Lyapunov stability of the system, if the reference signal and all signals involved are bound. Next, the adaptive fuzzy schemes can improve chattering and delay phenomena in the sliding mode control system. Finally, simulation results confirm that the proposed adaptive fuzzy sliding mode control schemes can track time-various trajectories quickly and accurately.