The synchronization of two fractional-order complex chaotic systems is discussed in this paper. The parameter uncertainty and\nexternal disturbance are included in the system model, and the synchronization of the considered chaotic systems is implemented\nbased on the finite-time concept. First, a novel fractional-order nonsingular terminal sliding surface which is suitable for the\nconsidered fractional-order systems is proposed. It is proven that once the state trajectories of the system reach the proposed\nsliding surface they will converge to the origin within a given finite time. Second, in terms of the established nonsingular terminal\nsliding surface, combining the fuzzy control and the slidingmode control schemes, a novel robust single fuzzy slidingmode control\nlaw is introduced, which can force the closed-loop dynamic error system trajectories to reach the sliding surface over a finite time.\nFinally, using the fractional Lyapunov stability theorem, the stability of the proposed method is proven.The proposed method is\nimplemented for synchronization of two fractional-order Genesio-Tesi chaotic systems with uncertain parameters and external\ndisturbances to verify the effectiveness of the proposed fractional-order nonsingular terminal fuzzy sliding mode controller.
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