Journal
NONLINEAR DYNAMICS
Volume 100, Issue 2, Pages 1275-1287Publisher
SPRINGER
DOI: 10.1007/s11071-020-05574-x
Keywords
Fractional-order system; Fuzzy neural network; Chaos synchronization; Sliding mode control
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This paper deals with chaos synchronization problem between two different uncertain fractional-order (FO) chaotic systems with disturbance based on FO Lyapunov stability analysis method. A T-S fuzzy neural network model as a universal approximator is constructed to approximate those uncertain terms and unknown parameters. An adaptive sliding mode control scheme is established, and the adaptive sliding mode control design procedure is proposed, which not only guarantees the stability and robustness of the proposed control method, but also guarantees that the external disturbance on the synchronization error can be attenuated. Finally, simulation results show applicability and feasibility of the proposed control strategy.
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