Synchronization of uncertain fractional-order chaotic systems with disturbance based on a fractional terminal sliding mode controller |
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| Authors: | Wang Dong-Feng Zhang Jin-Ying and Wang Xiao-Yan |
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| Affiliation: | Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation (North China Electric Power University), Baoding 071003, China |
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| Abstract: | This paper provides a novel method to synchronize uncertain fractional-order chaotic systems with external disturbance via fractional terminal sliding mode control. Based on Lyapunov stability theory, a new fractional-order switching manifold is proposed, and in order to ensure the occurrence of sliding motion in finite time, a corresponding sliding mode control law is designed. The proposed control scheme is applied to synchronize the fractional-order Lorenz chaotic system and fractional-order Chen chaotic system with uncertainty and external disturbance parameters. The simulation results show the applicability and efficiency of the proposed scheme. |
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| Keywords: | fractional-order chaotic system synchronization terminal sliding mode control uncertainty disturbance |
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