In this paper, the synchronization problem is investigated for two single-degree-of-freedom oscillators via neural network based on fixed-time terminal sliding mode control. First, a fixed-time terminal sliding mode is constructed. Then, in order to deal with the unknown function in master system, the neural network technique is introduced. Combining fixed-time terminal sliding mode surface and adaptive control scheme plus neural network technique, an adaptive fixed-time terminal sliding mode controller is presented. The stability of the closed-loop system is analyzed. Finally, simulation results are provided to demonstrate the effectiveness of the proposed two control strategies.
Oscillators Synchronization Non-singular fixed-time control Sliding mode control Neural network Adaptive control
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This work was supported in part by the National natural Science Foundation of China (Nos. 61773236, 61773235), and the Postdoctoral Science Foundation of China (2017M612236, 2017M611222).
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Conflict of interest
The authors declare that they have no conflict of interests.
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