Synchronization of single-degree-of-freedom oscillators via neural network based on fixed-time terminal sliding mode control scheme
- 71 Downloads
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.
KeywordsOscillators Synchronization Non-singular fixed-time control Sliding mode control Neural network Adaptive control
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).
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interests.
- 16.Yuan J, Shi B, Xiu G (2016) Sliding control for single-degree-of-freedom fractional oscillators. arXiv preprint arXiv:1608.04850
- 32.Bhat SP, Bernstein DS (1995) Lyapunov analysis of finite-time differential equations. In: Proceedings of the American control conference, 1831–1832Google Scholar