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Synchronization of single-degree-of-freedom oscillators via neural network based on fixed-time terminal sliding mode control scheme

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. School of Engineering, Qufu Normal University, Rizhao, P. R. China

    Haibin Sun

  2. School of Information Science and Engineering, Qufu Normal University, Rizhao, P. R. China

    Linlin Hou

  3. School of Engineering, RMIT University, Melbourne, Australia

    Chaojie Li

Authors
  1. Haibin Sun
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  2. Linlin Hou
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  3. Chaojie Li
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Correspondence to Chaojie Li.

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Sun, H., Hou, L. & Li, C. Synchronization of single-degree-of-freedom oscillators via neural network based on fixed-time terminal sliding mode control scheme. Neural Comput & Applic 31, 6365–6372 (2019). https://doi.org/10.1007/s00521-018-3445-x

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  • DOI: https://doi.org/10.1007/s00521-018-3445-x

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