Synchronization of fractional-order Bhalekar-Gejji systems via adaptive backstepping sliding mode control

Jiale Chen; Xiaoshan Zhao; Jingyu Xiao

doi:10.1117/12.2627653

22 April 2022 Synchronization of fractional-order Bhalekar-Gejji systems via adaptive backstepping sliding mode control

Jiale Chen, Xiaoshan Zhao, Jingyu Xiao

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121631E (2022) https://doi.org/10.1117/12.2627653
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

In recent years, Bhalekar-Gejji system has been widely studied for their wealthy dynamic behavior and application background, however, synchronization of fractional-order Bhalekar-Gejji systems has been very little studied. In this paper, the synchronization problem of fractional-order Bhalekar-Gejji system is studied, and the controller and parameter updating method are designed based on fractional calculus theory, backstepping method and adaptive sliding mode control method. Finally, the effectiveness and robustness of the scheme are verified by numerical simulation.

Citation Download Citation

Jiale Chen, Xiaoshan Zhao, and Jingyu Xiao "Synchronization of fractional-order Bhalekar-Gejji systems via adaptive backstepping sliding mode control", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121631E (22 April 2022); https://doi.org/10.1117/12.2627653

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