Adaptive finite-time control of fractional-order-An System

Zengyue Zhan; Xiaoshan Zhao; Ruilong Yang

doi:10.1117/12.2627809

22 April 2022 Adaptive finite-time control of fractional-order-An System

Zengyue Zhan, Xiaoshan Zhao, Ruilong Yang

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633C (2022) https://doi.org/10.1117/12.2627809
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

Xinlei An first proposed the An-System in 2010, which has been studied by many scholars, but there are few control studies based on the fractional-order An-System. In this paper, by utilizing the fractional calculus theory and adaptive finite time control method, dynamics of the fractional-order An-System are studied. In order to eliminate the chaotic behavior in the An-System, an adaptive finite-time controller is designed. Then we prove its rationality by Chaos Control Theory. Finally, numerical simulation is applied to verify the effectiveness, convergence and robustness of the controller.

Citation Download Citation

Zengyue Zhan, Xiaoshan Zhao, and Ruilong Yang "Adaptive finite-time control of fractional-order-An System", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633C (22 April 2022); https://doi.org/10.1117/12.2627809

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