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Fixed-Time Adaptive Fuzzy Anti-Synchronization Control of Hyperchaotic Rössler System Based on Backstepping Method

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Abstract

This paper investigates the fixed-time anti-synchronization problem for a class of hyperchaotic Rössler systems with unknown parameters. Firstly, the backstepping method is used to design controllers. Secondly, the adaptive fuzzy logic systems are introduced to deal with the unknown functions in hyperchaotic Rössler systems. Then, combined with fixed-time theory to achieve the anti-synchronization of the response system and the drive system. It is shown that the proposed control scheme can guarantee that all the state signals of error system are bounded. Finally, theoretical analysis and simulation results demonstrate that the effectiveness of the control scheme.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 62173046, 61773072 and U21A20483, and in part by the Education Department of Liaoning Province under the general project research under Grant No. LJ2020001. (Corresponding author: Huanqing Wang).

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Authors and Affiliations

  1. The College of Mathematical Sciences, Bohai University, Jinzhou, 121000, Liaoning, China

    Yingdong Ai & Huanqing Wang

  2. The School of Intelligent Science and Engineering, Harbin Engineering University, Harbin, 150000, Harbin, China

    Zhiguang Feng

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  1. Yingdong Ai
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Correspondence to Huanqing Wang.

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Ai, Y., Feng, Z. & Wang, H. Fixed-Time Adaptive Fuzzy Anti-Synchronization Control of Hyperchaotic Rössler System Based on Backstepping Method. Int. J. Fuzzy Syst. 25, 2501–2513 (2023). https://doi.org/10.1007/s40815-023-01536-8

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