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Command Filtered Adaptive Backstepping Fuzzy Synchronization Control of Uncertain Fractional Order Chaotic Systems with External Disturbance

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Abstract

In this paper, aim to synchronize uncertain fractional order chaotic systems with disturbances, a command filter adaptive fuzzy backstepping control method is proposed. A fractional order command filter is designed to solve the explosion of complexity problem in the backstepping framework. In particular, an error compensation signal is devised to reduce the filter error and improve the synchronization accuracy. Meanwhile, in the design of backstepping scheme, fuzzy logic systems are utilized to estimate unknown functions. Based on the Lyapunov stability criterion, the synchronization error can be ensured to ultimately converge to a small neighborhood near zero. Finally, a numerical simulation is given to verify the effectiveness and accuracy of the proposed scheme.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 12172166, and the Guangxi Science and Technology Program under Grant No. AD23023001.

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Authors and Affiliations

  1. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Xiulan Zhang

  2. School of Mathematics and Physics, Center of Guangxi Applied Mathematics, Guangxi Minzu University, Nanning, 530006, China

    Hanlin Dong

  3. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Fangqi Chen

  4. Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA) MIIT, Nanjing, China

    Fangqi Chen

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  1. Xiulan Zhang
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  2. Hanlin Dong
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Correspondence to Fangqi Chen.

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Zhang, X., Dong, H. & Chen, F. Command Filtered Adaptive Backstepping Fuzzy Synchronization Control of Uncertain Fractional Order Chaotic Systems with External Disturbance. Int. J. Fuzzy Syst. (2024). https://doi.org/10.1007/s40815-024-01692-5

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