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Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance

Author

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  • Rongwei Guo

    (School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

  • Yaru Zhang

    (School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

  • Cuimei Jiang

    (School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
    Shandong Computer Science Center (National Supercomputer Center in Jinan), Shandong Artificial Intelligence Institute, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250101, China)

Abstract

This paper is concerned with complete synchronization of fractional-order chaotic systems with both model uncertainty and external disturbance. Firstly, we propose a new dynamic feedback control method for complete synchronization of fractional-order nominal systems (without both uncertainty and disturbance). Then, a new uncertainty and disturbance estimator (UDE)-based dynamic feedback control method for the fractional-order systems with both uncertainty and disturbance is presented, by which the synchronization problem of such fractional-order chaotic systems is realized. Finally, the fractional-order Lorenz system is used to demonstrate the practicability of the proposed results.

Suggested Citation

  • Rongwei Guo & Yaru Zhang & Cuimei Jiang, 2021. "Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance," Mathematics, MDPI, vol. 9(8), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:877-:d:537231
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    References listed on IDEAS

    as
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    4. Yong Xu & Hua Wang, 2013. "Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, November.
    5. Yu, Yongguang & Li, Han-Xiong & Wang, Sha & Yu, Junzhi, 2009. "Dynamic analysis of a fractional-order Lorenz chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1181-1189.
    6. Heng Liu & Ye Chen & Guanjun Li & Wei Xiang & Guangkui Xu, 2017. "Adaptive Fuzzy Synchronization of Fractional-Order Chaotic (Hyperchaotic) Systems with Input Saturation and Unknown Parameters," Complexity, Hindawi, vol. 2017, pages 1-16, November.
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