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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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    3. 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.
    4. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    5. Yan-Ping Wu & Guo-Dong Wang, 2013. "Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, March.
    6. Bo Yan & Shaobo He & Shaojie Wang, 2020. "Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control," Complexity, Hindawi, vol. 2020, pages 1-11, December.
    7. 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.
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    Full references (including those not matched with items on IDEAS)

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