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Several Control Problems of a Class of Complex Nonlinear Systems Based on UDE

Author

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  • Zuoxun Wang

    (School of Mechanical and Electrical Engineering, Shandong Xiehe University, Jinan 250107, China
    School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

  • Wenzhu Zhang

    (School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

  • Lei Ma

    (School of Mechanical and Electrical Engineering, Shandong Xiehe University, Jinan 250107, China)

  • Guijuan Wang

    (School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250101, China)

Abstract

This paper mainly studies several control problems of a complex 4D chaotic system. Firstly, the real part and imaginary part of the complex 4D chaotic system are separated, and the system is equivalent to a six-dimensional continuous autonomous real chaotic system. Then, the stabilization, synchronization, and anti-synchronization of the complex four-dimensional chaotic system are realized by using the control method of the combination of dynamic feedback gain control and UDE control, and the corresponding physical controllers are designed respectively. Finally, the correctness and effectiveness of the theoretical results are verified by numerical simulation.

Suggested Citation

  • Zuoxun Wang & Wenzhu Zhang & Lei Ma & Guijuan Wang, 2022. "Several Control Problems of a Class of Complex Nonlinear Systems Based on UDE," Mathematics, MDPI, vol. 10(8), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1313-:d:794142
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    References listed on IDEAS

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    2. Jalal, Adnan A. & Amen, Azad I. & Sulaiman, Nejmaddin A., 2020. "Darboux integrability of the simple chaotic flow with a line equilibria differential system," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
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    4. Mahmoud, Emad E. & Abo-Dahab, S.M., 2018. "Dynamical properties and complex anti synchronization with applications to secure communications for a novel chaotic complex nonlinear model," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 273-284.
    5. Huang, Chengdai & Cao, Jinde, 2017. "Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 262-275.
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