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Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems

Author

Listed:
  • Khalid A. Alattas

    (Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23890, Saudi Arabia)

  • Javad Mostafaee

    (Future Technology Research Center, National Yunlin University of Science and Technology, Yunlin, Douliou 64002, Taiwan)

  • Aceng Sambas

    (Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, Indonesia)

  • Abdullah K. Alanazi

    (Department of Chemistry, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

  • Saleh Mobayen

    (Future Technology Research Center, National Yunlin University of Science and Technology, Yunlin, Douliou 64002, Taiwan)

  • Mai The Vu

    (School of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, Korea)

  • Anton Zhilenkov

    (Department of Cyber-Physical Systems, St. Petersburg State Marine Technical University, 190121 Saint-Petersburg, Russia)

Abstract

In this study, the synchronization problem of chaotic systems using integral-type sliding mode control for a category of hyper-chaotic systems is considered. The proposed control method can be used for an extensive range of identical/non-identical master-slave structures. Then, an integral-type dynamic sliding mode control scheme is planned to synchronize the hyper-chaotic systems. Using the Lyapunov stability theorem, the recommended control procedure guarantees that the master-slave hyper-chaotic systems are synchronized in the existence of uncertainty as quickly as possible. Next, in order to prove the new proposed controller, the master-slave synchronization goal is addressed by using a new six-dimensional hyper-chaotic system. It is exposed that the synchronization errors are completely compensated for by the new control scheme which has a better response compared to a similar controller. The analog electronic circuit of the new hyper-chaotic system using MultiSIM is provided. Finally, all simulation results are provided using MATLAB/Simulink software to confirm the success of the planned control method.

Suggested Citation

  • Khalid A. Alattas & Javad Mostafaee & Aceng Sambas & Abdullah K. Alanazi & Saleh Mobayen & Mai The Vu & Anton Zhilenkov, 2021. "Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems," Mathematics, MDPI, vol. 10(1), pages 1-21, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:115-:d:715339
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    References listed on IDEAS

    as
    1. Chih-Hsueh Lin & Chia-Wei Ho & Guo-Hsin Hu & Baswanth Sreeramaneni & Jun-Juh Yan, 2021. "Secure Data Transmission Based on Adaptive Chattering-Free Sliding Mode Synchronization of Unified Chaotic Systems," Mathematics, MDPI, vol. 9(21), pages 1-11, October.
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    Cited by:

    1. Yassine Bouteraa & Javad Mostafaee & Mourad Kchaou & Rabeh Abbassi & Houssem Jerbi & Saleh Mobayen, 2022. "A New Simple Chaotic System with One Nonlinear Term," Mathematics, MDPI, vol. 10(22), pages 1-17, November.

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    1. Khalid A. Alattas & Javad Mostafaee & Abdullah K. Alanazi & Saleh Mobayen & Mai The Vu & Anton Zhilenkov & Hala M. Abo-Dief, 2021. "Nonsingular Terminal Sliding Mode Control Based on Adaptive Barrier Function for n th -Order Perturbed Nonlinear Systems," Mathematics, MDPI, vol. 10(1), pages 1-15, December.

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