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Circuit simulation on control and synchronization of fractional order switching chaotic system

Author

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  • Huang, Li-Lian
  • Zhang, Juan
  • Shi, Shuai-Shuai

Abstract

In view of obtaining a larger key space and thus improve the level of security attainable in chaotic communication, this paper examines the dynamics of a switched, fractional-order chaotic system. Taking the fractional-order Chen system as a starting point, the dynamics of a modified version of that system is examined, and the composed system is hereafter realized by allowing switching between the two different subsystems. Our work first demonstrates how fractional-order chaotic systems can be realized physically. For the fractional-order switching chaotic system, a linear feedback controller and a number of synchronization schemes are designed. Our simulations show that control and synchronization of the individual subsystems can be achieved with the same feedback and synchronization controller.

Suggested Citation

  • Huang, Li-Lian & Zhang, Juan & Shi, Shuai-Shuai, 2015. "Circuit simulation on control and synchronization of fractional order switching chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 113(C), pages 28-39.
    • Handle: RePEc:eee:matcom:v:113:y:2015:i:c:p:28-39
    DOI: 10.1016/j.matcom.2015.03.001
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    Cited by:

    1. Prants, Fabiola G. & Rech, Paulo C., 2017. "Complex dynamics of a three-dimensional continuous-time autonomous system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 136(C), pages 132-139.
    2. Muñoz-Vázquez, Aldo Jonathan & Ortiz-Moctezuma, Manuel Benjamín & Sánchez-Orta, Anand & Parra-Vega, Vicente, 2019. "Adaptive robust control of fractional-order systems with matched and mismatched disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 85-96.
    3. Zhang, Ziyu & Yang, Xinsong & Lam, Hak-Keung & Xiang, Zhengrong, 2024. "Event-triggered control for switched systems with sensor faults via adaptive fuzzy observer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 244-259.

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