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Secure Data Transmission Based on Adaptive Chattering-Free Sliding Mode Synchronization of Unified Chaotic Systems

Author

Listed:
  • Chih-Hsueh Lin

    (Department of Electronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 80778, Taiwan)

  • Chia-Wei Ho

    (Department of Electronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 80778, Taiwan
    Department of Industrial Upgrading Service, Metal Industries Research & Development Centre, Kaohsiung 81160, Taiwan)

  • Guo-Hsin Hu

    (Department of Electronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 80778, Taiwan
    Department of Industrial Upgrading Service, Metal Industries Research & Development Centre, Kaohsiung 81160, Taiwan)

  • Baswanth Sreeramaneni

    (Department of Electronic Engineering, National Chin-Yi University of Technology, Taichung 41107, Taiwan)

  • Jun-Juh Yan

    (Department of Electronic Engineering, National Chin-Yi University of Technology, Taichung 41107, Taiwan)

Abstract

This paper is concerned with a novel secure data transmission design based on adaptive synchronization of master and slave unified chaotic systems. First, by introducing an augmented error state, an adaptive continuous sliding mode control (SMC) is derived to guarantee the synchronization of unified chaotic systems. Then, the secret message embedded in the master chaotic system can be transmitted from transmitter to receiver. Different from previous works using discontinuous SMC, the undesired chattering phenomenon can be fully eliminated, and it becomes possible to precisely recover the embedded secret message at the receiver. Last, an example is given to illustrate the success of secure data transmission with the continuous SMC developed in this paper.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2658-:d:661174
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    References listed on IDEAS

    as
    1. Yi-You Hou & Ben-Yi Liau & Hsin-Chieh Chen, 2012. "Synchronization of Unified Chaotic Systems Using Sliding Mode Controller," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-10, December.
    2. Hua Zhang & Heng Liu, 2021. "An Integral Sliding Mode Control of Uncertain Chaotic Systems via Disturbance Observer," Complexity, Hindawi, vol. 2021, pages 1-11, February.
    3. Chih-Hsueh Lin & Guo-Hsin Hu & Jun-Juh Yan, 2020. "Chaos Suppression in Uncertain Generalized Lorenz–Stenflo Systems via a Single Rippling Controller with Input Nonlinearity," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    4. Jiaxun Liu & Zuoxun Wang & Minglei Shu & Fangfang Zhang & Sen Leng & Xiaohui Sun, 2019. "Secure Communication of Fractional Complex Chaotic Systems Based on Fractional Difference Function Synchronization," Complexity, Hindawi, vol. 2019, pages 1-10, August.
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    Cited by:

    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.
    2. 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.

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