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Family of controllers for predefined-time synchronization of Lorenz-type systems and the Raspberry Pi-based implementation

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  • Martínez-Fuentes, Oscar
  • Díaz-Muñoz, Jonathan Daniel
  • Muñoz-Vázquez, Aldo Jonathan
  • Tlelo-Cuautle, Esteban
  • Fernández-Anaya, Guillermo
  • Cruz-Vega, Israel

Abstract

In the context of different applications demanding fast, secure, and accurate chaotic systems synchronization, this article is concerned with improving the security and timeliness of chaotic synchronization schemes in chaotic secure information transmission. Firstly, we introduce five control laws designed to achieve predefined-time chaotic synchronization within a master–slave scheme, employing a generalized Lorenz-type systems family as the chaotic model, guaranteeing that the chaotic systems achieve synchronization before a known predefined time. We apply the synchronization scheme in a practical application to validate its performance by implementing a secure communication system for image encryption on Raspberry Pi, using the MQTT protocol for transmission. We present system experimental results and evaluate its performance using diverse metrics, including errors, correlation, variance, and statistical tests like entropy, NPCR, and UACI.

Suggested Citation

  • Martínez-Fuentes, Oscar & Díaz-Muñoz, Jonathan Daniel & Muñoz-Vázquez, Aldo Jonathan & Tlelo-Cuautle, Esteban & Fernández-Anaya, Guillermo & Cruz-Vega, Israel, 2024. "Family of controllers for predefined-time synchronization of Lorenz-type systems and the Raspberry Pi-based implementation," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077924000134
    DOI: 10.1016/j.chaos.2024.114462
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    References listed on IDEAS

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    1. Abudusaimaiti, Mairemunisa & Abdurahman, Abdujelil & Jiang, Haijun & Hu, Cheng, 2022. "Fixed/predefined-time synchronization of fuzzy neural networks with stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Muñoz-Vázquez, Aldo Jonathan & Sánchez-Torres, Juan Diego & Defoort, Michael & Boulaaras, Salah, 2021. "Predefined-time convergence in fractional-order systems," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Zhang, Mengjiao & Zang, Hongyan & Bai, Luyuan, 2022. "A new predefined-time sliding mode control scheme for synchronizing chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. García-Guerrero, E.E. & Inzunza-González, E. & López-Bonilla, O.R. & Cárdenas-Valdez, J.R. & Tlelo-Cuautle, E., 2020. "Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    5. Omar Guillén-Fernández & Esteban Tlelo-Cuautle & Luis Gerardo de la Fraga & Yuma Sandoval-Ibarra & Jose-Cruz Nuñez-Perez, 2022. "An Image Encryption Scheme Synchronizing Optimized Chaotic Systems Implemented on Raspberry Pis," Mathematics, MDPI, vol. 10(11), pages 1-23, June.
    6. Omar Guillén-Fernández & Ashley Meléndez-Cano & Esteban Tlelo-Cuautle & Jose Cruz Núñez-Pérez & Jose de Jesus Rangel-Magdaleno, 2019. "On the synchronization techniques of chaotic oscillators and their FPGA-based implementation for secure image transmission," PLOS ONE, Public Library of Science, vol. 14(2), pages 1-34, February.
    7. Cheng, Haoxin & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2023. "A deep reinforcement learning method to control chaos synchronization between two identical chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    8. Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    9. Amina-Aicha Khennaoui & Adel Ouannas & Shaher Momani & Othman Abdullah Almatroud & Mohammed Mossa Al-Sawalha & Salah Mahmoud Boulaaras & Viet-Thanh Pham, 2022. "Special Fractional-Order Map and Its Realization," Mathematics, MDPI, vol. 10(23), pages 1-11, November.
    10. Feki, Moez, 2009. "Sliding mode control and synchronization of chaotic systems with parametric uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1390-1400.
    11. Wang, Mei-Qi & Ma, Wen-Li & Li, Yuan & Chen, En-Li & Liu, Peng-Fei & Zhang, Ming-Zhi, 2022. "Dynamic analysis of piecewise nonlinear systems with fractional differential delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
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