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Synchronization of complex networks with PID pinning controller

Author

Listed:
  • Xinbiao Lu

    (College of Artificial Intelligence and Automation, Hohai University Nanjing 211100, P. R. China)

  • Yudan Chen

    (College of Artificial Intelligence and Automation, Hohai University Nanjing 211100, P. R. China)

  • Yisen Chen

    (College of Artificial Intelligence and Automation, Hohai University Nanjing 211100, P. R. China)

  • Xing Gao

    (College of Artificial Intelligence and Automation, Hohai University Nanjing 211100, P. R. China)

  • Guiyun Chen

    (College of Artificial Intelligence and Automation, Hohai University Nanjing 211100, P. R. China)

  • Tieliu Yang

    (College of Artificial Intelligence and Automation, Hohai University Nanjing 211100, P. R. China)

  • Wen Wu

    (College of Artificial Intelligence and Automation, Hohai University Nanjing 211100, P. R. China)

Abstract

Recently, synchronization of complex networks has been studied deeply; however, most existing works take the standard proportional control strategy approach to pinning controllers, which produces a steady-state error and has a significant time of fluctuation. In order to solve this problem, we propose a new method using the Proportional-Integral-Differential (PID) control to design a pinning control method for synchronization of complex networks. Based on Lyapunov theory, the stability of the network is proved, and sufficient synchronization conditions are obtained. Finally, examples are given to evaluate the effectiveness of the proposed PID pinning method and compare it to the traditional proportional pinning controller and adaptive pinning controller.

Suggested Citation

  • Xinbiao Lu & Yudan Chen & Yisen Chen & Xing Gao & Guiyun Chen & Tieliu Yang & Wen Wu, 2024. "Synchronization of complex networks with PID pinning controller," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(11), pages 1-16, November.
    • Handle: RePEc:wsi:ijmpcx:v:35:y:2024:i:11:n:s012918312450147x
    DOI: 10.1142/S012918312450147X
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