Synchronization of complex networks with PID pinning controller

Xinbiao Lu, Yudan Chen (), Yisen Chen (), Xing Gao (), Guiyun Chen (), Tieliu Yang () and Wen Wu ()
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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

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 11, 1-16

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.

Keywords: Complex network; PID controller; pinning control; synchronization (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S012918312450147X

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