Synchronization of complex networks with PID pinning controller

被引:0
|
作者
Lu, Xinbiao [1 ]
Chen, Yudan [1 ]
Chen, Yisen [1 ]
Gao, Xing [1 ]
Chen, Guiyun [1 ]
Yang, Tieliu [1 ]
Wu, Wen [1 ]
机构
[1] Hohai Univ, Coll Artificial Intelligence & Automat, Nanjing 211100, Peoples R China
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2024年 / 35卷 / 11期
关键词
Complex network; PID controller; pinning control; synchronization;
D O I
10.1142/S012918312450147X
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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.
引用
收藏
页数:16
相关论文
共 50 条
  • [31] Synchronization criterions and pinning control of general complex networks with time delay
    Xu, Degang
    Su, Zhifang
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (04) : 1593 - 1608
  • [32] Lag synchronization of complex networks via pinning control
    Guo, Wanli
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (05) : 2579 - 2585
  • [33] PINNING IMPULSIVE SYNCHRONIZATION OF FRACTIONAL COMPLEX DYNAMICAL NETWORKS
    Ma, Weiyuan
    Li, Changpin
    Wu, Yujiang
    INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2015, VOL 9, 2016,
  • [34] Pinning synchronization of fractional-order complex networks with Lipschitz-type nonlinear dynamics
    Wang, Junwei
    Ma, Qinghua
    Chen, Aimin
    Liang, Zhipeng
    ISA TRANSACTIONS, 2015, 57 : 111 - 116
  • [35] Synchronization of delayed complex dynamical networks with actuator failure by event-triggered pinning control
    Meng, Liang
    Bao, Haibo
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 606
  • [36] A method of quickly calculating the number of pinning nodes on pinning synchronization in complex networks
    Liang, Yi
    Wang, Xingyuan
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 246 : 743 - 751
  • [37] On Pinning Synchronization of Complex Dynamical Network with Coupling Delay
    Lu Zibao
    Guo Ge
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1217 - 1222
  • [38] Inverse optimal pinning control for synchronization of complex networks with nonidentical chaotic nodes
    Vega, Carlos J.
    Sanchez, Edgar N.
    Alzate, Ricardo
    IFAC PAPERSONLINE, 2018, 51 (13): : 235 - 239
  • [39] Outer synchronization of a class of mixed delayed complex networks based on pinning control
    Lin Shi
    Guiling Chen
    Shouming Zhong
    Advances in Difference Equations, 2018
  • [40] Pinning sampled-data synchronization for complex networks with probabilistic coupling delay
    王健安
    聂瑞兴
    孙志毅
    Chinese Physics B, 2014, 23 (05) : 176 - 183