PID Control for Output Synchronization of Multiple Output Coupled Complex Networks

• Published in: IEEE transactions on network science and engineering Vol. 9; no. 3; pp. 1553 - 1566
• Main Authors: Zhao, Lin-hao, Wen, Shiping, Xu, Min, Shi, Kaibo, Zhu, Song, Huang, Tingwen
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.05.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> mathcal {H}_{\infty }</tex-math> </inline-formula> output synchronization; Complex networks; Controllers; Couplings; multiple output coupled complex networks (MOCCNs); output synchronization; PD control; Proportional derivative; Proportional integral derivative; proportional-integral-derivative (PID) control; Sufficient conditions; Switches; Synchronism; Synchronization; Topology
• ISSN: 2327-4697; 2334-329X
• DOI: 10.1109/TNSE.2022.3147786

This article attempts to address output synchronization and <inline-formula><tex-math notation="LaTeX">\mathcal {H}_{\infty }</tex-math></inline-formula> output synchronization problems for multiple output coupled complex networks (MOCCNs) under proportional-derivative (PD) and proportional-integral (PI) controllers. Firstly, two classes of MOCCNs without and with external disturbances are separately put forward. Secondly, based on the PD and PI control schemes, several output synchronization criteria for MOCCNs are formulated by using the Lyapunov functional method and inequality techniques. Thirdly, <inline-formula><tex-math notation="LaTeX">\mathcal {H}_{\infty }</tex-math></inline-formula> output synchronization for MOCCNs is also studied with the help of the PD and PI controllers. Finally, two numerical examples are separately presented to demonstrate the validity of acquired theoretical results.