Lag consensus and lag H∞ consensus for multiagent systems subject to topology attacks based on PD control and PI control

The proportional–derivative (PD) control and proportional–integral (PI) control approaches are utilized to tackle the lag and lag H∞ consensus for multiagent systems (MASs) suffering topology attacks. A lag consensus criterion for the MAS is presented with the help of graph theory, matrix theory, an...

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Bibliographic Details
Published inNeurocomputing (Amsterdam) Vol. 650; p. 130815
Main Authors Wang, Jin-Liang, Zhao, Xin-Yu, Zhai, Yi-Ming
Format Journal Article
LanguageEnglish
Published Elsevier B.V 14.10.2025
Subjects
Lag consensus
Lag ℋ∞ consensus
Multiagent systems (MASs)
Proportional-derivative (PD) control
Proportional-integral (PI) control
Topology attacks
Lag ℋ∞ consensus
Multiagent systems (MASs)
Proportional-derivative (PD) control
Topology attacks
Lag consensus
Proportional-integral (PI) control
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Summary:The proportional–derivative (PD) control and proportional–integral (PI) control approaches are utilized to tackle the lag and lag H∞ consensus for multiagent systems (MASs) suffering topology attacks. A lag consensus criterion for the MAS is presented with the help of graph theory, matrix theory, and the devised PD control scheme. Moreover, a sufficient condition to guarantee the lag consensus of the MAS is also derived by exploiting Barbalat’s lemma, the properties of Kronecker product, and the designed PI control strategy. In addition, two lag H∞ consensus criteria are acquired for the MAS under external disturbances by utilizing PD control and PI control approaches. Finally, two numerical examples are afforded to validate the devised control schemes.
ISSN:0925-2312
DOI:10.1016/j.neucom.2025.130815