Event-Triggered L2−L∞ Exponential Consensus of Leader-Follower Multi-Agent Systems

This paper investigates the <inline-formula> <tex-math notation="LaTeX">\mathcal {L}_{2}-\mathcal {L}_{\infty } </tex-math></inline-formula> exponential consensus control problem of leader-follower multi-agent systems based on an event-triggered strategy. It begins...

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Bibliographic Details
Published inIEEE access Vol. 12; pp. 56422 - 56430
Main Author Rong, Li
Format Journal Article
LanguageEnglish
Published IEEE 2024
Subjects
Control systems
Design methodology
event-triggered
exponential consensus
Leader-follower
L₂−L
Multi-agent systems
Optimization
Performance analysis
Stability analysis
Topology
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Summary:This paper investigates the <inline-formula> <tex-math notation="LaTeX">\mathcal {L}_{2}-\mathcal {L}_{\infty } </tex-math></inline-formula> exponential consensus control problem of leader-follower multi-agent systems based on an event-triggered strategy. It begins by establishing an error system and provides a sufficient condition guaranteeing exponential stability of the error system while satisfying the <inline-formula> <tex-math notation="LaTeX">\mathcal {L}_{2}-\mathcal {L}_{\infty } </tex-math></inline-formula> performance index. Subsequently, utilizing the condition, a design method for the <inline-formula> <tex-math notation="LaTeX">\mathcal {L}_{2}-\mathcal {L}_{\infty } </tex-math></inline-formula> controller is presented. Finally, through a numerical example, this paper discusses the relationship between optimal <inline-formula> <tex-math notation="LaTeX">\mathcal {L}_{2}-\mathcal {L}_{\infty } </tex-math></inline-formula> performance index and the maximum sampling period under different topological structures. The effectiveness of the proposed theoretical framework is validated through the numerical example.
ISSN:2169-3536
DOI:10.1109/ACCESS.2024.3383443