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

• Published in: IEEE access Vol. 12; pp. 56422 - 56430
• Main Author: Rong, Li
• Format: Journal Article
• Language: English
• 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
• DOI: 10.1109/ACCESS.2024.3383443

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.