IEEE Access (Jan 2024)
Event-Triggered <italic>L</italic><sub>2</sub>−<italic>L</italic><sub>∞</sub> Exponential Consensus of Leader-Follower Multi-Agent Systems
Abstract
This paper investigates the $\mathcal {L}_{2}-\mathcal {L}_{\infty }$ 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 $\mathcal {L}_{2}-\mathcal {L}_{\infty }$ performance index. Subsequently, utilizing the condition, a design method for the $\mathcal {L}_{2}-\mathcal {L}_{\infty }$ controller is presented. Finally, through a numerical example, this paper discusses the relationship between optimal $\mathcal {L}_{2}-\mathcal {L}_{\infty }$ performance index and the maximum sampling period under different topological structures. The effectiveness of the proposed theoretical framework is validated through the numerical example.
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