H∞ Control for Multi-Agent Systems under Two-Way Amplify-and-Forward Relay Networks: The Event-Trigger Case

Jiaxin Chen; Yezheng Wang; Fan Wang

doi:10.53941/cssc.2026.100009

Abstract

This paper addresses the finite-horizon H_∞ control problem for the two-way amplify-and-forward (AF) relay-assisted multi-agent system. To enhance communication quality and mitigate channel fading effects, a two-way AF relay protocol is introduced to coordinate data transmission among agents. Based on channel statistical characteristics and incorporating an event-triggered mechanism, this paper designs an H_∞control protocol to ensure that the dynamic system satisfies the specified H_∞performance metrics within a finite horizon. First, sufficient conditions are established for the system to satisfy the given H_∞performance requirements. Then, by solving two coupled backward Riccati difference equations under the H_∞performance constraints, the feedback gain matrix of the event-triggered controller is determined. Finally, the effectiveness of the proposed control strategy is verified through numerical simulations.

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