Distributed Event-Triggered Robust H∞ Control of Linear Multi-agent Systems With Parameter Uncertainties

In this paper, we address the event-triggered robust H-infinity consensus problem of linear multi-agent systems in the presence of parametric uncertainties and disturbances. Using Lyapunov stability analysis method, we propose the state feedback control law as well as the triggering condition to reach consensus for the simple case when there is no disturbance. When there exist external disturbances, we further aim to optimize the L-2 norm of the consensus error by limiting the L-2 gain of the closed-loop system in a prescribed level, which actually gives rise to a robust H-infinity state feedback controller design problem. The designed controller is proved to be robust against uncertainties and disturbances as well as able to reduce the communication burden prominently.