Distributed event-triggered output feedback H∞ control for multi-agent systems with transmission delays

The output feedback H infinity consensus control problem of multi-agent systems is studied using an event-triggered control strategy. Two types of transmission delays, one from the system output to the output feedback controller (OFC) and the other from the OFC to the zero-order holder, are considered. This causes the OFC and the system not to be updated in the same time intervals. An interval dividing approach is applied to such that the whole system can be updated in the same time intervals. An event-triggered OFC with H infinity performance is proposed for multi-agent systems to achieve consensus. By constructing an appropriate Lyapunov-Krasovskii functional, sufficient conditions based on linear matrix inequality are derived to guarantee the consensus achievement. Finally, the theoretical results are validated using computer simulation.

Automated summary

In this study, the output feedback H infinity consensus control problem of multi-agent systems is addressed using an event-triggered control strategy. An interval dividing approach is applied to update the entire system in the same time intervals, and an event-triggered OFC with H infinity performance is proposed. Theoretical results are validated through computer simulation to demonstrate the effectiveness of achieving consensus in multi-agent systems.