Distributed Data-driven Event-Triggered H∞ Consensus for Unknown Heterogeneous Multi-Agent Systems

This brief proposes a distributed data-driven algorithm to solve the consensus control problem of continuous heterogeneous linear multi-agent systems with unknown dynamics and disturbance signals. Firstly, the H
∞
control is used to suppress disturbance signals. And then in order to reduce the complexity of H
∞
controller design for heterogeneous systems, the H
∞
consensus problem is solved with the application of the alternating direction method of multiplier. Next, for the unknown dynamics of agents, a novel data-driven method is used to solve the H
∞
consensus problem when only the input and output information of the multi-agent system can be obtained. Besides, in order to further reduce the communication frequency, a dynamic event-triggered scheme is designed for the H
∞
consensus control algorithm. It is proved that the event-triggered consensus algorithm is stable and does not produce Zeno behavior. Finally, an example is given to verify the effectiveness of the algorithm.