Event-based control strategy on consensus of multi-agent systems with estimated combinational measurements

This paper studies the consensus problem of a first-order multi-agent system by using event-based strategy. For each agent, both of the control law and the triggering function utilize estimated combinational measurement, which is calculated based on the combinational measurement that sampled at the agent's event instant. The distributed triggering function is developed to compute these instants. Only when an event occurs, will the agent samples its neighbors' state to gather the combinational measurement and use it to update the control law. The multi-agent system is guaranteed to reach consensus under the event-triggered control strategy. Furthermore, the inter-event interval has a positive lower bound. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed control strategy.