Distributed event-triggered control for multi-agent systems with unknown data

In this note, we study the event-triggered consensus problems for second-order multi-agent systems without velocity measurements. Distributed cooperative protocols with event-triggered mechanisms are proposed to reconstruct the velocity information and causally achieve the agreement of all agents. Under this scheme, only sampling position data are used in the controller design. Based on the Lyapunov stability theory and linear matrix inequality technique, some conditions for achieving consensus are obtained. Numerical simulations are presented to verify the theoretical results.