Event-based sampled-data consensus control for distributed linear multi-agent systems

This paper concerns sampled-data consensus under distributed event-triggered strategy for multi-agent systems with undirected graph. Detailed construction of a distributed multi-agent systems structure based on undirected graphs. The multi-agent systems is transformed into an equivalent error system, then converted the error system to one with a time delay processed by Lyapunov-Krasovskii functional. Based on the error system, the linear matrix inequality (LMIs) toolbox derived the conditions for the error system to be stable and ensures that all agents are consensus. Then, based on the conditions obtained above, a theorem of calculating the controller gain is proposed, effectively reduced the sampling frequency and greatly improved the convergence rate. Finally, simulation examples are given to verify the reliable validity of the theories that had proposed.