Event-Triggered Consensus Control for Second-Order Multi-Agent Systems With/Without Input Time Delay

The paper studies the consensus of event-triggered for second-order multi-agent systems (MASs) with or without input time delay. Based on the designed triggering function, a distributed event-triggered control strategy is presented to drive the system to achieve consensus. For each agent, controller update only needs the neighbor’s information communication and its own error value, thus continuous communication among agents is not necessary. Communication energy can be saved as the agents send their state information only at infrequent event instants. To demonstrate the asymptotical stability of the closed-loop error system, S-procedure approach is used by combing Lyapunov stability theories with linear matrix inequality (LMI) technique. Two sufficient conditions are derived by solving LMIs for achieving second-order consensus under the cases of with or without input time delay, respectively.Numerical examples are presented to verify the effectiveness of the proposed controllers.