Consensus of nonlinear multi–agent systems with distributed event–triggered impulsive control

Abstract

This study addresses the consensus problem in nonlinear multi-agent systems with the distributed impulsive control method. To decrease communication wastage, a distributed event-triggered impulsive protocol is developed to achieve consensus. In the proposed control method, each agent receives neighbor information and performs impulse control only when its own trigger function exceeds a given tolerance. Then, through the Lyapunov method, the conditions that allow the multi-agent systems reach consensus are analyzed and the Zeno behavior is excluded. Finally, some numerical simulations are performed to validate the effectiveness of the proposed method.