Event‐triggered consensus control for second‐order multi‐agent systems

In this study, an event‐triggered control strategy is proposed to achieve consensus in a multi‐agent system under a directed topology. The proposed control strategy utilises a piecewise continuous control law and an event‐triggering function for each agent. The control law only updates at discrete event instants computed using an event‐triggering function, which depends on the states of the agents at the current and outdated event instant. This control approach is first applied to a first‐order system and is further extended to a second‐order system. Simulation examples are presented to illustrate the efficiency of the proposed control strategy.