Distributed consensus for second-order multi-agent systems based on reset event-triggered mechanism

This paper investigates the consensus problem of disturbed second-order nonlinear multi- agent systems (MASs) under directed topology. A reset event-triggered control (RETC) is proposed that combines the reset mechanism with dynamic event-triggered control (ETC) strategies. The introduction of RETC overcomes the limitation of the traditional ETC that frequently triggers when approaching the consensus position. The external dynamic variables in the trigger conditions can be adjusted according to the predefined reset conditions. When the local state deviation reaches the preset threshold, the dynamic variable is reset to the initial value, greatly reducing the frequency of event triggering, and the strategies are fully distributed. The parameters and reset threshold depend only on the local state of the agents, without global information. The paper applies the Lyapunov stability theory to conduct a rigorous theoretical analysis of control strategies and verifies its effectiveness in improving transient consensus and reducing communication burden through simulations.