In this work, we address the leader-following consensus problem of multi-agent systems by developing a novel reset consensus protocol with a time-varying gain matrix. The reset consensus protocol is distinct from existing results in the sense that it integrates a high-dimensional element with the reset actions triggered by a prescribed reset band. After converting the original closed-loop system to an equivalent linear time-varying system, we develop the time-varying system approach for linear multi-agent system over fixed/switching networks. It further shows that the proposed reset consensus protocol helps to improve the transient performance. Finally, two numerical examples are presented to illustrate the theoretical results and effectiveness.

在这项工作中，我们通过开发一种具有时变增益矩阵的新型重置共识协议来解决多代理系统的领导者跟随共识问题。重置共识协议与现有结果的不同之处在于，它将高维元素与由规定的重置带触发的重置操作集成在一起。将原始闭环系统转换为等效的线性时变系统后，我们开发了固定/交换网络上线性多智能体系统的时变系统方法。它进一步表明，所提出的重置共识协议有助于提高瞬态性能。最后，给出了两个数值例子来说明理论结果和有效性。