Leader-following consensus of linear multi-agent systems via reset control: A time-varying systems approach

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.