Event‐triggered finite‐time practical consensus of multiagent systems with general directed communication graphs
Junjie Fu, Ying Wan, Tingwen Huang
Abstract
Summary In this article, an event‐triggered sampled‐data implementation of a class of finite‐time consensus controllers is considered for first‐order multiagent systems under general directed communication graphs. Each agent only updates its control input at its event‐triggering time instants. From any initial condition of the agents, it is rigorously proved that the proposed control strategy can achieve consensus with arbitrarily small errors in a finite time. Zeno behavior is also proven to be excluded. Moreover, a self‐triggered sampled‐data implementation is proposed to further reduce the communication requirement. Both leaderless and leader‐following consensus are considered. Generalizations to event‐triggered consensus of second‐order multiagent systems are then presented. Simulations of the frequency and voltage control of smart grids are finally given to illustrate the effectiveness of the proposed protocols.