The Multi-agent System Is Based On The Average Consistency Of Event Triggers

As one of the important research issues in the field of control,the consensus problem of multi-agent systems has attracted extensive attention of scholars in China and abroad.This paper mainly studies the average consensus problem of multi-agent systems under the conditions of adaptive event-triggering and integral event-triggering.The main contents include:1.The research background of multi-agent systems,and the basic knowledge about graph theory and matrix theory are introduced.The properties of eigenvalues of Laplacian matrix,the inequality lemma and stability theory are presented.2.Consensus protocol based on position information of agent itself and its neighbors is designed under the condition of periodic sampling.Based on the method of Lyapunov function,the average consensus problems of first-order multi-agent systems with fixed topology and switching topologies are investigated under special adaptive eventtriggering condition.3.Consensus protocol based on position and velocity information of agent itself and its neighbors is designed under the condition of periodic sampling.Based on the method of Lyapunov function,the average consensus problem of second-order multi-agent systems is investigated under special adaptive event-triggering condition.4.Based on Barbalat lemma,the average consensus problem of first-order multi-agent systems with fixed topological structure under specific integral event-triggering condition is studied.