This paper focuses on investigates the leader-follower consensus problem for linear multi-agent systems (MASs). In order to reduce the frequency of system network communication, this paper first designs three kinds of triggering mechanisms, for the leader, the edges composed of the leader and informed followers, and the edges composed of uninformed followers, respectively. All agents in the MASs do not transmit information until the corresponding triggering mechanisms are satisfied, thus avoiding continuous communication and saving system resources. Then, two kinds of fully distributed edge-event-triggered adaptive protocols are designed to solve the leader-follower problem. The first state feedback control protocol is applicable to scenarios where all states of MASs are available. The second output feedback control protocol does not depend on the availability of the states of MASs. Moreover, under the designed triggering mechanisms and fully distributed edge-event-triggered adaptive consensus strategies, the MASs do not exhibit the Zeno behavior. Finally, two practical simulations are introduced to verify all the theoretical results obtained in this paper. Furthermore, in order to further demonstrate the advantages of the proposed methods, a comparative experiment is performed.

本文重点研究线性多主体系统（MAS）的领导者跟随者共识问题。为了减少系统网络通信的频率，本文首先设计了三种触发机制，分别是针对领导者，由领导者和知情跟随者组成的边缘以及由不知情的跟随者组成的边缘。在满足相应的触发机制之前，MAS中的所有代理都不会传输信息，从而避免了连续通信并节省了系统资源。然后，设计了两种完全分布式的边缘事件触发自适应协议来解决领导者跟随者问题。第一状态反馈控制协议适用于MAS的所有状态均可用的情况。第二个输出反馈控制协议不依赖于MAS状态的可用性。此外，在设计的触发机制和完全分布式的边缘事件触发的自适应共识策略下，MAS不会表现出Zeno行为。最后，通过两个实际的仿真来验证本文获得的所有理论结果。此外，为了进一步证明所提出的方法的优点，进行了对比实验。