Leader-follower consensus control for linear multi-agent systems by fully distributed edge-event-triggered adaptive strategies

Abstract

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.