Research On Group Consensus Of Event-triggered Multi-agent Systems

With the fast evolution of technology and science for the past few years,biology,computer,signal processing,artificial intelligence and other disciplines are moving towards deeper integration.The research of group behavior cooperative control is increasingly favored and valued by scholars in various fields.The systems can be divided into several subgroups,and the different subgroups realize gradual convergence to different values respectively.Considering the limited system bandwidth and energy in practical networks,based on graph theory,algebra,system stability theory and matrix analysis,this paper combines event-triggering mechanism to further study the group consensus of multi-agent systems.The content is arranged as follows:First,considering the cooperative-competitive interactions of the system,a distributed event-triggered control protocol and the condition of state-triggered communication transmission are given for multi-agent systems without leader.Under the action of the protocol,the individual agent only needs to communicate with its local neighbor to make the multi-agent systems realize group consensus quickly in a finite time,greatly decreasing the resource consumption of the system and the updating frequency of the controller.The stability of the multi-agent systems can be verified by combining graph theory,Lyapunov stability theory and matrix analysis.The proposed control protocol can implement group consensus in leaderless system with the event-triggered mechanism.In addition,the system avoids Zeno behavior.Then the theoretical results are extended to leaders-followers multi-agent systems.Simulation numerical example further proves the feasibility of theoretical result.Secondly,considering that the convergence time of finite-time group consistency is limited by the initial state,the problem of fixed-time group consensus of leaderless multi-agent systems based on event-triggered mechanism with uncertain nonlinear dynamics is further studied.Centralized and distributed event-triggered group consensus control protocols are presented respectively.Under the action of the protocol,the individual agent is not limited by the detail-balanced condition,and its convergence time is no longer reliance on the initial state,and only its own state information and local intelligence communicate,the group consensus can be achieved quickly in a fixed time,greatly decreasing the resource consumption of the system and the updating frequency of the controller.The proposed control protocol achieves fixed-time group consensus under the action of event-triggering mechanism can be proved by combined with algebraic graph theory,matrix analysis and Lyapunov stability theory,and Zeno behavior can be avoided in the system.Simulation numerical example further proves the feasibility of theoretical resultFinally,this paper summarizes the related work of multi-agent systems group consensus under the action of event-triggering mechanism,and prospects the future in-depth research on event-triggered group consensus.