Based on output feedback control, this paper studies the dynamic event-triggered finite-time leader-following consensus problem for general linear multi-agent systems with unavailable states. Firstly, an observer based on the output state of the system is constructed for each agent, and a finite-time consensus controller is designed for each agent based on the observed value. Secondly, an internal dynamic variable combined with system state is proposed, and a dynamic event-triggered function with dynamic threshold is further designed for each agent to reduce the number of events. Thirdly, the reliability of the proposed mechnaism is proved by stability analysis and numerical calculation method, and Zeno behavior is excluded. Finally, a simulation example verifies the rationality of the proposed mechnaism. The results show that the dynamic event-triggered mechanism proposed has excellent performance in reducing event frequency and achieving consensus, which shows the advantages in saving resources and in the case of state unavailability.

This paper addresses the bipartite consensus problem of general linear multi-agent systems, where cooperation and competition exist among agents. First, a fully distributed adaptive double dynamic event-triggered control protocol is designed under directed signed graphs. By combining adaptive technique with a double dynamic event-triggered mechanism, this protocol not only avoids reliance on global information of the system but also ensures intermittent communication and control signal updating. Secondly, the proposed control protocol is analyzed using graph theory and Lyapunov stability theory, demonstrating that it enables the multi-agent system to achieve bipartite consensus and proving the absence of Zeno behavior in the system. Due to the construction of two internal dynamic variables that couple system information, and the separate design of dynamic event-triggered mechanisms for communication and controller update based on these two variables, the proposed control algorithm has significant advantages in reducing communication overhead among agents and computational costs for the controllers. Finally, numerical simulations further validate the feasibility and effectiveness of the theoretical results.

This paper studies the practical fixed-time average consensus problem for general continuous linear multi-agent systems under switching topologies. Firstly, a distributed fixed-time consensus control protocol based on dynamic event-triggered mechanism is designed by using the local information exchange between individual agents. The protocol introduces auxiliary dynamic variables, and the triggering condition changes in real time based on the dynamic variable obtained online, which can significantly reduce the number of triggering events, effectively decrease the energy dissipation of the system and the update frequency of the controller. Then, under the designed control protocol, the sufficient conditions for the multi-agent system to solve the practical fixed-time average consensus problem are given, and it is proved that there is no Zeno behavior in the system. Finally, the simulation results verify the effectiveness of the conclusions.