Abstract
Event-triggered average consensus of multiagent systems with switching topologies is studied in this paper. A distributed protocol based on event-triggered time sequences and switching time sequences is designed. Based on the inequality technique and stability theory of differential equations, a sufficient condition for achieving average consensus is obtained under the assumption that switching signal is ergodic and the total period over which connected topologies is sufficiently large. A numerical simulation is presented to show the effectiveness of the theoretical results.
Highlights
The consensus problem of multiagent systems has attracted a great deal of attention in many fields such as multirobot systems [1], sensor networks [2], and unmanned air vehicles (UAVs). is hot topic has been widely discussed in the literature by different methods, such as Lyapunov function methods [3, 4], linear matrix inequality methods [5,6,7], matrix decomposition approaches [8], and impulsive control methods [9, 10], just to name a few
The average consensus problem with switching topologies was studied in [17]. e leader-following consensus of second-order agents with switching topologies was studied in [18], which proved that the consensus of multiagent systems was asymptotically reachable and gave an estimate of the convergence rate
A sufficient condition for achieving average consensus is obtained under the assumption that switching signal is ergodic and the total period over which connected topologies is sufficiently large
Summary
The consensus problem of multiagent systems has attracted a great deal of attention in many fields such as multirobot systems [1], sensor networks [2], and unmanned air vehicles (UAVs). is hot topic has been widely discussed in the literature by different methods, such as Lyapunov function methods [3, 4], linear matrix inequality methods [5,6,7], matrix decomposition approaches [8], and impulsive control methods [9, 10], just to name a few. The control protocol used in the above literature requires continuous communication among agents, which is hard to realize due to the limited communication bandwidth It may result in the waste of computing resources as well as the consumption of a large amount of energy. In [30], the event-triggered leaderless and leader-following consensus problems of multiagent systems with jointly connected topology were investigated. In [33], event-triggered control leader-following consensus problems of multiagent systems with semi-Markov switching topologies were discussed. E event-triggered consensus problems of Discrete Dynamics in Nature and Society multiagent systems with jointly connected switching topologies were presented in [34,35,36,37].
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