Periodic Event-triggered Consensus of Multiagent Systems Under Random Packet Dropouts

In this paper, the periodic event-triggered consensus problem for linear multiagent systems (MASs) with random packet dropouts in a generic directed communication topology is addressed. Both leaderless and leader-following mean square consensus problems, where the random packet dropouts are described by a Bernoulli-distributed sequence, are considered. To solve these problems, a linear transformation matrix is constructed from a given directed spanning tree of the communication topology of the MASs, which equivalently transforms the mean square consensus problem into the corresponding mean square asymptotic stability problem of the derived reduced-order systems with constraints. Then, mean square consensus criteria are derived using the Lyapunov stability theory, which is expressed in terms of linear matrix inequalities (LMIs) concerning the sampling period, the packet dropout probability, and the control gain matrix. To reduce the information updating number, an event-triggered mechanism is designed with fewer unknown parameters. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.