Periodic Event‐triggered Consensus Based on Triggered Communication States for Multi‐agent Systems with Packet Losses

In this paper, periodic event‐triggered leaderless and leader‐following consensus problems are studied for linear multi‐agent systems with deterministic packet losses under the generic directed communication topology. Specially, an event‐triggered mechanism is proposed, which only needs to communicate the event‐triggered states of the agent and verify the event‐triggered condition at the periodic sampling instants. A switched system with stable and unstable subsystems is used to describe packet dropouts in a deterministic way. The incidence matrix of a directed spanning tree in the directed communication topology is utilized to construct a linear transformation so that the consensus problems are equivalently transformed into the asymptotic stability problems of reduced‐order systems. Then, some sufficient consensus conditions are derived and the consensus protocol gains are designed. Finally, simulation examples are given to show the effectiveness of the proposed results.