Consensus of Multi-agent Systems with Markovian Packet Loss under Event-triggering Asynchronous Control Strategies

This paper investigates the consensus problem of networked multi-agent systems employing event-triggering strategies. Agents establish communication among nodes via channels characterized by Markovian packet loss, where distributed packet losses occur independently on each communication channel. Due to communication bandwidth limitations, we introduce an event-triggering strategy based on consensus error and the state of the agent to design the state-feedback consensus protocol. We investigate the sufficiency conditions that ensure the system reaches mean-square consensus under Markovian packet loss. Furthermore, we do not consider the packet loss on each channel separately but model the overall communication topology of the multi-agent system using only one Markov process. Also, this paper takes into account the inevitable noise within the communication channel, recognizing its potential impact on system performance. Simulation experiments verify the effectiveness of the proposed control strategies.