Fixed-time bipartite consensus of multi-agent systems based on event-triggered intermittent control

In this paper, the fixed-time bipartite consensus of linear multi-agent systems (MASs) under event-triggered intermittent control (ETIC) is studied. In existing bipartite consensus, both cooperative and competitive relationships among agents are necessary. However, we focus on the scenario where all agents exhibit cooperative behaviour. Firstly, a new control protocol is devised by integrating the event-triggered strategy with the centralised sampled-data control (CSDC), and auxiliary functions are introduced to determine the protocol interval. Secondly, because the CSDC requires global information, to overcome this limitation, an improved ETIC embedded with distributed sampled-data control (DSDC) is proposed. Additionally, using Lyapunov stability theory and inequality methods, some sufficient conditions for fixed-time bipartite consensus of MASs are provided, while the Zeno phenomenon can be avoided. Ultimately, two numerical examples are employed to verify the theoretical conclusions.