Fault-tolerant consensus for linear singular multi-agent systems with dynamic adaptive event-triggered mechanism

Our research focuses on examining the consensus issue within linear singular multi-agent systems (SMASs) that incorporate fault tolerance capabilities. We begin by introducing a novel event-triggered mechanism for dynamic adaptation (DAETM), which generalizes both existing dynamic and static ETMs. Based on this dynamic ETM, we design a dynamic adaptive event-triggered fault-tolerant controller (DAETFTC). We then analyze the consensus achievability for linear SMASs using the DAETFTC. Furthermore, we establish additional criteria that ensure the asymptotic consensus of all agents within linear SMAS, while rigorously avoiding the Zeno phenomenon. Subsequently, a computational illustration is provided to corroborate the findings of the study.