Bipartite consensus of multi-agent systems with matched uncertainty via fully distributed edge-based event-triggered mechanism

•The leader-following bipartite consensus of multi-agent systems with matched uncertainty is studied.•A nonlinear function is added to the control protocol to suppress the influence of matched uncertainty.•The event-triggered mechanisms are designed for each edge and the leader.•The control protocols and event-triggered conditions in this paper are fully distributed.•The state feedback and output feedback control protocol are proposed.