Fully Distributed Consensus of Multi-agent Systems with Fuzzy Communication Topology

This paper investigates a fully distributed consensus problem of multi-agent systems (MASs) with fuzzy topology. T-S fuzzy models are utilized to represent the uncertain communication topology among the agents. An edge-based adaptive protocol using only local information is applied, then a parallel distribution compensation controller based on the adaptive protocol is put forward to resolve the consensus problem in a fully distributed fashion. Based on Lyapunov stability theory, a sufficient condition that ensure the consensus of the closed-loop MASs is presented. Finally, a simulated example is supplied to demonstrate the viability of the suggested approach.