Bipartite Consensus for Takagi-Sugeno Fuzzy Uncertain Multi-Agent Systems With Gain Fluctuations

This paper examines the problem of bipartite consensus for Takagi-Sugeno fuzzy multi-agent systems subject to uncertainties. The principal intention of this work is to develop a non-fragile controller through which the considered multi-agent system can achieve bipartite consensus. An undirected signed graph is considered to describe the cooperative and competitive interaction among neighboring agents. On this circumstance, we propose a consensus protocol by the utilization of graph theory. Further, with the aid of Lyapunov stability theory, the sufficient conditions are derived in the form of linear matrix inequalities which ensures the bipartite consensus of the considered multi-agent system. At last, two numerical examples are provided with their simulations to describe the viability of the developed theoretical findings.