Enhanced Robust Consensus Control for Uncertain T-S Fuzzy Multi-Agent System

This paper investigates the consensus control problem for uncertain Takagi-Sugeno (TS) fuzzy multi-agent systems (MAS) using Fuzzy Lyapunov Functions. The T-S fuzzy modeling approach is used to represent the uncertain non-linear agents making possible the design of a robust static output feedback (SOF) consensus controller. The fuzzy Lyapunov function is employed to derive less conservative stability conditions in the form of linear matrix inequalities (LMIs). Numerical simulations are provided to demonstrate the effectiveness of the proposed methodology in achieving consensus and ensuring system stability.