Enhanced Observer-Control Synthesis for T-S Fuzzy Bilinear Systems

This paper presents a robust observer-based control strategy for bilinear Takagi-Sugeno fuzzy systems operating under uncertain and disturbed conditions. The study establishes sufficient stability conditions using Lyapunov approach, incorporating a parallel distributed compensation control design, Schur complement concept, and linear matrix inequality tools. To validate the robustness and effectiveness of the proposed control approach, a numerical simulation is performed using a stirred tank reactor as a case study. The results demonstrate the performance of the robust controller despite uncertainties and disturbances.