Stability Analysis of Positive Polynomial Fuzzy System by Fuzzy Co-positive Lyapunov Function

This paper aims to analyze the stability and positivity of positive systems using on polynomial fuzzy models (PFMB). The nonlinear system dynamics are modelled using polynomial fuzzy models, and the controllers are polynomial fuzzy on the basis of imperfect premise matching methods designed to obtain the closed-loop control systems. A new control system called PFMB has been developed, ensuring stability and positivity using a unique fuzzy co-positive Lyapunov function. Integrate the boundary information of the membership function in the direction of the stability conditions using the sum-of-squares (SOS) formula to relax them further. The persuasiveness of the contemplated path is corroborated through a numerical example. Key Words: fuzzy control, stability analysis, nonlinear systems, positive systems.