Robust Polynomial Observers For Positive Polynomial Fuzzy Systems

Abstract

A novel approach is proposed to design a robust observer for a class of positive polynomial fuzzy models. To study the considered analysis and design problems, a line-integral polynomial fuzzy Lyapunov function with polynomial terms depending of the estimated states is proposed. The proposed design conditions of the positive polynomial fuzzy controllers guaranteeing both the stability and the non negativeness of the estimated states, are solved using Sum of Squares(SOS) approach. Finally, simulations examples are given to show the effectiveness of the proposed approach.