Stability Analysis of Polynomial Fuzzy Control Systems based on Homogeneous Lyapunov Function

This paper deal with an SOS based stability analysis of the polynomial fuzzy model based (PFMB) control systems. By applying the Euler’s homogeneity relation, the homogeneous Lyapunov function is introduced and a novel stability condition is presented. To verify the analytical theories with the proposed method, a popular example is employed to show the effectiveness of the proposed stability condition.