Robust stabilization condition for a polynomial fuzzy system with parametric uncertainties

This paper concerns with the robust stabilization condition for the polynomial fuzzy system with parametric uncertainties. In the existing methods, nonlinear system with parametric uncertainties was modeled to the T-S fuzzy system. However, these methods has problem such as large number of the fuzzy rule. Therefore, this paper uses the polynomial fuzzy modeling method to manipulate the robust stabilization problem for the parameter uncertain nonlinear system. Furthermore, since new robust stabilization condition is derived from the polynomial Lyapunov function, so the condition is less conservative than previous robust stabilization condition. Finally, numerical example is given to show the validity of proposed method.