Robust Control and Simulation of a Class of T-S Fuzzy Systems with Parametric Uncertainties

This paper deals with the robust control problem for a class of uncertain Takagi-Sugeno(T-S) fuzzy systems.A robust controller design method based on the concept of fuzzy region for T-S fuzzy systems with parametric uncertainties is presented.The uncertain T-S fuzzy model is converted into uncertain T-S fuzzy region model.A relaxed sufficient condition is derived for robust stabilization by using Lyapunov function approach in the form of linear matrix inequalities(LMIs).Compared with other similar(design) methods,the difficulty of solving LMIs is greatly reduced in this method and has a good robust(stability.) The efficiency of the method is illustrated through the simulation of a numerical uncertain fuzzy(system.)