Stabilization analysis of observer-based controller for uncertain and disturbed T-S fuzzy model: Application to wind turbine

Abstract

This work presents the stability and design of a nonlinear fuzzy observer-based controller. Based on Takagi — Sugeno fuzzy model and applying Lyapunov function with a PDC command and some lemma, sufficient conditions are developed. These conditions proposed concerns tow systems one contain the uncertainties parameters and another one without uncertainties parameters with external disturbances. Finally, to illustrate the effectiveness of the proposed theorems tow examples are presented: The first example deals with problem of fuzzy control stabilization for wind turbine generator with external disturbances. The second example given to guarantee the stability and performances on an inverted pendulum with uncertainties parameters.