Finite frequency T-S fuzzy control for a variable speed wind turbine

This paper investigates a finite frequency Takagi-Sugeno (T-S) fuzzy controller synthesis for a variable speed wind turbine. The proposed control design is based on both the T-S fuzzy modeling and the finite frequency approach. The T-S fuzzy model is proposed to deal with a nonlinear behavior of wind turbine, and the finite frequency approach allows the command in a specific domain of frequency. Using generalized Kalman-Yakubovich-Popov (GKYP) lemma the design controller conditions are presented in linear matrix inequalities (LMIs) terms which can be solved easily using existing numerical tools. In order to illustrate the performance of the proposed control algorithm, numerical simulations are performed using Matlab 7.6.0 software.