LMI Conditions to Design a Robust Fuzzy Controller for a Wind Generator

This work deals with problem of fuzzy control stabilization for wind turbine generator with parameter uncertainties. Using Linear Matrix inequality (LMI) combined with a judicious of the famous Young relation, a new methodology of stability is proposed, which can be solved by using LMI optimization techniques. Hence the control scheme is based on a PDC structure, a fuzzy observer and a H-infinity standard command to attenuate the external disturbances of the wind speed. To illustrate the proposed method and guarantee the performance the simulation on a dynamic model of the wind energy conversion systems (WECS) is given.