This paper deals with a variable-speed wind energy conversion system (WECS), which is designed for dc load supply and battery charging in stand-alone applications.The PI speed controller, which is typically used in vector control systems with a self-excited induction generator (SEIG), is here replaced with a hedge-algebra controller (HAC). With this type of controller, it is possible to achieve a faster response and reduced overshoot/undershoot in the wind turbine (WT) speed in comparison with the PI controller. Fuzziness parameters and the linguistic rule base of the HAC are obtained by applying a genetic-algorithm-based optimization, which implies minimization of a predefined performance index. In this paper, the integral absolute error of the SEIG rotor speed is selected as the performance index, with the maximum overshoot/undershoot in the rotor speed during transients limited to 5%. The HAC is here for the first time implemented as the speed controller of the WT-driven SEIG. Simulation results show fast rotor speed responses obtained with the optimized HAC, which are superior to the PI controller responses.