This work addresses an application of genetic algorithm (GA) methodology in doubly-fed induction generator (DFIG) systems to optimize the weighting matrices of the linear quadratic regulator (LQR). The GA-based LQR control technique will elude the trial-and-error approach in constructing the appropriate weighting matrices. The proposed controller is compared with the conventional LQR control method for the stator terminal voltage perturbations. The stability and the dynamic responses of the studied system are examined through eigenvalues and the time response analysis. Simulation results demonstrate that the GA-based LQR control methodology is more stable and robust than in comparison to the conventional LQR control method.