In this paper two control techniques: Finite States - Model Based Predictive Control (FS - MBPC) and Fuzzy Logic Control (FLC) are developed to obtain arbitrary output currents, needed in a variable speed Wind Energy Conversion System (WECS). In this study, the simulation performance between FS-MBPC and FLC of the rotor current in a Doubly Fed Induction Generator (DFIG) with an Indirect Matrix Converter is evaluated. The simulations were carried out with constant shaft speed, and constant ramp speed with arbitrary rotor current references. Both FS-MBPC and FLC showed very high performance, following smoothly and rapidly the current reference with a very low error. The FS-MBPC dynamic response is slightly better than of the FLC. However, fewer mathematical calculations, and less measured data, and fewer computational requirements suggest that FLC can be easier to implement in FPGAs instead of composite microprocessor-based control platforms.