This paper presents a comparative study of two discrete nonlinear current controllers with fixed switching frequency, one based on the model predictive control and the other to robust discrete-time sliding mode, applied to a six-phase induction machine. The outer speed control is based on the proportional-integral controller. Simulation results are presented to demonstrate the performance of the two current control strategies using the mean squared error, root mean square and total harmonic distortion as figures of merit, thus concluding the advantages and limitations of each current controller at steady and transient states.CONACYT – Consejo Nacional de Ciencia y Tecnología