AUTHOR=Rodas Jorge , Gonzalez-Prieto  Ignacio , Kali  Yassine , Saad  Maarouf , Doval-Gandoy  Jesus TITLE=Recent Advances in Model Predictive and Sliding Mode Current Control Techniques of Multiphase Induction Machines JOURNAL=Frontiers in Energy Research VOLUME=Volume 9 - 2021 YEAR=2021 URL=https://www.frontiersin.org/journals/energy-research/articles/10.3389/fenrg.2021.729034 DOI=10.3389/fenrg.2021.729034 ISSN=2296-598X ABSTRACT=Multiphase machines have attracted the attention of the research and industrial communities due to their advantages, namely better power distribution and fault-tolerant capabilities without extra hardware. However, the multiphase machine requires high-performance control strategies to take advantage of these features. From this perspective, the field-oriented control with the inner current control loop has been considered the benchmark solution. Nevertheless, nonlinear controllers, thanks to their inherent nature, allow exploiting the extra multiphase capabilities in a simplified manner. Consequently, this paper aims to concentrate and discuss the latest developments on nonlinear current control of five-phase and six-phase induction machines. Then, this paper covers mainly finite-control-set model predictive control and their variations. Moreover, sliding-mode control is also explained. A detailed mathematical description of the five-phase and six-phase voltage source inverters are also introduced. Finally, this paper includes experimental assessments of the most recent nonlinear current control techniques considering steady-state and transient conditions, stability and performance analysis.