The reliability and stability of the Matrix Converter has improved during the last
years due to the enhanced control algorithms. The traditional direct transfer function control
mode has been replaced by more complex – digitally implemented control methodologies. These
methodologies allow for real time calculation of the optimal switching interval of each individual
switch of the matrix converter. These new switching algorithms allow optimal performances,
ensuring sinusoidal outputs at any desired power factor. This paper will first revise the underlying
theory of matrix converters, then review the various control limitations and finally review the
current control algorithms.