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In this paper, the implementation of a complete set of control algorithms for a three-phase Matrix Converter (MC) is addressed. The control algorithms are implemented on a single Microcontroller Unit (MCU) of the enhanced C2000 Delfino family of Texas Instruments (TI). By a suitable programming sequence, the MCU is capable of fully controlling the MC, which avoids the use of special hardware for assuring a reliable commutation process. The Singular Value Decomposition modulation (SVD) and the four-step current commutation technique, fundamental steps in this proposal, were implemented in the TMS320F28379D MCU device. The optimal algorithmic strategies and a proficient design allow a compact implementation in a single device. For validating this study, extensive numerical simulations were carried out, and an experimental prototype was efficiently implemented. Both kinds of results were discussed and analyzed to demonstrate the effectiveness of the proposed implementation. INDEX TERMS Matrix converter, singular value decomposition, microcontroller unit, ac-ac converter.