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The present paper deals with the study and the implementing of a multilevel inverter simultaneously controlled by Modulated Hysteresis Current Control (MHCC) and Fractional Order PID (FOPID) controllers. The converter supplies large ranges of low inductive loads in the purpose to transfer the energy from a DC supply source to an independent electrical network. The MHCC with low frequency of the triangular mono carrier adjusts the load current of the multilevel inverter, insures low power losses, high viability, strong sturdiness and good EMC behavior. The FOPID controller allows keeping constant the grid voltage. Simulation study and experimental results are presented in the paper for verifying the concept and its efficiency in practice.