In this work we present an Asymmetric Multicell Converter fed by a single DC source per phase. The proposed control method is divided in two parts. Firstly, the main cells are handled by using a fundamental frequency switching pattern. In parallel, a Model Predictive strategy is used to control the remaining cells which use floating capacitor instead of a DC source. The target of this controller is not only to improve the output current quality, but also regulate the floating capacitor voltages of the small cells in order to achieve the desired number of levels of the output voltage. In this way, the main cells provide the active power to the load whereas the small cells provide reactive power to reduce the harmonic pollution produced by the main ones.