“…The control strategies implemented in the APF are the PID control techniques which need a large number of variables to be measured [19], the hysteresis control, which has a high band value, producing the greater propagation of low-order harmonic distortion and a low value [20], increasing switching losses, while model-based predictive control (MPC) is a nonlinear control technique applied to power converters [21,22], having some advantages such as fast dynamic response, the ability to handle multivariable systems [23], nonlinearities, and constraints. Some disadvantages are that it depends on the model of the system, and it uses a variable switching frequency, which causes the propagation of low-order harmonics in the output current that deteriorate the performance of the system [24]. On the other hand, the MPC applied to the APF based on seven-level cascade H-bridge converters uses the switching states, which correspond to a specific voltage level, which is normally a constant reference voltage [25], but having floating capacitors such as the DC-link, by which they are charged and discharged according to the polarity of the filter current, which generates ripples in the capacitor voltages.…”