## 5 Results
### Experimental Results in FPGA
Future work will focus on optimizing the control algorithm and exploring its application to more complex power electronic systems. The experimental results have shown the correct behavior of the controller with a passive load. To further validate the robustness of the proposed controller, additional results with an active load are included. Figure 15 illustrates the behavior of the proposed control method when applied to a boost converter connected to a single-phase H-bridge inverter, which powers a resistive-inductive (R-L) load (20 \(\Omega\) and 20 mH) on the AC side. The H-bridge is controlled by a sinusoidal PWM modulator to provide a sinusoidal voltage waveform with an amplitude of 30 V. The controller maintains the input DC link voltage of the H-bridge around 60 V while effectively handling active loads, such as the inverter with a DC bus. Unlike passive resistor loads, the system dynamically adjusts the reference current to maintain the desired voltage across the DC link while compensating for the inductive effects on the load side. The 100 Hz component in the inductor current, shown in Figure 15,  
Figure 14: Controller’s performance based on the proposed FCS-MPC method under a step change in load from R1 = 45 \(\Omega\) to R2 = 22.5 \(\Omega\), captured by the ILA in the FPGA implementation of the entire system. results from the AC-side power demand, where the H-bridge inverter converts the DC link voltage into a single-phase AC output. Since the output power is sinusoidal, corresponding to the AC-side frequency, the inductor current in the boost converter--responsible for supplying power to the inverter--also contains this 100 Hz frequency component. This occurs because the inductor current fluctuates to meet the alternating power demand of the R-L load on the AC side. While the DC link voltage remains steady at around 60 V, the current drawn by the inductor mirrors the sinusoidal nature of the load's power consumption, oscillating at twice the AC mains frequency (100 Hz). Figure 16 presents the experimental comparison of the capacitor voltage (a) and inductor current (b) between the proposed method and the PI-based MPC method from references [18; 19; 20], with results obtained using the ILA. In both cases, a sampling step of 5 \(\upmu\)s is used. The system response to a step load change from 45 \(\Omega\) to 22.5 \(\Omega\) is shown. The proposed method demonstrates a significantly faster response, with the capacitor voltage stabilizing more quickly and with smaller overshoot, while the PI-based MPC method shows slower recovery. Similarly, the inductor current in the proposed method settles much faster than in the PI-based MPC approach, highlighting its superior dynamic performance. These experimental results closely match the simulation results previously obtained, confirming the proposed method's performance in achieving faster voltage and current regulation during sudden load changes. Figure 16: Experimental results comparing (**a**) capacitor voltage and (**b**) inductor current between the proposed method and references [18; 19; 20], obtained using the ILA. The step change corresponds to a load transition from 45 \(\Omega\) to 22.5 \(\Omega\). Figure 15: Performance of the proposed FCS-MPC method applied to a boost converter connected to a single-phase H-bridge inverter controlled by sinusoidal PWM.