From the existence of sum, it is inferred that in (19) can converge to the equilibrium point in a finite time. Then the system state (3) converges to the equilibrium point in finite time. However, in the design of renewable energy system, nftcsmc has chattering or steady-state error. This is because the load is variable, so once the load is highly uncertain, the system (3) will not provide accurate tracking performance, that is, the output voltage of the renewable energy system is not completely equal to the desired sine wave. Therefore, the control signal (15) is modified by adding the FPNN method indicated in (20) - (24), which can suppress chattering in the renewable energy system.<br>Therefore, it is very important to find out the best ntsmc parameter in (15) to maintain the good performance of DC-AC converter. In order to avoid tedious and time-consuming trial and error calculation and obtain the global optimal solution, the optimal value of ntsmc parameters is obtained by BPSO method. Finally, the DC-AC converter in (3) is combined with BPSO method and ntsmc to make it asymptotically stable, so that the tracking error converges to zero in finite time<br>
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