This document summarizes a research paper that proposes a least mean square fourth (LMF) adaptive filtering technique for controlling a single-stage, three-phase grid-connected photovoltaic (PV) inverter system. The LMF-based control algorithm is compared to existing algorithms like SRFT and IRPT, and is found to involve simpler computation, be easier to implement, more stable, faster settling time, and more reliable. Simulations in MATLAB/Simulink show the LMF approach effectively extracts maximum power from the PV system and regulates the DC link voltage even under unbalanced and nonlinear loads. The results demonstrate the efficiency and consistency of the proposed LMF-based control system compared to conventional techniques.