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A nonlinear load is a factor which effects inverterpsilas output voltage waveform in single-phase inverter system. Considering nonlinear characteristic, the load with uncontrollable single-phase rectifier with capacitor filter was modeled. The nonlinear model of the inverter system was obtained based on that. The model was tested to be correct through simulation analysis. Fuzzy control was applied to the nonlinear system which was optimized by genetic algorithm. Simulation results showed optimized fuzzy controller satisfied control system performances.