ABSTRACT The research and application of power inverters and related technologies represent the mainstream development of modern power electronics technology. For the unknown inverter system with measurement noise, a model‐free adaptive iterative learning control (MFAILC) scheme with a low‐pass filter is proposed. The purpose of this work is to achieve high tracking performance in the output voltage even when measurement noise exists. This method not only effectively overcomes the time‐varying parameter uncertainty in the inverter system by using the input/output data of the controlled plant, but also suppresses the measurement noise through the introduced filter. In order to verify the effectiveness of the convergence, tracking ability, and robustness of the proposed method, a simulation is conducted.