Provided herein is a method for automatically controlling inspired oxygen delivery, including: receiving signals representing a plurality of input oxygen saturation (SpO2) values for a patient； generating control values based on the input SpO2 values and a target SpO2 value； and generating output inspired oxygen concentration (FiO2) values based on the control values and reference inspired oxygen concentration (rFiO2) values； wherein the control values include: immediate control values, generated based on the input SpO2 values, the target SpO2 value, and an immediate gain coefficient； accumulation control values, generated based on the input SpO2 values, the target SpO2 value, and an accumulation gain coefficient； and predictive control values, generated based on the input SpO2 values, the target SpO2 value, and a predictive gain coefficient； wherein the immediate gain coefficient is determined based on the rFiO2 value； and wherein a non-linear compensation weighting is applied to the accumulation control value based on a predetermined non-linear relationship between partial pressure of arterial oxygen (PaO2) and SpO2.
