A method for pressurizing a sterilization chamber of a steam sterilizer with a controlled rate of pressure change. Pressure is increased in the sterilization chamber by opening a steam-to-chamber valve for a pulse duration during each of a plurality of time PERIODS needed to reach a target pressure value. During each time PERIOD, the steam-to-chamber valve is moved to an open state for the duration of the pulse. An error value indicative of the difference between a Theoretical Pressure and a Measured Pressure is determined at the end of each PERIOD. This error value is used to determine the duration of the pulse for the subsequent PERIOD, thereby maintaining a desired rate of pressure change in the sterilization chamber.