An intelligent pressure management system that controls the pressure inside a cryogenic tank between variable target vapor pressure values and/or ranges that are set as a function of system operating conditions, by actuating an actively controllable valve disposed on a gaseous fluid vapor conduit; and in some embodiments, additionally by actuating an actively controllable valve on a liquefied gaseous fluid conduit, based on a signal received from a pressure sensor that measures the pressure inside the pressurized tank. The variable target vapor pressure values and/or ranges are determined as a function of at least two system operating conditions which can include the vapor volume in the storage space; the fluid flow demanded by the use device; and a measured temperature parameter that correlates to the temperature of the fluid exiting a heater.