Systems and methods with the ability to raise the set point temperature immediately after a temperature increase due to radiation exposure, thereby reducing T-dot (rate of change in temperature) errors when trying to cool the inertial system back to its original set point temperature. An example system includes an inertial instrument, a sensor that senses if an increased temperature event has been experienced by the inertial instrument, and a controller device that will increase the set point temperature of the inertial instrument based on the determined increase in temperature. The controller device will also maintain the inertial instrument at a temperature associated with at least one of the sensed increased temperature event or the increased set point temperature.