Different approaches will be presented to minimize control deviations in the case of TMF experiments with high temperature transients (10K/s and higher). An empirically derived algorithm calculates a modified function of the temperature command variable on the basis of the recorded control deviations. In a second approach, a two-zone model of the plant is used for control design. The model is first used to design a “soft” PI controller for generating a robust starting output profile, which is used as a basic input reference profile. The remaining error is minimizes by a “fast” PI controller. A third controller approach is realized by determination of an inverse model and its use to determine an “ideal” profile of the command variable as a reference input profile.