In this study, nonparametric and parametric model based control methods were applied in the control line in order to control the growth medium temperature of aerobic baker's yeast production in a batch bioreactor, and the performance was compared experimentally and theoretically. For a non-parametric model, an experimental reaction curve was found by performing the open-loop step test. The reaction curve was presented by the first order dead time model to represent the dynamic behaviour of the reactor. An Internal Model Control (IMC) system based on a non-parametric model, has been used to track the temperature of the reactor mixture. The simulation program is used to calculate the parameters or the parametric Controlled Auto Regressive Moving Average (CARMA) model for Self-Tuning PID (STPID) control. The parameters of the CARMA model are calculated using Bierman algorithm by applying Pseudo Random Binary Sequence (PRBS).