AbstractThe implementation of adaptive control for a fed‐batch culture in order to maximize the output of product based on a self‐adjusting model is discussed in the present work. Optimization methods were applied to the generalized mathematical model of a fed‐batch fermentation process to determine control algorithms that could be used for on‐line process control. The efficiency of the proposed adaptive algorithms was investigated by simulating a model system. The model of amylotytic enzyme fermentation that was proposed by the authors was taken from a real process. Dynamic modelling has shown that the main problem of realization is connected with the on‐line identification of the adaptive model's parameters. To avoid this problem, we have introduced special limitations on the parameters' time variations that increased the convergence of the identification algorithm. The results of the investigation have shown the efficiency of the proposed adaptive algorithms, and the results of this work should be investigated for real process control.