The term in the equation that has the coefficient times the concentration difference is generally termed the oxygen transfer rate (OTR) and the term with the minus sign is the oxygen uptake rate (OUR). By manipulating the feed rate of a limiting nutrient such as sugar, the OUR can be changed thereby effecting the DO. Oxygen consumption must be growth-related for effective control.
The first control of dissolved oxygen was reported with a yeast bioprocess using on/off control of the feed rate (Hospodka, 1966). The time dependency of the DO concentration and dilution rate were not reported. Yamada, et al., (1979) used this technique for controlling the conversion of sorbitol to sorbose by Acetobacter suboxydans. They also implemented control based on the oxygen content of the bioreactor off-gas and obtained a more stable operation than with dissolved oxygen concentration. To improve the control, Konstantinov, et al.,}, (1990) used a more advanced technique where unmeasured, small, rapid disturbances were rejected through manipulation of the agitation rate, which adjusted the OTR. These disturbances were attributed to fluctuations in air flow rate and pressure. Feed rate was changed when the agitation rate moved outside a predetermined window of operation to adjust for OUR changes.