The problem of modeling the control of the process of biological treatment of polluted waters using fractional regulators is considered and solved. Mathematical modeling of the biological purification process as a control object is considered, a linear dynamic control model is obtained. The criterion of the quality of automatic control of a fractional regulator by the functioning of a biological water purification system has been introduced. Optimum tunings of fractional regulators are obtained, the dynamics of transient processes of control action and the state of the purification system is investigated. Numerical simulation of fractional and classical control is carried out, a higher efficiency of fractional regulators is shown.
