[en] Analysis of the power supply system of the main booster electromagnet of the Serpukhov synchrotron was carried out in order to improve economic factors and to obtain optimal parameters of magnetic cycle. The power supply system was considered as a non-standard discrete system with constant duration of the basic period. The synthesis of the quick-response electromagnet current amplitude regulator is carried out on the basis of the mathematical model obtained. The application of the space state method allowed one to describe the supply system behaviour in the form of a recurrent relation. The computer calculations have shown that the current amplitude regulator guarantees a fast convergence of the process and the time of transient process, which is close to an optimal value