The invention relates to the field of control and is suitable for use in conjunction with PID(PI) controllers or in manual control without a controller. The proposed invention increases the response rate of the system in the event of a change in a set action (task), thus reducing the time of the transition process tn.n. (see figure 3). This technical result is achieved in that in the event of a change in a task, the proposed system provides, over a certain time, a value (corrected task) that is different from the required value in order to arrive rapidly at the required value. The corrected task can be either greater or less than the required value or can contain a sequence of values that are either greater or less than the required value.