The report presents and analyses one of the principles for designing an adaptive system to control time-varying processes. According to this principle, in the processes of self-adjusting, the dynamic characteristics of the system (plant and controller) and the effect of some uncontrolled external disturbances are taken into consideration. This controlled process is close, on the whole, to the predetermined (reference) behaviour in adjusting controller parameters. A high-speed computer, either a digital or an electronic analogue one, is supposed to be included in the loop of the adaptive control, depending upon the method of the process identification. Dynamic characteristics of the system are found by differential equations with time-constant coefficients, by means of which real and reference processes are approximated. In estimating reference values of controller coefficients, the sum of the squares of real coefficient value deviations from the reference ones is minimized. Mechanization problems of computing the above co-efficients by definite servos are discussed. The report deals with some particular applications of the given method for designing such an adaptive control system.