Параметрическая идентификация модели объекта управления по переходной функции работающей системы автоматического регулирования

Abstract

It is known that the dynamic properties of industrial objects in control channels usually change significantly with a change in their mode of operation. Therefore, the indicators of quality of regulation with constant settings of automatic regulators also change, and, as a rule, they deteriorate during the operation of the units. In this connection, the problem arises of periodically adjusting the settings of regulators in the circuits of operating automatic control systems (ATS). This problem can be solved only by the actual dynamic parameters of the object being operated, therefore, the work considers the task of estimating these parameters, and according to the actual data of the operating closed system. In this case, a step perturbation is used either on the instructions or on the part of the regulator (on the load), the experienced reaction of the system to disturbances of any kind along the indicated channels can also be used. The control object is described by a second-order differential equation with delay. The parametric identification criterion is quadratic, either modular or minimax. The identification task is solved with the help of a program that implements the method of coordinate descent, the resulting one-dimensional minimization problems are solved with the help of a subroutine using the golden section method. For the numerical integration of the object equation, the Runge-Kutta method was used with an error proportional to the fifth power of the time step. In this paper, we tested the developed programs for parametric identification based on the experimental transient characteristics of ATS pressure in a metallurgical furnace. The numerical-analytical procedures for adjusting the regulators in the SAR by the found parameters of the control object are indicated.