СПЕКТРАЛЬНЫЕ ПЛОТНОСТИ РЕГУЛИРУЕМЫХ ПЕРЕМЕННЫХ ТИПОВЫХ САР И ИХ АППРОКСИМАЦИЯ МАЛОПАРАМЕТРОВЫМИ МОДЕЛЯМИ

В. А. Хобин, С. И. Лагерная

Анотація


Two groups of the mathematical models, which describe changes in the regulated variables of closed automatic control systems as stochastic processes, are considered in the article. The first group is the informative models, obtained on the basis of analytical transformations that represent in the model of the process spectral density all the parameters of the object, regulator and perturbation effects models. The second group is well reflecting the nature of the spectral density formal models with a minimum number of parameters. This makes it possible to identify them in the real time, during the regular operation of the automatic control system. Comparison of models, including computer experiments based on simulation show the potential promise of their application for identifying the parameters of control object models in real time and without opening the control loop of automatic control systems.  In the article the mathematical description of the automatic control system is considered taking into account the features of the  technological type control objects, such as the presence of delay in the control channels, susceptibility to uncontrolled disturbances (intensive coordinate disturbances and parametric, low-frequency disturbances). A detailed considered the procedure for obtaining a mathematical expression for the informative models of the controlled variable spectral density for test typical variants of various system properties and perturbations combinations. The illustrations of the controlled variable of automatic control systems spectral density features are presented for various types of systems. There are also presented the possibility of replacing the informative controlled variable spectral density models with formal ones.

Ключові слова


controlled variable spectral density, automatic control systems, spectral density model, parameters of the object model, formal model, informative model, technological type control objects, identification

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Посилання


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DOI: http://dx.doi.org/10.15673/atbp.v10i4.820

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