Open AccessOptimizing digital controller of continuous object automatic control system
Author(s) -
V. A. Dorovskoy,
Anton Zinchenko,
Elena Gennad'evna Zinchenko,
Pavel A. Erofeev,
Dmitriy Aleksandrovich Mazin
Publication year - 2022
Publication title -
vestnik astrahanskogo gosudarstvennogo tehničeskogo universiteta. seriâ: morskaâ tehnika i tehnologiâ
Language(s) - English
Resource type - Journals
eISSN - 2225-0352
pISSN - 2073-1574
DOI - 10.24143/2073-1574-2022-1-67-78
Subject(s) - control theory (sociology) , controller (irrigation) , digital control , computer science , quantization (signal processing) , discrete system , pid controller , discrete time and continuous time , open loop controller , transfer function , continuous modelling , control system , mathematics , control engineering , algorithm , control (management) , engineering , artificial intelligence , temperature control , electronic engineering , mathematical analysis , statistics , electrical engineering , closed loop , agronomy , biology
The article gives the analysis of optimizing the digital controller of the automatic control system (ACS) of a continuous object. The procedure for replacing a continuous controller with a discrete controller has been analyzed. The original continuous optimized ACS has been illustrated. It has been stated that the continuous ACS and its elements (all or particular) can be modeled by discrete models described by the difference equations, and not the differential ones, as is done in the case of continuous models. The specification of the sampling period of the PI controller model equal to 0.001 s has been given, the coefficients of the Z-transfer function of the digital PI controller, which is equivalent to a continuous controller, are considered. Of practical importance in the control theory is the representation of a discrete model of a controller, which helps obtain a digital transformation algorithm carried out by a controller over a control error, organize a discrete-digital control of a continuous object using a digital processor. The model with a continuous and discrete controller is illustrated. A formula for calculating the values of the lattice function of the output signal of a discrete controller is obtained. It has been found that sampling and quantization of the error signal, as well as restoring the control signal, should be carried out with the proper accuracy, which should provide the required control accuracy. There are considered the models of discrete-digital control with the correct selection of the parameters of discrete PI controllers, a model with a finite time of the transient process and a structure of its contour, given a fifth-order discrete function with a five-step transition to the steady state. It has been inferred that reducing the sampling period and quantization step significantly increases the processor speed requirements.