UDC 681.515:004.942
ANALYTICAL AND GRAPHICAL MODELING OF CONTROL SYSTEMS BASED ON PID CONTROLLERS
S. V. Skvortsov, Dr. Sc. (Tech.), full professor, RSREU, Ryazan, Russia;
orcid.org/0000-0001-9495-4953, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
V. I. Khryukin, Ph. D. (Tech.), associate professor, RSREU, Ryazan, Russia;
orcid.org/0000-0002-7736-115X, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Т. S. Skvortsovа, Ph. D. (Tech.), lecturer, Academy of the FPS of Russia, Ryazan, Russia;
orcid.org/0000-0001-7504-5973, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
An analytical model of a control system based on PID controller is considered, for which the limited application associated with the inability to meet all requirements for system quality is shown. To eliminate these disadvantages, the authors propose to additionally use a graphical model based on desired logarithmic amplitude-frequency response of the system. The aim of the work is to develop an analytical and graphical model that allows combining the advantages of formalized and non-formalized approaches to the design of modern control systems for technical objects. A technique for parametric synthesis of PID controller, based on this model, has been developed that provides specified requirements for the system in terms of accuracy, speed and quality of transients. The application of the proposed technique is shown on the example of synthesizing a control system for an unstable technical object. The simulation results in Matlab/Simulink environment confirm the possibility of practical implementation of such a control system that provides the specified requirements.
Key words: : technical object control, PID controller synthesis, analytical and graphical model, frequency transfer function, logarithmic amplitude-frequency response.