Development of method for determining parameters of regulator for controlling the astatic object of third order

Authors

  • Сергій Сергійович Свістельник Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005, Ukraine https://orcid.org/0000-0001-6856-8645
  • Андрій Геннадійович Ткачук Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005, Ukraine https://orcid.org/0000-0003-2466-6299
  • Тарас Петрович Ільницький Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005, Ukraine https://orcid.org/0000-0002-9811-9960
  • Руслан Вадимович Правденко Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005, Ukraine https://orcid.org/0000-0003-1169-5453

DOI:

https://doi.org/10.15587/2312-8372.2015.37770

Keywords:

automatic control system, regulator, control object, astaticism, transfer function

Abstract

The process of designing the automatic control systems is considered and its main stages are analyzed. The basic laws of regulation and regulators, developed on their basis, are characterized. Types of automatic tuning of regulators consist in three fundamentally important stages: identifying the control object, calculation regulator parameters, more accurate tuning of regulator. Existing methods of regulator choice are considered. It is proposed a new calculation method of regulator parameters to control by astatic object of the third order with astaticism equal to one. The analysis of the qualitative characteristics of the obtaining system is conducted. It is shown that the quality control process is provided using proportional differential control law. It is shown that the calculated parameters of proportional differential regulator provide almost smooth change of initial coordinates of control object, indicating the feasibility of using the proposed method.

Author Biographies

Сергій Сергійович Свістельник, Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005

Senior Lecturer

Department of automated process control and computer technologies

Андрій Геннадійович Ткачук, Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005

Ph.D., Senior Lecturer

Department of automated process control and computer technologies

Тарас Петрович Ільницький, Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005

Department of automated process control and computer technologies

Руслан Вадимович Правденко, Zhytomyr State Technological University, Chernyakhovskogo str., 103, Zhуtomуr, Ukraine, 10005

Department of automated process control and computer technologies

References

  1. Samotokin, B. B. (2001). Lektsii z teorii avtomatychnoho keruvannia. Zhytomyr: ZhITI, 508.
  2. Komissarchik, V. F. (2001). Avtomaticheskoe regulirovanie tehnologicheskih protsessov. Tver': TGTU, 248.
  3. Kuzishchin, V. F., Petrov, S. V. (2012). Nastroika avtomaticheskih reguliatorov s opredeleniem modeli obiekta vtorogo poriadka s zapazdyvaniem po dvum tochkam kompleksnoi chastotnoi harakteristiki. Teploenergetika, № 10, 50-57.
  4. Dikusar, Yu. G., Volkov, A. V., Farafonov, G. V. (2008). Analiticheskie formuly i algoritmy opredeleniia parametrov nastroiki avtomaticheskih reguliatorov energoustanovki. Sbornik nauchnyh trudov SNUIaEiP, № 4 (28), 15-21.
  5. Pisarev, A. V. (2007). Sravnitel'nye issledovaniia raschetnyh metodov opredeleniia parametrov nastroek promyshlennyh PID-reguliatorov. Energetika i teplotehnika. Sbornik nauchnyh trudov NGTU, № 11, 191-200.
  6. Singh, S. Kr., Boolchandani, D., Modani, S. G., Katal, N. (2014). Multi-Objective Optimization of PID Controller for Temperature Control in Centrifugal Machines Using Genetic Algorithm. Research Journal of Applied Sciences, Engineering and Technology, Vol. 7 № 9, 1794-1802.
  7. Mohd, R. (2012). Multi-objective optimization of PID controller parameters using genetic algorithm. A thesis submitted in fulfilment of the requirements for the award of the degree of Master of Engineering (Electrical). Universiti Teknologi Malaysia, Faculty of Electrical Engineering, 104-108.
  8. Chen, Y., Ma, Y., Yun, W. (2013, January 13). Application of Improved Genetic Algorithm in PID Controller Parameters Optimization. TELKOMNIKA Indonesian Journal of Electrical Engineering, Vol. 11, № 3, 1524-1530. doi:10.11591/telkomnika.v11i3.2301
  9. Murray, N. (1990). Nonlinear PID controller. Electrical Engineering, № 1, 154-159.
  10. EBA FINAL draft Regulatory Technical Standards. (2015). BCC Research. Available: http://www.eba.europa.eu/documents/10180/642449/EBA-RTS-2014-06+RTS+on+Prudent+Valuation.pdf
  11. Zhmud', V. A., Polishchuk, A. V. (2012). Raschet mnozhestva koeffitsientov reguliatorov dlia obiekta s dvumia nestatsionarnymi parametrami. Sbornik nauchnyh trudov NGTU, № 3 (69), 59-70.
  12. Bazhanov, V. L., Kuz'min, A. V., Kuz'min, N. V. (2009). Nastroika PID-reguliatorov s pomoshch'iu metoda masshtabirovaniia na obiektah upravleniia s zapazdyvaniem i na obiektah vysokogo poriadka. Avtomatizatsiia v promyshlennosti, № 2, 15-20.
  13. Tiutiunnyk, A. H. (1998). Optymalni i adaptyvni systemy avtomatychnoho keruvannia. Zhytomyr: ZhITI, 512.
  14. Bezvesilnaya, E. N., Tkachuk, A. H. (2014, July 3). Corrected gyrocompass synthesis as a system with changeable structure for aviation gravimetric system with piezoelectric gravimeter. Aviation, Vol. 18, № 3, 134–140. doi:10.3846/16487788.2014.969878

Downloads

Published

2015-01-29

How to Cite

Свістельник, С. С., Ткачук, А. Г., Ільницький, Т. П., & Правденко, Р. В. (2015). Development of method for determining parameters of regulator for controlling the astatic object of third order. Technology Audit and Production Reserves, 1(3(21), 41–45. https://doi.org/10.15587/2312-8372.2015.37770

Issue

Vol. 1 No. 3(21) (2015): Mathematical modeling. Systems and control processes. Information and control systems

Section

Systems and Control Processes: Original Research

License

Copyright (c) 2016 Сергій Сергійович Свістельник, Андрій Геннадійович Ткачук, Тарас Петрович Ільницький, Руслан Вадимович Правденко

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.