Study of the influence of fuzzy cascade controller on characteristics of automatic control system of arc furnace’s electrode movement

User Rating:  / 0


A.O. Lozynskyi, Dr. Sci. (Tech.), Professor, National university “Lviv Polytechnic”, Senior Lecturer of Applied Mathematics "Lviv Polytechnic", Lviv, Ukraine

L.I. Demkiv, Cand. Sci. (Math.), Associate Professor, National university “Lviv Polytechnic”, Senior Lecturer of the Applied Mathematics Department, Lviv, Ukraine


Purpose. To improve the dynamic performance of the of the arc furnaces electrode movement automatic control system with acceptable overshoot of interjacent coordinates.

Methodology. Fuzzy sets for the synthesis of control actions in certain points of the state space are applied. For the values of interjacent coordinates to be within acceptable limits the cascade regulator is applied. The first stage of it activates the desired subsystem with the corresponding weights and the second one limits the output of the regulator in case when interjacent coordinates exceed limits. In order to simplify the synthesis of fuzzy controller the number of terms of each fuzzy variable is significantly limited.

Findings. Comparison of the proposed approach and the approach based on the principle of modal controls for the synthesis of electrode moving automatic control system are held. The quantitative and qualitative benefits of the proposed approach for the synthesis of fuzzy cascade controller system are studied. Besides the analysis of the behavior of the proposed fuzzy controller and fuzzy controllers with fuzzyfication of one and two variables is done. These results demonstrate the feasibility of the cascade controller in arc furnace electrode moving automatic control system.

Originality. In this paper, a method of synthesis that provides both the desired transition process for the initial coordinate and limiting interjacent coordinate system is proposed.

Practical value. The proposed approach improves the adaptation of arc furnace electrode moving automatic control system to different modes.


1. Марущак Я.Ю. Синтез електромеханічних систем з послідовним та паралельним коригуванням / Марущак Я.Ю. – Львів: Видавництво НУ „Львівська політехніка“, 2005. – 207 c.

Marushchak, Ya.Yu. (2005), Syntez elektromekhanichnykh system z poslidovnym ta paralelnym koryhuvanniam [Synthesis of Electromechanical Systems With Serial and Parallel Correction], Vydavnytstvo NU “Lvivska politekhnika”, Lviv, Ukraine.

2. Fitri Yakub, Andika Aji Wijaya and Mustafa Al-ani (2012), “Practical control for two-mass positioning systems in presence of saturation”,Telkomnika, V. 10, No. 1, pp. 91–102.


3. Марущак Я.Ю. Використання стандартних форм розподілу коренів при синтезі електромеханічних систем методом параметричної оптимізації / Я.Ю. Марущак // Вісник Харківського Національного політехнічного університету. Проблеми автоматизованого електроприводу. Теорія і практика. – 2001. – № 10. – C. 88–90.

Marushchak, Ya.Yu. (2001), “The use of standard forms of distribution of roots in the synthesis of electromechanical systems by means of parametric optimization”, Visnyk Kharkivskoho Natsionalnoho Politekhnichnoho Universytetu. Problemy Avtomatyzovanoho Elektropryvodu. Teoriia i Praktyka, KhNPU, Kharkiv,no.10, pp. 88–90.

4. Лозинський А.О. Синтез багатокритеріального оптимального керування зі змінними ваговими коефіцієнтами / А.О. Лозинський, Л.І. Демків // Радіоелектроніка, інформатика, управління. – 2012. – № 1. – C. 144–147.

Lozynskyi, A.O. and Demkiv, L.I. (2012), “Synthesis of multiobjective optimal control with variable weight coefficients”, Radioelektronika, Informatyka, Upravlinnia, no. 1, pp. 144–147.

5. Акимов Л.В. Динамика двухмассовых систем с нетрадиционными регуляторами скорости и наблюдателями состояния / Акимов Л.В., Колотило В.И., Марков В.С. – Харків: ХГПУ, 2000. – 93 c.

Akymov, L.V., Kolotylo, V.Y. and Markov, V.S. (2000), Dinamika dvukhmassovykh sistem s netra-ditsyonnymi reguliatorami skorosti i nabliudatelyami sostoyaniya [The Dynamics of Two-Mass Systems With Non-Traditional Speed Controls and Monitors of the State], KhHPU,Kharkiv, Ukraine.

6. Piegat, A. (2003), Modelowanie i sterowanie rozmyte, “Akademicka Oficyna Wydawnicza EXIT”, Warszawa.

7. Alejandro Aceves-Lopes (2006), “A simplified version of Mamdani's fuzzy controller: the natural logic controller”, IEEE Transactions on fuzzy systems, V. 14, no.1, pp. 16–30.


8. Yager, R.R. and Filev, D.P. (1994),Essentials of fuzzy modeling and control, John Wiley & Sons, New York.


9. Hu B.G., Mann, G.K.I. and Gosine, R.G. (2001), “A systematic study of fuzzy PID controllers function based evaluation approach”,IEEE Trans. on fuzzy systems, V. 9, no. 5, pp. 699–712.

10. Марущак Я.Ю. Динаміка двомасових систем стабілізації режиму в електродугових печах / Марущак Я.Ю., Лозинський А.О., Кушнір А.П. – Львів: Видавництво Львівської політехніки, 2011. – 224 c.

Marushchak, Ya.Yu., Lozynskyi, A.O. and Kushnir,A.P. (2011), Dynamika dvomasovykh system stabilizatsii rezhymu elektroduhovykh pechakh [Two-Mass System'Dynamics of Regime Stability in Electric Arc Furnaces], Vydavnytstvo Lvivskoi politekhniky, Lviv, Ukraine.

Date 2014-09-17 Filesize 626.83 KB Download 387


This Month
All days

Guest Book

If you have questions, comments or suggestions, you can write them in our "Guest Book"

Registration data

ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.


D.Yavornytskyi ave.,19, pavilion 3, room 24-а, Dnipro, 49005
Tel.: +38 (056) 746 32 79.
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
You are here: Home Archive by field of science Electrical engineering Study of the influence of fuzzy cascade controller on characteristics of automatic control system of arc furnace’s electrode movement