Synthesis of an Electric Arc Furnace Electrode Movement Control System Based on Feedback Linearization with PI or PI μ Controllers

Andriy Lozynskyy, Jacek Kozyra (), Andriy Kutsyk, Zbigniew Łukasik, Aldona Kuśmińska-Fijałkowska and Lidiia Kasha
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Andriy Lozynskyy: Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland
Jacek Kozyra: Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland
Andriy Kutsyk: Institute of Power Engineering and Control System, L’viv Polytechnic National University, 79-013 L’viv, Ukraine
Zbigniew Łukasik: Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland
Aldona Kuśmińska-Fijałkowska: Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland
Lidiia Kasha: Institute of Power Engineering and Control System, L’viv Polytechnic National University, 79-013 L’viv, Ukraine

Energies, 2025, vol. 18, issue 18, 1-25

Abstract: An approach is proposed for the synthesis of the control system for the electrode movement of an arc steelmaking furnace based on a combination of the feedback linearization method and a traditional PI controller. The application of fractional PI μ controllers in such a control system using the Caputo–Fabrizio representation for their description is analyzed. The use of such controllers provides transient characteristics ranging from those of a modal control system to the characteristics of a system with a classical PI controller that was developed using feedback linearization. The comparison between proposed controllers is conducted by the ISE and ITAE indexes. The effectiveness of the synthesized control systems is demonstrated by research results using both single-phase and three-phase models of the electrode movement system in an arc steelmaking furnace.

Keywords: feedback linearization; PI and fractional-order PI μ controllers; Caputo–Fabrizio representation; electric arc steel furnace; electrode movement system; control system design (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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