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

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 PIμ 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.