Full-state feedback LQR with integral gain for control of induction heating of steel billet

Sohaibullah Zarghoon; Samuel Emebu; Radek Matušů; Cyril Belavý; Lukáš Bartalský; Stanislav Ďuriš; Sabir Husnain; Clara Mendoza Martinez

Engineering Science and Technology, an International Journal (Jul 2024)

Full-state feedback LQR with integral gain for control of induction heating of steel billet

Sohaibullah Zarghoon,
Samuel Emebu,
Radek Matušů,
Cyril Belavý,
Lukáš Bartalský,
Stanislav Ďuriš,
Sabir Husnain,
Clara Mendoza Martinez

Affiliations

Sohaibullah Zarghoon: Institute of Automation, Informatization, and Measurement, Faculty of Mechanical Engineering, Slovak University of Technology, Nám. slobody 17, 812 31 Bratislava, Slovakia
Samuel Emebu: Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic; Department of Chemical Engineering, Faculty of Engineering, University of Benin, PO Box 1154, Benin City, Nigeria; Department of Separation Science, Lappeenranta-Lahti University of Technology LUT, Yliopistonkatu 34, FI-53850 Lappeenranta, Finland; Corresponding author.
Radek Matušů: Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic
Cyril Belavý: Institute of Automation, Informatization, and Measurement, Faculty of Mechanical Engineering, Slovak University of Technology, Nám. slobody 17, 812 31 Bratislava, Slovakia
Lukáš Bartalský: Institute of Automation, Informatization, and Measurement, Faculty of Mechanical Engineering, Slovak University of Technology, Nám. slobody 17, 812 31 Bratislava, Slovakia
Stanislav Ďuriš: Institute of Automation, Informatization, and Measurement, Faculty of Mechanical Engineering, Slovak University of Technology, Nám. slobody 17, 812 31 Bratislava, Slovakia
Sabir Husnain: Department of Mechanical, Mechatronics and Manufacturing Engineering, University of Engineering and Technology Lahore, Lahore, Punjab, Pakistan
Clara Mendoza Martinez: Department of Energy, Lappeenranta-Lahti University of Technology LUT, Yliopistonkatu 34, FI-53850 Lappeenranta, Finland

Journal volume & issue: Vol. 55
p. 101721

Abstract

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Induction heating is widely used in industrial furnaces due to its rapid response and energy efficiency. Computer-aided modelling and simulation are necessary for the design and optimisation of these furnaces. This article focuses on modelling and simulating induction heating of a one-dimensional spatial partial differential model for a rectangular carbon steel billet. The simulation considered temperature dynamics, including the skin effect and heat loss via radiation. The partial differential model was converted into a state-space model for designing a full-state feedback Linear Quadratic Regulator (LQR) with integral action. This controller was effectively applied to regulate the billet’s core temperature from 1000 °C to 1200 °C, under different input, R and state, Q, weighing matrices for the LQR, as well as in the presence of disturbances.

Published in Engineering Science and Technology, an International Journal

ISSN: 2215-0986 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/engineering-science-and-technology-an-international-journal/

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