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

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

dc.title	Full-state feedback LQR with integral gain for control of induction heating of steel billet	en
dc.contributor.author	Zarghoon, Sohaibullah
dc.contributor.author	Emebu, Samuel
dc.contributor.author	Matušů, Radek
dc.contributor.author	Belavý, Cyril
dc.contributor.author	Bartalský, Lukáš
dc.contributor.author	Ďuriš, Stanislav
dc.contributor.author	Husnain, Sabir
dc.contributor.author	Mendoza Martinez, Clara
dc.relation.ispartof	Engineering Science and Technology, an International Journal
dc.identifier.issn	2215-0986 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2024
utb.relation.volume	55
dc.type	article
dc.language.iso	en
dc.publisher	Elsevier B.V.
dc.identifier.doi	10.1016/j.jestch.2024.101721
dc.relation.uri	https://www.sciencedirect.com/science/article/pii/S2215098624001071
dc.relation.uri	https://www.sciencedirect.com/science/article/pii/S2215098624001071/pdfft?md5=ad59a422db9fbe0bf69dcd2294ca7d28&pid=1-s2.0-S2215098624001071-main.pdf
dc.subject	induction heating	en
dc.subject	skin effects	en
dc.subject	carbon steel billet	en
dc.subject	semi-numerical method	en
dc.subject	full-state feedback Linear Quadratic Regulator	en
dc.subject	(LQR)	en
dc.description.abstract	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.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1012059
utb.identifier.scopus	2-s2.0-85194887511
utb.identifier.wok	001249802500001
utb.source	j-scopus
dc.date.accessioned	2024-10-22T08:18:27Z
dc.date.available	2024-10-22T08:18:27Z
dc.description.sponsorship	Anhui University of Technology, AHUT; Univerzita Tomáše Bati ve Zlíně, UTB; Lappeenranta-Lahti University of Technology; Agentúra na Podporu Výskumu a Vývoja, APVV, (APVV 21-0195, APVV-22-0436); Ministry of Education of Slovak Republic, (KEGA-024STU-4/2023); Internal Grant Agency, (IGA/CebiaTech/2023/004)
dc.description.sponsorship	Slovak Research and Development Agency [APVV-22-0436, APVV-21- 0195]; Cultural and Educational Grant Agency of the Ministry of Education of Slovak Republic [KEGA-024STU-4/2023]; Internal Grant Agency of Tomas Bata University [IGA/CebiaTech/2023/004]; Lappeenranta-Lahti University of Technology
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.access	openAccess
utb.ou	Department of Automation and Control Engineering
utb.contributor.internalauthor	Emebu, Samuel
utb.contributor.internalauthor	Matušů, Radek
utb.fulltext.sponsorship	The authors gratefully acknowledge the contribution of the Slovak Research and Development Agency (APVV-22-0436) and (APVV-21-0195), the Cultural and Educational Grant Agency of the Ministry of Education of Slovak Republic (KEGA-024STU-4/2023), the Internal Grant Agency (IGA/CebiaTech/2023/004) of Tomas Bata University, and Lappeenranta-Lahti University of Technology.
utb.wos.affiliation	[Zarghoon, Sohaibullah; Belavy, Cyril; Bartalsky, Lukas; Duris, Stanislav] Slovak Univ Technol Bratislava, Inst Automat Informatizat & Measurement, Fac Mech Engn, Nam Slobody 17, Bratislava 81231, Slovakia; [Emebu, Samuel; Matusu, Radek] Tomas Bata Univ Zlin, Fac Appl Informat, Dept Automat & Control Engn, Stranemi 4511, Zlin 76005, Czech Republic; [Emebu, Samuel] Univ Benin, Fac Engn, Dept Chem Engn, POB 1154, Benin, Nigeria; [Martinez, Clara Mendoza] Lappeenranta Lahti Univ Technol LUT, Dept Energy, Yliopistonkatu 34, FI-53850 Lappeenranta, Finland; [Emebu, Samuel] Lappeenranta Lahti Univ Technol LUT, Dept Separat Sci, Yliopistonkatu 34, FI-53850 Lappeenranta, Finland; [Husnain, Sabir] Univ Engn & Technol Lahore, Dept Mech Mechatron & Mfg Engn, Lahore, Punjab, Pakistan
utb.scopus.affiliation	Institute of Automation, Informatization, and Measurement, Faculty of Mechanical Engineering, Slovak University of Technology, Nám. slobody 17, Bratislava, 812 31, Slovakia; Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 760 05, Czech Republic; Department of Chemical Engineering, Faculty of Engineering, University of Benin, PO Box 1154, Benin City, Nigeria; Department of Energy, Lappeenranta-Lahti University of Technology LUT, Yliopistonkatu 34, Lappeenranta, FI-53850, Finland; Department of Separation Science, Lappeenranta-Lahti University of Technology LUT, Yliopistonkatu 34, Lappeenranta, FI-53850, Finland; Department of Mechanical, Mechatronics and Manufacturing Engineering, University of Engineering and Technology Lahore, Punjab, Lahore, Pakistan
utb.fulltext.projects	APVV-22-0436
utb.fulltext.projects	APVV-21-0195
utb.fulltext.projects	KEGA-024STU-4/2023
utb.fulltext.projects	IGA/CebiaTech/2023/004