Parameter identification of a delayed infinite-dimensional heat-exchanger process based on relay feedback and root loci analysis

Pekař, Libor; Song, Mengjie; Padhee, Subhransu; Dostálek, Petr; Zezulka, František

dc.title	Parameter identification of a delayed infinite-dimensional heat-exchanger process based on relay feedback and root loci analysis	en
dc.contributor.author	Pekař, Libor
dc.contributor.author	Song, Mengjie
dc.contributor.author	Padhee, Subhransu
dc.contributor.author	Dostálek, Petr
dc.contributor.author	Zezulka, František
dc.relation.ispartof	Scientific Reports
dc.identifier.issn	2045-2322 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2022
utb.relation.volume	12
utb.relation.issue	1
dc.type	article
dc.language.iso	en
dc.publisher	Nature Portfolio
dc.identifier.doi	10.1038/s41598-022-13182-5
dc.relation.uri	https://www.nature.com/articles/s41598-022-13182-5
dc.description.abstract	The focus of this contribution is twofold. The first part aims at the rigorous and complete analysis of pole loci of a simple delayed model, the characteristic function of which is represented by a quasi-polynomial with a non-delay and a delay parameter. The derived spectrum constitutes an infinite set, making it a suitable and simple-enough representative of even high-order process dynamics. The second part intends to apply the simple infinite-dimensional model for relay-based parameter identification of a more complex model of a heating-cooling process with heat exchangers. Processes of this type and construction are widely used in industry. The identification procedure has two substantial steps. The first one adopts the simple model with a low computational effort using the saturated relay that provides a more accurate estimation than the standard on/off test. Then, this result is transformed to the estimation of the initial characteristic equation parameters of the complex infinite-dimensional heat-exchanger model using the exact dominant-pole-loci assignment. The benefit of this technique is that multiple model parameters can be estimated under a single relay test. The second step attempts to estimate the remaining model parameters by various numerical optimization techniques and also to enhance all model parameters via the Autotune Variation Plus relay experiment for comparison. Although the obtained unordinary time and frequency domain responses may yield satisfactory results for control tasks, the identified model parameters may not reflect the actual values of process physical quantities.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1011016
utb.identifier.obdid	43884082
utb.identifier.scopus	2-s2.0-85131178889
utb.identifier.wok	000805846400028
utb.identifier.pubmed	35660770
utb.source	J-wok
dc.date.accessioned	2022-06-20T13:11:23Z
dc.date.available	2022-06-20T13:11:23Z
dc.description.sponsorship	College of Polytechnics Jihlava [1170/10/2137, INT/2022/0002]; Czech Science Foundation; GACR [21-45465L]
dc.description.sponsorship	1170/10/2137, INT/2022/0002; GAČR 21-45465L
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.rights.access	openAccess
utb.ou	Department of Automation and Control Engineering
utb.contributor.internalauthor	Pekař, Libor
utb.contributor.internalauthor	Dostálek, Petr
utb.fulltext.affiliation	Libor Pekař http://orcid.org/0000-0002-2401-5886 1,2, Mengjie Song http://orcid.org/0000-0001-6047-8813 3, Subhransu Padhee http://orcid.org/0000-0001-9946-4662 4, Petr Dostálek http://orcid.org/0000-0002-1965-1466 1 & František Zezulka http://orcid.org/0000-0002-4057-6018 2 1 Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, 760 01 Zlín, Czech Republic. 2 Department of Technical Studies, College of Polytechnics Jihlava, Tolstého 1556/16, 586 01 Jihlava, Czech Republic. 3 Department of Energy and Power Engineering, School of Mechanical Engineering, Beijing Institute of Technology, Engine East Building 125, Beijing 100081, China. 4 Department of Electrical and Electronics Engineering, Sambalpur University Institute of Information Technology, Burla, Sambalpur 769018, India. email: pekar@utb.cz
utb.fulltext.dates	Received: 13 October 2021 Accepted: 20 May 2022 Published online: 03 June 2022
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utb.fulltext.sponsorship	This research was supported by the College of Polytechnics Jihlava, under grants no. 1170/10/2137 and INT/2022/0002 "Identification and Control of Time-Delay Systems via Parameter Optimization Methods", and by The Czech Science Foundation under grant no. GACR 21-45465L. P.D. has taken a picture in Fig. 8.
utb.wos.affiliation	[Pekar, Libor; Dostalek, Petr] Tomas Bata Univ Zlin, Fac Appl Informat, Dept Automat & Control Engn, Nam TG Masaryka 5555, Zlin 76001, Czech Republic; [Pekar, Libor; Zezulka, Frantisek] Coll Polytech Jihlava, Dept Tech Studies, Tolsteho 1556-16, Jihlava 58601, Czech Republic; [Song, Mengjie] Beijing Inst Technol, Sch Mech Engn, Dept Energy & Power Engn, Engine East Bldg 125, Beijing 100081, Peoples R China; [Padhee, Subhransu] Sambalpur Univ Inst Informat Technol, Dept Elect & Elect Engn, Burla 769018, Sambalpur, India
utb.scopus.affiliation	Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, Zlín, 760 01, Czech Republic; Department of Technical Studies, College of Polytechnics Jihlava, Tolstého 1556/16, Jihlava, 586 01, Czech Republic; Department of Energy and Power Engineering, School of Mechanical Engineering, Beijing Institute of Technology, Engine East Building 125, Beijing, 100081, China; Department of Electrical and Electronics Engineering, Sambalpur University Institute of Information Technology, Burla, Sambalpur, 769018, India
utb.fulltext.projects	1170/10/2137
utb.fulltext.projects	INT/2022/0002
utb.fulltext.projects	21-45465L
utb.fulltext.faculty	Faculty of Applied Informatics
utb.fulltext.ou	Department of Automation and Control Engineering