Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty

Matušů, Radek; Senol, Bilal; Pekař, Libor

dc.title	Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty	en
dc.contributor.author	Matušů, Radek
dc.contributor.author	Senol, Bilal
dc.contributor.author	Pekař, Libor
dc.relation.ispartof	ISA Transactions
dc.identifier.issn	0019-0578 Scopus Sources, Sherpa/RoMEO, JCR
dc.identifier.issn	1879-2022 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2022
dc.type	article
dc.language.iso	en
dc.publisher	ISA - Instrumentation, Systems, and Automation Society
dc.identifier.doi	10.1016/j.isatra.2022.04.037
dc.relation.uri	https://www.sciencedirect.com/science/article/pii/S0019057822001999
dc.subject	robust control	en
dc.subject	robust relative stability	en
dc.subject	robust stability	en
dc.subject	robust performance	en
dc.subject	PID controllers	en
dc.subject	unstructured uncertainty	en
dc.subject	H-infinity norm	en
dc.description.abstract	This article deals with the calculation of all robustly relatively stabilizing (or robustly stabilizing as a special case) Proportional-Integral-Derivative (PID) controllers for Linear Time-Invariant (LTI) systems with unstructured uncertainty. The presented method is based on plotting the envelope that corresponds to the trios of P-I-D parameters marginally complying with given robust stability or robust relative stability condition formulated by means of the H infinity norm. Thus, this approach enables obtaining the region of robustly stabilizing or robustly relatively stabilizing controllers in a P-I-D space. The applicability of the technique is demonstrated in the illustrative examples, in which the regions of robustly stabilizing and robustly relatively stabilizing PID controllers are obtained for a controlled plant model with unstructured multiplicative uncertainty and unstructured additive uncertainty. Moreover, the method is also verified on the real laboratory model of a hot-air tunnel, for which two representative controllers from the robust relative stability region are selected and implemented.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1010988
utb.identifier.obdid	43884073
utb.identifier.scopus	2-s2.0-85129925443
utb.identifier.wok	000904647900001
utb.identifier.coden	ISATA
utb.source	j-scopus
dc.date.accessioned	2022-06-10T07:48:32Z
dc.date.available	2022-06-10T07:48:32Z
dc.description.sponsorship	Grantová Agentura České Republiky, GA ČR: 21-45465L
dc.description.sponsorship	Czech Science Foundation (GACR); [21-45465L]
utb.ou	CEBIA-Tech
utb.ou	Department of Automation and Control Engineering
utb.contributor.internalauthor	Matušů, Radek
utb.contributor.internalauthor	Pekař, Libor
utb.fulltext.affiliation	Radek Matušů a,, Bilal Senol b, Libor Pekař c a Centre for Security, Information and Advanced Technologies (CEBIA–Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, 760 01 Zlín, Czech Republic b Department of Computer Engineering, Faculty of Engineering, Inonu University, 44280 Malatya, Turkey c 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 Corresponding author. E-mail address: rmatusu@utb.cz (R. Matušů).
utb.fulltext.dates	Received 20 September 2021 Received in revised form 21 April 2022 Accepted 22 April 2022 Available online xxxx
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utb.fulltext.sponsorship	This work was supported by the Czech Science Foundation (GACR) under Grant No. 21-45465L.
utb.wos.affiliation	[Matusu, Radek] Tomas Bata Univ Zlin, Fac Appl Informat, Ctr Secur Informat & Adv Technol CEBIA Tech, nam TG Masaryka 5555, Zlin 76001, Czech Republic; [Senol, Bilal] Inonu Univ, Fac Engn, Dept Comp Engn, TR-44280 Malatya, Turkey; [Pekar, Libor] Tomas Bata Univ Zlin, Fac Appl Informat, Dept Automat & Control Engn, nam TG Masaryka 5555, Zlin 76001, Czech Republic
utb.scopus.affiliation	Centre for Security, Information and Advanced Technologies (CEBIA–Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, Zlín, 760 01, Czech Republic; Department of Computer Engineering, Faculty of Engineering, Inonu University, Malatya, 44280, Turkey; 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
utb.fulltext.projects	21-45465L
utb.fulltext.faculty	Faculty of Applied Informatics
utb.fulltext.faculty	Faculty of Applied Informatics
utb.fulltext.ou	CEBIA-Tech
utb.fulltext.ou	Department of Automation and Control Engineering