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A comparative study of linear and nonlinear optimal control of a three-tank system

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dc.title A comparative study of linear and nonlinear optimal control of a three-tank system en
dc.contributor.author Emebu, Samuel
dc.contributor.author Kubalčík, Marek
dc.contributor.author Backi, Christoph Josef
dc.contributor.author Janáčová, Dagmar
dc.relation.ispartof ISA Transactions
dc.identifier.issn 0019-0578 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.2022.06.002
dc.relation.uri https://www.sciencedirect.com/science/article/pii/S0019057822002968
dc.subject ACADO en
dc.subject Hamilton-Jacobi equation en
dc.subject linear optimal control en
dc.subject nonlinear optimal control en
dc.subject three-tank-system en
dc.description.abstract In this work, a laboratory scaled industrial interconnected nonlinear Multi-Input|Multi-Output (MIMO) three-tank system, was modelled to control the liquid levels. Ensuing the tradition in the process industry to apply linear controller to most control processes, a linear control scheme was developed for this system. However, since linear schemes are proximate to actual process models, they may not be adequate, especially for highly nonlinear systems. Therefore, a nonlinear control scheme was also developed and compared with the linear scheme. Specifically, optimal linear and nonlinear controllers were designed. In summary, the results of the two control schemes showed adequate performance. However, the linear controller had more robust control and required lesser computational demand compared to the nonlinear scheme. To enhance the computational demand of the nonlinear scheme, a third-party MATLAB toolbox, Automatic Control and Dynamic Optimization (ACADO) toolbox, that interfaces MATLAB with C++ to speed up computations was also utilised, and its results compared, and tentatively validate the earlier solved nonlinear control scheme. © 2022 ISA en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1011046
utb.identifier.obdid 43883620
utb.identifier.scopus 2-s2.0-85133224887
utb.identifier.wok 000931769800001
utb.identifier.coden ISATA
utb.source j-scopus
dc.date.accessioned 2022-07-18T13:31:11Z
dc.date.available 2022-07-18T13:31:11Z
dc.description.sponsorship IGA/CebiaTech/2022/002; Univerzita Tomáše Bati ve Zlíně
utb.ou Department of Automation and Control Engineering
utb.ou Department of Process Control
utb.contributor.internalauthor Emebu, Samuel
utb.contributor.internalauthor Kubalčík, Marek
utb.contributor.internalauthor Janáčová, Dagmar
utb.fulltext.affiliation Samuel Emebu a,d,* , Marek Kubalčík b , Christoph Josef Backi c , Dagmar Janáčová a a Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 76005, Zlín, Czech Republic b Department of Process Control, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 76005, Zlín, Czech Republic c Department of Chemical Engineering, Faculty of Natural Sciences, Norwegian University of Science and Technology, Høgskoleringen 1, 7491 Trondheim, Norway d Department of Chemical Engineering, Faculty of Engineering, University of Benin, PO Box 1154, Benin City, Nigeria ∗ Corresponding author. E-mail addresses: [email protected] (S. Emebu), [email protected] (M. Kubalčík), [email protected] (C.J. Backi), [email protected] (D. Janáčová).
utb.fulltext.dates Received 16 July 2021 Received in revised form 2 June 2022 Accepted 2 June 2022 Available online xxxx
utb.fulltext.sponsorship This research article received support from the Faculty of Applied Informatics, and Internal Grant Agency (IGA/CebiaTech/2022/002) of the Tomas Bata University, Zlin, Czech Republic.
utb.scopus.affiliation Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 76005, Czech Republic; Department of Process Control, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 76005, Czech Republic; Department of Chemical Engineering, Faculty of Natural Sciences, Norwegian University of Science and Technology, Høgskoleringen 1, Trondheim, 7491, Norway; Department of Chemical Engineering, Faculty of Engineering, University of Benin, PO Box 1154, Benin City, Nigeria
utb.fulltext.projects IGA/CebiaTech/2022/002
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.ou Department of Automation and Control Engineering
utb.fulltext.ou Department of Process Control
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