Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process
This paper deals with one of the possible ways to control multivariable (MIMO) control loops. The suggested control design procedure uses the so-called primary controllers, auxiliary controllers, and also correction members. Parameters of the primary controllers are determined for the optimal contro...
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doaj-664dd8d318534c6a8b0123b46b061abd2021-03-30T01:10:35ZengIEEEIEEE Access2169-35362020-01-0182537256310.1109/ACCESS.2019.29623028945360Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank ProcessPavel Navratil0Libor Pekar1https://orcid.org/0000-0002-2401-5886Radek Matusu2https://orcid.org/0000-0002-5242-7781Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech RepublicDepartment of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech RepublicDepartment of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech RepublicThis paper deals with one of the possible ways to control multivariable (MIMO) control loops. The suggested control design procedure uses the so-called primary controllers, auxiliary controllers, and also correction members. Parameters of the primary controllers are determined for the optimal control pairs using arbitrary single-variable synthesis methods; namely, the modulus optimum method, the balanced tuning method, and the desired model method. The optimal control pairs are determined using the so-called relative gain array tool or the relative normalized gain array tool combined with other tools, as the condition number or the Niederlinski index. The auxiliary feedback controllers serve for ensuring a control loop decoupling. Invariance to load disturbance of a control loop is realized by using the correction members. The novelty lies especially in the combination of the original inverted decoupling with disturbance rejection and provided tuning methods. The proposed control design for a MIMO loop is verified by simulation for the two-variable controlled plant of a quadruple-tank process and evaluated by using various criteria. Moreover, a numerical comparison to some other methods is given to the reader.https://ieeexplore.ieee.org/document/8945360/Control loop decoupling and invariancemultivariable controloptimal control pairsquadruple-tank processsimulation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Pavel Navratil Libor Pekar Radek Matusu |
spellingShingle |
Pavel Navratil Libor Pekar Radek Matusu Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process IEEE Access Control loop decoupling and invariance multivariable control optimal control pairs quadruple-tank process simulation |
author_facet |
Pavel Navratil Libor Pekar Radek Matusu |
author_sort |
Pavel Navratil |
title |
Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process |
title_short |
Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process |
title_full |
Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process |
title_fullStr |
Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process |
title_full_unstemmed |
Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process |
title_sort |
control of a multivariable system using optimal control pairs: a quadruple-tank process |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
This paper deals with one of the possible ways to control multivariable (MIMO) control loops. The suggested control design procedure uses the so-called primary controllers, auxiliary controllers, and also correction members. Parameters of the primary controllers are determined for the optimal control pairs using arbitrary single-variable synthesis methods; namely, the modulus optimum method, the balanced tuning method, and the desired model method. The optimal control pairs are determined using the so-called relative gain array tool or the relative normalized gain array tool combined with other tools, as the condition number or the Niederlinski index. The auxiliary feedback controllers serve for ensuring a control loop decoupling. Invariance to load disturbance of a control loop is realized by using the correction members. The novelty lies especially in the combination of the original inverted decoupling with disturbance rejection and provided tuning methods. The proposed control design for a MIMO loop is verified by simulation for the two-variable controlled plant of a quadruple-tank process and evaluated by using various criteria. Moreover, a numerical comparison to some other methods is given to the reader. |
topic |
Control loop decoupling and invariance multivariable control optimal control pairs quadruple-tank process simulation |
url |
https://ieeexplore.ieee.org/document/8945360/ |
work_keys_str_mv |
AT pavelnavratil controlofamultivariablesystemusingoptimalcontrolpairsaquadrupletankprocess AT liborpekar controlofamultivariablesystemusingoptimalcontrolpairsaquadrupletankprocess AT radekmatusu controlofamultivariablesystemusingoptimalcontrolpairsaquadrupletankprocess |
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1724187489174814720 |