Multivariable Non-adaptive Controller Design

Although proportional-integral-derivative (PID) control remains one of the most common control schemes used in industry, its tuning still remains inadequately understood in many applications. This task becomes much more challenging when applied to multi-input multi-output (MIMO) systems. This paper...

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Main Author: Saab, Samer Jr. (author)
Other Authors: Hauser, Michael (author), Ray, Asok (author), Saab, Samer (author)
Format: article
Published: 2020
Online Access:http://hdl.handle.net/10725/11960
https://doi.org/10.1109/TIE.2020.2998753
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
https://ieeexplore.ieee.org/abstract/document/9108578
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author Saab, Samer Jr.
author2 Hauser, Michael
Ray, Asok
Saab, Samer
author2_role author
author
author
author_facet Saab, Samer Jr.
Hauser, Michael
Ray, Asok
Saab, Samer
author_role author
dc.creator.none.fl_str_mv Saab, Samer Jr.
Hauser, Michael
Ray, Asok
Saab, Samer
dc.date.none.fl_str_mv 2020-07-10T09:50:11Z
2020-07-10T09:50:11Z
2020
2020-07-10
dc.identifier.none.fl_str_mv 0278-0046
http://hdl.handle.net/10725/11960
https://doi.org/10.1109/TIE.2020.2998753
Saab, S. S., Hauser, M., & Ray, A. (2020). Multivariable Non-adaptive Controller Design. IEEE Transactions on Industrial Electronics, 68 (7), 6181-6191.
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
https://ieeexplore.ieee.org/abstract/document/9108578
dc.language.none.fl_str_mv en
dc.relation.none.fl_str_mv IEEE Transactions on Industrial Electronics
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.title.none.fl_str_mv Multivariable Non-adaptive Controller Design
dc.type.none.fl_str_mv Article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description Although proportional-integral-derivative (PID) control remains one of the most common control schemes used in industry, its tuning still remains inadequately understood in many applications. This task becomes much more challenging when applied to multi-input multi-output (MIMO) systems. This paper presents the design of a discrete-time robust multivariable (non-adaptive) tracking controller that comes with a simple structure, requires very limited information on the plant model, and is relatively easy to tune. In addition to being easy to tune and implement, an objective of this controller is to deal with a class of large-scale systems with complex dynamics. We analytically demonstrate the robustness and convergence of the closed-loop system for a class of MIMO linear time-varying systems. The overall superiority of the proposed controller is experimentally validated on a Barrett robot arm in a laboratory environment. The paper also provides a stochastic framework of the general setting of the controller. Within this framework, two minimum mean square error optimal solutions of the controller are provided; one is designed for the case where the number of inputs is not greater than the number of outputs, and the other is for the antithesis.
eu_rights_str_mv openAccess
format article
id LAURepo_fc2f4ca759de2d8d6b413335209fdc84
identifier_str_mv 0278-0046
Saab, S. S., Hauser, M., & Ray, A. (2020). Multivariable Non-adaptive Controller Design. IEEE Transactions on Industrial Electronics, 68 (7), 6181-6191.
language_invalid_str_mv en
network_acronym_str LAURepo
network_name_str Lebanese American University repository
oai_identifier_str oai:laur.lau.edu.lb:10725/11960
publishDate 2020
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spelling Multivariable Non-adaptive Controller DesignSaab, Samer Jr.Hauser, MichaelRay, AsokSaab, SamerAlthough proportional-integral-derivative (PID) control remains one of the most common control schemes used in industry, its tuning still remains inadequately understood in many applications. This task becomes much more challenging when applied to multi-input multi-output (MIMO) systems. This paper presents the design of a discrete-time robust multivariable (non-adaptive) tracking controller that comes with a simple structure, requires very limited information on the plant model, and is relatively easy to tune. In addition to being easy to tune and implement, an objective of this controller is to deal with a class of large-scale systems with complex dynamics. We analytically demonstrate the robustness and convergence of the closed-loop system for a class of MIMO linear time-varying systems. The overall superiority of the proposed controller is experimentally validated on a Barrett robot arm in a laboratory environment. The paper also provides a stochastic framework of the general setting of the controller. Within this framework, two minimum mean square error optimal solutions of the controller are provided; one is designed for the case where the number of inputs is not greater than the number of outputs, and the other is for the antithesis.PublishedN/A2020-07-10T09:50:11Z2020-07-10T09:50:11Z20202020-07-10Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0278-0046http://hdl.handle.net/10725/11960https://doi.org/10.1109/TIE.2020.2998753Saab, S. S., Hauser, M., & Ray, A. (2020). Multivariable Non-adaptive Controller Design. IEEE Transactions on Industrial Electronics, 68 (7), 6181-6191.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://ieeexplore.ieee.org/abstract/document/9108578enIEEE Transactions on Industrial Electronicsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/119602021-05-27T09:05:09Z
spellingShingle Multivariable Non-adaptive Controller Design
Saab, Samer Jr.
status_str publishedVersion
title Multivariable Non-adaptive Controller Design
title_full Multivariable Non-adaptive Controller Design
title_fullStr Multivariable Non-adaptive Controller Design
title_full_unstemmed Multivariable Non-adaptive Controller Design
title_short Multivariable Non-adaptive Controller Design
title_sort Multivariable Non-adaptive Controller Design
url http://hdl.handle.net/10725/11960
https://doi.org/10.1109/TIE.2020.2998753
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
https://ieeexplore.ieee.org/abstract/document/9108578