Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation

Detalhes bibliográficos
Autor(a) principal: Trentin, João Francisco Silva [UNESP]
Data de Publicação: 2020
Outros Autores: Da Silva, Samuel [UNESP], De Souza Ribeiro, Jean Marcos [UNESP], Schaub, Hanspeter
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/ACCESS.2020.2988800
http://hdl.handle.net/11449/200393
Resumo: Reaction wheels have been extensively used to control and stabilize a wide range of applications due to the angular momentum exchange that they provide to mechanical systems. However, there exist several limitations associated with actuator saturation and the presence of singularities that lead towards the use of different controllers and devices. Recently, a new and unusual configuration using two reaction wheels was proposed and illustrated in an inverted pendulum to drive and control it using a simple and well-known PID controller. In this context, this paper improves the previous results on the same system by proposing two more sophisticated nonlinear controllers: a nonlinear proportional-derivative and a sliding mode controller. The proof of the stability of each controller is also provided, and the asymptotic stability is proven. A friction model is experimentally updated into the differential equations of the pendulum and also included for the controllers designing. A real-time application verifies the performance of the controllers using low-cost hardware. Results based on the analysis of different performance indices highlight the improvement of applying these two nonlinear control techniques comparing to the previous paper using this configuration of actuators.
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spelling Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and ImplementationInverted pendulumlow-cost hardwarereaction wheelssliding mode controlReaction wheels have been extensively used to control and stabilize a wide range of applications due to the angular momentum exchange that they provide to mechanical systems. However, there exist several limitations associated with actuator saturation and the presence of singularities that lead towards the use of different controllers and devices. Recently, a new and unusual configuration using two reaction wheels was proposed and illustrated in an inverted pendulum to drive and control it using a simple and well-known PID controller. In this context, this paper improves the previous results on the same system by proposing two more sophisticated nonlinear controllers: a nonlinear proportional-derivative and a sliding mode controller. The proof of the stability of each controller is also provided, and the asymptotic stability is proven. A friction model is experimentally updated into the differential equations of the pendulum and also included for the controllers designing. A real-time application verifies the performance of the controllers using low-cost hardware. Results based on the analysis of different performance indices highlight the improvement of applying these two nonlinear control techniques comparing to the previous paper using this configuration of actuators.Departamento de Engenharia Mecânica Faculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista (UNESP)Departamento de Engenharia Elétrica Faculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista (UNESP)Department of Aerospace Engineering Sciences Colorado Center for Astrodynamics Research University of Colorado BoulderDepartamento de Engenharia Mecânica Faculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista (UNESP)Departamento de Engenharia Elétrica Faculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista (UNESP)Universidade Estadual Paulista (Unesp)University of Colorado BoulderTrentin, João Francisco Silva [UNESP]Da Silva, Samuel [UNESP]De Souza Ribeiro, Jean Marcos [UNESP]Schaub, Hanspeter2020-12-12T02:05:23Z2020-12-12T02:05:23Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article74922-74932http://dx.doi.org/10.1109/ACCESS.2020.2988800IEEE Access, v. 8, p. 74922-74932.2169-3536http://hdl.handle.net/11449/20039310.1109/ACCESS.2020.29888002-s2.0-85084458318Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE Accessinfo:eu-repo/semantics/openAccess2024-07-04T20:06:14Zoai:repositorio.unesp.br:11449/200393Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:31:07.220839Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
title Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
spellingShingle Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
Trentin, João Francisco Silva [UNESP]
Inverted pendulum
low-cost hardware
reaction wheels
sliding mode control
title_short Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
title_full Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
title_fullStr Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
title_full_unstemmed Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
title_sort Inverted Pendulum Nonlinear Controllers Using Two Reaction Wheels: Design and Implementation
author Trentin, João Francisco Silva [UNESP]
author_facet Trentin, João Francisco Silva [UNESP]
Da Silva, Samuel [UNESP]
De Souza Ribeiro, Jean Marcos [UNESP]
Schaub, Hanspeter
author_role author
author2 Da Silva, Samuel [UNESP]
De Souza Ribeiro, Jean Marcos [UNESP]
Schaub, Hanspeter
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
University of Colorado Boulder
dc.contributor.author.fl_str_mv Trentin, João Francisco Silva [UNESP]
Da Silva, Samuel [UNESP]
De Souza Ribeiro, Jean Marcos [UNESP]
Schaub, Hanspeter
dc.subject.por.fl_str_mv Inverted pendulum
low-cost hardware
reaction wheels
sliding mode control
topic Inverted pendulum
low-cost hardware
reaction wheels
sliding mode control
description Reaction wheels have been extensively used to control and stabilize a wide range of applications due to the angular momentum exchange that they provide to mechanical systems. However, there exist several limitations associated with actuator saturation and the presence of singularities that lead towards the use of different controllers and devices. Recently, a new and unusual configuration using two reaction wheels was proposed and illustrated in an inverted pendulum to drive and control it using a simple and well-known PID controller. In this context, this paper improves the previous results on the same system by proposing two more sophisticated nonlinear controllers: a nonlinear proportional-derivative and a sliding mode controller. The proof of the stability of each controller is also provided, and the asymptotic stability is proven. A friction model is experimentally updated into the differential equations of the pendulum and also included for the controllers designing. A real-time application verifies the performance of the controllers using low-cost hardware. Results based on the analysis of different performance indices highlight the improvement of applying these two nonlinear control techniques comparing to the previous paper using this configuration of actuators.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T02:05:23Z
2020-12-12T02:05:23Z
2020-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1109/ACCESS.2020.2988800
IEEE Access, v. 8, p. 74922-74932.
2169-3536
http://hdl.handle.net/11449/200393
10.1109/ACCESS.2020.2988800
2-s2.0-85084458318
url http://dx.doi.org/10.1109/ACCESS.2020.2988800
http://hdl.handle.net/11449/200393
identifier_str_mv IEEE Access, v. 8, p. 74922-74932.
2169-3536
10.1109/ACCESS.2020.2988800
2-s2.0-85084458318
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv IEEE Access
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 74922-74932
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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