CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2014 |
| Outros Autores: | , , , , , |
| Tipo de documento: | Artigo de conferência |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1063/14904583 http://hdl.handle.net/11449/186386 |
Resumo: | In this paper, we present a mathematical model of a ball and plate system, a control law and analyze its robustness properties by using the polynomial chaos method. The ball rolls without slipping. There is an auxiliary robot vision system that determines the bodies' positions and velocities, and is used for control purposes. The actuators are to orthogonal DC motors, that changes the plate's angles with the ground. The model is a extension of the ball and beam system and is highly nonlinear. The system is decoupled in two independent equations for coordinates x and y. Finally, the resulting nonlinear closed loop systems are analyzed by the polynomial chaos methodology, which considers that some system parameters are random variables, and generates statistical data that can be used in the robustness analysis. |
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CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOSRobust ControlPolynomial ChaosAir HeatingIn this paper, we present a mathematical model of a ball and plate system, a control law and analyze its robustness properties by using the polynomial chaos method. The ball rolls without slipping. There is an auxiliary robot vision system that determines the bodies' positions and velocities, and is used for control purposes. The actuators are to orthogonal DC motors, that changes the plate's angles with the ground. The model is a extension of the ball and beam system and is highly nonlinear. The system is decoupled in two independent equations for coordinates x and y. Finally, the resulting nonlinear closed loop systems are analyzed by the polynomial chaos methodology, which considers that some system parameters are random variables, and generates statistical data that can be used in the robustness analysis.Univ Sao Paulo, Polytech Sch, LAC PTC, Sao Paulo, BrazilSao Paulo State Univ, Rio Claro, BrazilSao Paulo State Univ, Bauru, BrazilSao Paulo State Univ, Sorocaba, BrazilUniv Brasilia, Brasilia, DF, BrazilSao Paulo State Univ, Rio Claro, BrazilSao Paulo State Univ, Bauru, BrazilSao Paulo State Univ, Sorocaba, BrazilAmer Inst PhysicsUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Universidade de Brasília (UnB)Colon, DiegoBalthazar, Jose M. [UNESP]Reis, Celia A. dos [UNESP]Bueno, Atila M. [UNESP]Diniz, Ivando S. [UNESP]Rosa, Suelia de S. R. F.Sivasundaram, S.2019-10-04T20:34:54Z2019-10-04T20:34:54Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject226-234http://dx.doi.org/10.1063/1490458310th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014). Melville: Amer Inst Physics, v. 1637, p. 226-234, 2014.0094-243Xhttp://hdl.handle.net/11449/18638610.1063/14904583WOS:000347812200026Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng10th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014)info:eu-repo/semantics/openAccess2021-10-23T17:52:00Zoai:repositorio.unesp.br:11449/186386Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T17:52Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS |
| title |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS |
| spellingShingle |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS Colon, Diego Robust Control Polynomial Chaos Air Heating |
| title_short |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS |
| title_full |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS |
| title_fullStr |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS |
| title_full_unstemmed |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS |
| title_sort |
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS |
| author |
Colon, Diego |
| author_facet |
Colon, Diego Balthazar, Jose M. [UNESP] Reis, Celia A. dos [UNESP] Bueno, Atila M. [UNESP] Diniz, Ivando S. [UNESP] Rosa, Suelia de S. R. F. Sivasundaram, S. |
| author_role |
author |
| author2 |
Balthazar, Jose M. [UNESP] Reis, Celia A. dos [UNESP] Bueno, Atila M. [UNESP] Diniz, Ivando S. [UNESP] Rosa, Suelia de S. R. F. Sivasundaram, S. |
| author2_role |
author author author author author author |
| dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) Universidade de Brasília (UnB) |
| dc.contributor.author.fl_str_mv |
Colon, Diego Balthazar, Jose M. [UNESP] Reis, Celia A. dos [UNESP] Bueno, Atila M. [UNESP] Diniz, Ivando S. [UNESP] Rosa, Suelia de S. R. F. Sivasundaram, S. |
| dc.subject.por.fl_str_mv |
Robust Control Polynomial Chaos Air Heating |
| topic |
Robust Control Polynomial Chaos Air Heating |
| description |
In this paper, we present a mathematical model of a ball and plate system, a control law and analyze its robustness properties by using the polynomial chaos method. The ball rolls without slipping. There is an auxiliary robot vision system that determines the bodies' positions and velocities, and is used for control purposes. The actuators are to orthogonal DC motors, that changes the plate's angles with the ground. The model is a extension of the ball and beam system and is highly nonlinear. The system is decoupled in two independent equations for coordinates x and y. Finally, the resulting nonlinear closed loop systems are analyzed by the polynomial chaos methodology, which considers that some system parameters are random variables, and generates statistical data that can be used in the robustness analysis. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014-01-01 2019-10-04T20:34:54Z 2019-10-04T20:34:54Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/conferenceObject |
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conferenceObject |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1063/14904583 10th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014). Melville: Amer Inst Physics, v. 1637, p. 226-234, 2014. 0094-243X http://hdl.handle.net/11449/186386 10.1063/14904583 WOS:000347812200026 |
| url |
http://dx.doi.org/10.1063/14904583 http://hdl.handle.net/11449/186386 |
| identifier_str_mv |
10th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014). Melville: Amer Inst Physics, v. 1637, p. 226-234, 2014. 0094-243X 10.1063/14904583 WOS:000347812200026 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
10th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014) |
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info:eu-repo/semantics/openAccess |
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openAccess |
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226-234 |
| dc.publisher.none.fl_str_mv |
Amer Inst Physics |
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Amer Inst Physics |
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Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
| instname_str |
Universidade Estadual Paulista (UNESP) |
| instacron_str |
UNESP |
| institution |
UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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