ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS
Autor(a) principal: | |
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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/10.1063/1.4904584 http://hdl.handle.net/11449/186387 |
Resumo: | This paper presents a robustness analysis of an air heating plant with a multivariable closed-loop control law by using the polynomial chaos methodology (MPC). The plant consists of a PVC tube with a fan in the air input (that forces the air through the tube) and a mass flux sensor in the output. A heating resistance warms the air as it flows inside the tube, and a thermo-couple sensor measures the air temperature. The plant has thus two inputs (the fan's rotation intensity and heat generated by the resistance, both measured in percent of the maximum value) and two outputs (air temperature and air mass flux, also in percent of the maximal value). The mathematical model is obtained by System Identification techniques. The mass flux sensor, which is nonlinear, is linearized and the delays in the transfer functions are properly approximated by non-minimum phase transfer functions. The resulting model is transformed to a state-space model, which is used for control design purposes. The multivariable robust control design techniques used is the LQG/LTR, and the controllers are validated in simulation software and in the real plant. Finally, the MPC is applied by considering some of the system's parameters as random variables (one at a time, and the system's stochastic differential equations are solved by expanding the solution (a stochastic process) in an orthogonal basis of polynomial functions of the basic random variables. This method transforms the stochastic equations in a set of deterministic differential equations, which can be solved by traditional numerical methods (That is the MPC). Statistical data for the system (like expected values and variances) are then calculated. The effects of randomness in the parameters are evaluated in the open-loop and closed-loop pole's positions. |
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ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOSRobust ControlPolynomial ChaosAir HeatingThis paper presents a robustness analysis of an air heating plant with a multivariable closed-loop control law by using the polynomial chaos methodology (MPC). The plant consists of a PVC tube with a fan in the air input (that forces the air through the tube) and a mass flux sensor in the output. A heating resistance warms the air as it flows inside the tube, and a thermo-couple sensor measures the air temperature. The plant has thus two inputs (the fan's rotation intensity and heat generated by the resistance, both measured in percent of the maximum value) and two outputs (air temperature and air mass flux, also in percent of the maximal value). The mathematical model is obtained by System Identification techniques. The mass flux sensor, which is nonlinear, is linearized and the delays in the transfer functions are properly approximated by non-minimum phase transfer functions. The resulting model is transformed to a state-space model, which is used for control design purposes. The multivariable robust control design techniques used is the LQG/LTR, and the controllers are validated in simulation software and in the real plant. Finally, the MPC is applied by considering some of the system's parameters as random variables (one at a time, and the system's stochastic differential equations are solved by expanding the solution (a stochastic process) in an orthogonal basis of polynomial functions of the basic random variables. This method transforms the stochastic equations in a set of deterministic differential equations, which can be solved by traditional numerical methods (That is the MPC). Statistical data for the system (like expected values and variances) are then calculated. The effects of randomness in the parameters are evaluated in the open-loop and closed-loop pole's positions.Univ Sao Paulo, Polytech Sch, LAC PTC, Sao Paulo, BrazilSao Paulo State Univ, Sorocaba, BrazilSao Paulo State Univ, Rio Claro, BrazilUniv Brasilia, Brasilia, DF, BrazilSao Paulo State Univ, Sorocaba, BrazilSao Paulo State Univ, Rio Claro, BrazilAmer Inst PhysicsUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Universidade de Brasília (UnB)Colon, DiegoFerreira, Murillo A. S. [UNESP]Balthazar, Jose M. [UNESP]Bueno, Atila M. [UNESP]Rosa, Suelia de S. R. F.Sivasundaram, S.2019-10-04T20:35:01Z2019-10-04T20:35:01Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject235-244http://dx.doi.org/10.1063/1.490458410th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014). Melville: Amer Inst Physics, v. 1637, p. 235-244, 2014.0094-243Xhttp://hdl.handle.net/11449/18638710.1063/1.4904584WOS:000347812200027Web 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/openAccess2021-10-22T21:15:52Zoai:repositorio.unesp.br:11449/186387Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T21:15:52Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS |
title |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS |
spellingShingle |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS Colon, Diego Robust Control Polynomial Chaos Air Heating |
title_short |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS |
title_full |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS |
title_fullStr |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS |
title_full_unstemmed |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS |
title_sort |
ROBUSTNESS ANALYSIS OF AN AIR HEATING PLANT AND CONTROL LAW BY USING POLYNOMIAL CHAOS |
author |
Colon, Diego |
author_facet |
Colon, Diego Ferreira, Murillo A. S. [UNESP] Balthazar, Jose M. [UNESP] Bueno, Atila M. [UNESP] Rosa, Suelia de S. R. F. Sivasundaram, S. |
author_role |
author |
author2 |
Ferreira, Murillo A. S. [UNESP] Balthazar, Jose M. [UNESP] Bueno, Atila M. [UNESP] Rosa, Suelia de S. R. F. Sivasundaram, S. |
author2_role |
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 Ferreira, Murillo A. S. [UNESP] Balthazar, Jose M. [UNESP] Bueno, Atila M. [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 |
This paper presents a robustness analysis of an air heating plant with a multivariable closed-loop control law by using the polynomial chaos methodology (MPC). The plant consists of a PVC tube with a fan in the air input (that forces the air through the tube) and a mass flux sensor in the output. A heating resistance warms the air as it flows inside the tube, and a thermo-couple sensor measures the air temperature. The plant has thus two inputs (the fan's rotation intensity and heat generated by the resistance, both measured in percent of the maximum value) and two outputs (air temperature and air mass flux, also in percent of the maximal value). The mathematical model is obtained by System Identification techniques. The mass flux sensor, which is nonlinear, is linearized and the delays in the transfer functions are properly approximated by non-minimum phase transfer functions. The resulting model is transformed to a state-space model, which is used for control design purposes. The multivariable robust control design techniques used is the LQG/LTR, and the controllers are validated in simulation software and in the real plant. Finally, the MPC is applied by considering some of the system's parameters as random variables (one at a time, and the system's stochastic differential equations are solved by expanding the solution (a stochastic process) in an orthogonal basis of polynomial functions of the basic random variables. This method transforms the stochastic equations in a set of deterministic differential equations, which can be solved by traditional numerical methods (That is the MPC). Statistical data for the system (like expected values and variances) are then calculated. The effects of randomness in the parameters are evaluated in the open-loop and closed-loop pole's positions. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-01-01 2019-10-04T20:35:01Z 2019-10-04T20:35:01Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1063/1.4904584 10th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014). Melville: Amer Inst Physics, v. 1637, p. 235-244, 2014. 0094-243X http://hdl.handle.net/11449/186387 10.1063/1.4904584 WOS:000347812200027 |
url |
http://dx.doi.org/10.1063/1.4904584 http://hdl.handle.net/11449/186387 |
identifier_str_mv |
10th International Conference On Mathematical Problems In Engineering, Aerospace And Sciences (icnpaa 2014). Melville: Amer Inst Physics, v. 1637, p. 235-244, 2014. 0094-243X 10.1063/1.4904584 WOS:000347812200027 |
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) |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
235-244 |
dc.publisher.none.fl_str_mv |
Amer Inst Physics |
publisher.none.fl_str_mv |
Amer Inst Physics |
dc.source.none.fl_str_mv |
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 |
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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1803047479761960960 |