Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado
In this article the mathematical model is explained for a didactic control module where the temperature variable is analyzed. The model being used is necessary to simulate the dynamics of the process and develop some control strategies that can be applied in a real system. With this purpose in mind,...
- Autores:
-
Ortiz Valencia, Paula Andrea
Arias Londoño, Alexánder
Guerreo Peña, Diego Alejandro
- Tipo de recurso:
- Fecha de publicación:
- 2013
- Institución:
- Universidad Santo Tomás
- Repositorio:
- Universidad Santo Tomás
- Idioma:
- spa
- OAI Identifier:
- oai:repository.usta.edu.co:11634/45017
- Acceso en línea:
- http://revistas.ustabuca.edu.co/index.php/ITECKNE/article/view/2720
http://hdl.handle.net/11634/45017
- Palabra clave:
- Rights
- License
- Copyright (c) 2010 ITECKNE
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Ortiz Valencia, Paula AndreaArias Londoño, AlexánderGuerreo Peña, Diego Alejandro2022-06-15T21:55:25Z2022-06-15T21:55:25Z2013-10-24http://revistas.ustabuca.edu.co/index.php/ITECKNE/article/view/272010.15332/iteckne.v7i2.2720http://hdl.handle.net/11634/45017In this article the mathematical model is explained for a didactic control module where the temperature variable is analyzed. The model being used is necessary to simulate the dynamics of the process and develop some control strategies that can be applied in a real system. With this purpose in mind, it is important that the model, which is not the only one, is a trustworthy representation of the purpose of analysis. To obtain the mathematical model, the gray box system is carried out. Here, the mathematical equations that rule the behavior of the process are known in terms of dynamic parameters of the system applied; this is why that the obtaining of the mathematical model is divided into two parts. The first one has to do with the physical equations of the system in terms of some unknown parameters. The second one deals with the way these parameters are found by using minimum squares. Once the mathematical model was done, its worthiness was confirmed. For such a purpose, the validity of the model was proved and it was found to be adequate. This system identification technique can be applied in other process with known physical equations in terms of unknown parameters.En este artículo se plantea el modelo matemático para un módulo didáctico de control donde se analiza la variable temperatura. La obtención de modelo es necesaria para simular la dinámica del proceso y desarrollar estrategias de control que luego puedan ser aplicadas en el sistema real. Con este objetivo, es importante que el modelo, como no es único, sea una representación fidedigna del proceso objeto de análisis. Para obtener el modelo matemático se trabaja el sistema como una caja gris, donde se conocen las ecuaciones matemáticas que rigen el comportamiento del proceso, en términos de parámetros dinámicos del sistema; es por ello que la obtención del modelo matemático se divide en dos partes, la primera, encontrar las ecuaciones físicas del sistema en términos de algunos parámetros desconocidos; la segunda, encontrar estos parámetros con mínimos cuadrados. Una vez obtenido el modelo matemático se procede a comprobar que el modelo si sea confiable, para ello se realizó una validación del modelo obtenido sobre la planta y se encontró que el modelo si era satisfactorio. Esta técnica de identificación de sistemas puede ser aplicada a otros procesos tanto lineales como no lineales, en los cuales se conozcan las ecuaciones físicas del sistema en términos de parámetros desconocidos.application/pdfspaUniversidad Santo Tomás. Seccional Bucaramangahttp://revistas.ustabuca.edu.co/index.php/ITECKNE/article/view/2720/1980ITECKNE; Vol 7 No 2 (2010); 165-174ITECKNE; Vol 7 No 2 (2010); 165-1742339-34831692-1798Copyright (c) 2010 ITECKNEhttp://purl.org/coar/access_right/c_abf2Modelo matemático no lineal en un sistema de temperatura para un recinto cerradoinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb111634/45017oai:repository.usta.edu.co:11634/450172023-07-14 16:02:19.803metadata only accessRepositorio Universidad Santo Tomásnoreply@usta.edu.co |
dc.title.spa.fl_str_mv |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
title |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
spellingShingle |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
title_short |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
title_full |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
title_fullStr |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
title_full_unstemmed |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
title_sort |
Modelo matemático no lineal en un sistema de temperatura para un recinto cerrado |
dc.creator.fl_str_mv |
Ortiz Valencia, Paula Andrea Arias Londoño, Alexánder Guerreo Peña, Diego Alejandro |
dc.contributor.author.none.fl_str_mv |
Ortiz Valencia, Paula Andrea Arias Londoño, Alexánder Guerreo Peña, Diego Alejandro |
description |
In this article the mathematical model is explained for a didactic control module where the temperature variable is analyzed. The model being used is necessary to simulate the dynamics of the process and develop some control strategies that can be applied in a real system. With this purpose in mind, it is important that the model, which is not the only one, is a trustworthy representation of the purpose of analysis. To obtain the mathematical model, the gray box system is carried out. Here, the mathematical equations that rule the behavior of the process are known in terms of dynamic parameters of the system applied; this is why that the obtaining of the mathematical model is divided into two parts. The first one has to do with the physical equations of the system in terms of some unknown parameters. The second one deals with the way these parameters are found by using minimum squares. Once the mathematical model was done, its worthiness was confirmed. For such a purpose, the validity of the model was proved and it was found to be adequate. This system identification technique can be applied in other process with known physical equations in terms of unknown parameters. |
publishDate |
2013 |
dc.date.issued.none.fl_str_mv |
2013-10-24 |
dc.date.accessioned.none.fl_str_mv |
2022-06-15T21:55:25Z |
dc.date.available.none.fl_str_mv |
2022-06-15T21:55:25Z |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.drive.none.fl_str_mv |
info:eu-repo/semantics/article |
dc.identifier.none.fl_str_mv |
http://revistas.ustabuca.edu.co/index.php/ITECKNE/article/view/2720 10.15332/iteckne.v7i2.2720 |
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11634/45017 |
url |
http://revistas.ustabuca.edu.co/index.php/ITECKNE/article/view/2720 http://hdl.handle.net/11634/45017 |
identifier_str_mv |
10.15332/iteckne.v7i2.2720 |
dc.language.iso.none.fl_str_mv |
spa |
language |
spa |
dc.relation.none.fl_str_mv |
http://revistas.ustabuca.edu.co/index.php/ITECKNE/article/view/2720/1980 |
dc.relation.citationissue.spa.fl_str_mv |
ITECKNE; Vol 7 No 2 (2010); 165-174 |
dc.relation.citationissue.eng.fl_str_mv |
ITECKNE; Vol 7 No 2 (2010); 165-174 |
dc.relation.citationissue.none.fl_str_mv |
2339-3483 1692-1798 |
dc.rights.eng.fl_str_mv |
Copyright (c) 2010 ITECKNE |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
rights_invalid_str_mv |
Copyright (c) 2010 ITECKNE http://purl.org/coar/access_right/c_abf2 |
dc.format.mimetype.none.fl_str_mv |
application/pdf |
dc.publisher.eng.fl_str_mv |
Universidad Santo Tomás. Seccional Bucaramanga |
institution |
Universidad Santo Tomás |
repository.name.fl_str_mv |
Repositorio Universidad Santo Tomás |
repository.mail.fl_str_mv |
noreply@usta.edu.co |
_version_ |
1800786421804433408 |