Elaboración, Control e Implementación de un sistema Ball & Beam
This research presents the development of a classical PID control system for the Ball & Beam model, aimed at stabilizing the position of a ball on an inclined beam. A low-cost prototype was built, integrating seven 3D-printed components and four electronic devices: an Arduino UNO, a Sharp GP2Y0A...
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| Natura: | bachelorThesis |
| Lingua: | spa |
| Pubblicazione: |
2025
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| Accesso online: | https://dspace.unl.edu.ec/jspui/handle/123456789/32386 |
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| _version_ | 1857832974952693760 |
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| author | Jiménez Quizhpe, Jefferson Michael |
| author_facet | Jiménez Quizhpe, Jefferson Michael |
| author_role | author |
| collection | Repositorio Universidad Nacional de Loja |
| dc.contributor.none.fl_str_mv | Ortega Reyes, Cristian Vinicio |
| dc.creator.none.fl_str_mv | Jiménez Quizhpe, Jefferson Michael |
| dc.date.none.fl_str_mv | 2025-04-11T21:34:14Z 2025-04-11T21:34:14Z 2025-04-11 |
| dc.format.none.fl_str_mv | 81 p. application/pdf |
| dc.identifier.none.fl_str_mv | https://dspace.unl.edu.ec/jspui/handle/123456789/32386 |
| dc.language.none.fl_str_mv | spa |
| dc.publisher.none.fl_str_mv | Loja |
| dc.rights.none.fl_str_mv | http://creativecommons.org/licenses/by-nc-sa/3.0/ec/ info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositorio Universidad Nacional de Loja instname:Universidad Nacional de Loja instacron:UNL |
| dc.subject.none.fl_str_mv | PROTOTIPO MODELO MATEMATICO |
| dc.title.none.fl_str_mv | Elaboración, Control e Implementación de un sistema Ball & Beam |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/bachelorThesis |
| description | This research presents the development of a classical PID control system for the Ball & Beam model, aimed at stabilizing the position of a ball on an inclined beam. A low-cost prototype was built, integrating seven 3D-printed components and four electronic devices: an Arduino UNO, a Sharp GP2Y0A21YK0F infrared sensor, an MG995 servo motor, and a power supply. The mathematical model was formulated using the Lagrangian method, and the transfer function was derived with MATLAB and LabVIEW, achieving a 97.28% fit. The PID control was implemented and tuned using LabVIEW, through programming blocks that read sensor data, calculate PID parameters, and control the servo motor. The interface included tools for real-time data plotting and logging measurements to Excel files. The system proved to be stable and efficient during real-world testing, validating the derived transfer function as a reliable tool for designing control strategies. This development integrates mechanical design, mathematical modeling, automatic control, and programming, offering a functional and affordable solution for educational purposes. |
| eu_rights_str_mv | openAccess |
| format | bachelorThesis |
| id | UNL_dbb9fc462f52c2bb362d71fdab52793e |
| instacron_str | UNL |
| institution | UNL |
| instname_str | Universidad Nacional de Loja |
| language | spa |
| network_acronym_str | UNL |
| network_name_str | Repositorio Universidad Nacional de Loja |
| oai_identifier_str | oai:dspace.unl.edu.ec:123456789/32386 |
| publishDate | 2025 |
| publisher.none.fl_str_mv | Loja |
| reponame_str | Repositorio Universidad Nacional de Loja |
| repository.mail.fl_str_mv | * |
| repository.name.fl_str_mv | Repositorio Universidad Nacional de Loja - Universidad Nacional de Loja |
| repository_id_str | 0 |
| rights_invalid_str_mv | http://creativecommons.org/licenses/by-nc-sa/3.0/ec/ |
| spelling | Elaboración, Control e Implementación de un sistema Ball & BeamJiménez Quizhpe, Jefferson MichaelPROTOTIPOMODELO MATEMATICOThis research presents the development of a classical PID control system for the Ball & Beam model, aimed at stabilizing the position of a ball on an inclined beam. A low-cost prototype was built, integrating seven 3D-printed components and four electronic devices: an Arduino UNO, a Sharp GP2Y0A21YK0F infrared sensor, an MG995 servo motor, and a power supply. The mathematical model was formulated using the Lagrangian method, and the transfer function was derived with MATLAB and LabVIEW, achieving a 97.28% fit. The PID control was implemented and tuned using LabVIEW, through programming blocks that read sensor data, calculate PID parameters, and control the servo motor. The interface included tools for real-time data plotting and logging measurements to Excel files. The system proved to be stable and efficient during real-world testing, validating the derived transfer function as a reliable tool for designing control strategies. This development integrates mechanical design, mathematical modeling, automatic control, and programming, offering a functional and affordable solution for educational purposes.Esta investigación desarrolla un sistema de control PID clásico para el modelo Ball & Beam, diseñado para estabilizar la posición de una pelota sobre una viga inclinada. Se construyó un prototipo de bajo costo, que integra siete piezas impresas en 3D y cuatro dispositivos electrónicos (Arduino UNO, sensor infrarrojo Sharp GP2Y0A21YK0F, servomotor MG995 y una fuente de alimentación). El modelo matemático se formuló utilizando el método de Lagrange y la función de transferencia se derivó mediante MATLAB y LabVIEW, logrando un ajuste del 97.28%. El control PID fue implementado y ajustado mediante LabVIEW, utilizando bloques de programación para leer los datos del sensor, calcular los parámetros PID y controlar el servomotor. La interfaz incluyó herramientas para graficar datos en tiempo real y registrar mediciones en archivos Excel. El sistema demostró ser estable y eficaz en pruebas reales, validando la función de transferencia derivada como una herramienta confiable para el diseño de estrategias de control. Este desarrollo integra diseño mecánico, modelado matemático, control automático y programación, ofreciendo una solución funcional y asequible para la educaciónLojaOrtega Reyes, Cristian Vinicio2025-04-11T21:34:14Z2025-04-11T21:34:14Z2025-04-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bachelorThesis81 p.application/pdfhttps://dspace.unl.edu.ec/jspui/handle/123456789/32386spahttp://creativecommons.org/licenses/by-nc-sa/3.0/ec/info:eu-repo/semantics/openAccessreponame:Repositorio Universidad Nacional de Lojainstname:Universidad Nacional de Lojainstacron:UNL2025-05-02T14:09:11Zoai:dspace.unl.edu.ec:123456789/32386Institucionalhttps://dspace.unl.edu.ec/Universidad públicahttps://unl.edu.ec/https://dspace.unl.edu.ec/oaiEcuador***opendoar:02025-05-02T14:09:11falseInstitucionalhttps://dspace.unl.edu.ec/Universidad públicahttps://unl.edu.ec/https://dspace.unl.edu.ec/oai*Ecuador***opendoar:02025-05-02T14:09:11Repositorio Universidad Nacional de Loja - Universidad Nacional de Lojafalse |
| spellingShingle | Elaboración, Control e Implementación de un sistema Ball & Beam Jiménez Quizhpe, Jefferson Michael PROTOTIPO MODELO MATEMATICO |
| status_str | publishedVersion |
| title | Elaboración, Control e Implementación de un sistema Ball & Beam |
| title_full | Elaboración, Control e Implementación de un sistema Ball & Beam |
| title_fullStr | Elaboración, Control e Implementación de un sistema Ball & Beam |
| title_full_unstemmed | Elaboración, Control e Implementación de un sistema Ball & Beam |
| title_short | Elaboración, Control e Implementación de un sistema Ball & Beam |
| title_sort | Elaboración, Control e Implementación de un sistema Ball & Beam |
| topic | PROTOTIPO MODELO MATEMATICO |
| url | https://dspace.unl.edu.ec/jspui/handle/123456789/32386 |