Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.

In this document we present the design of a nonlinear controller based on position and orientation error in order to coordinate the movement of two mobile robots using the leader-follower strategy. Initially, the mathematical model of the differential robot is described, expressed in terms of ordina...

Full description

Autores:
Hernández Suárez, Juan Ángel
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2020
Institución:
Universidad Antonio Nariño
Repositorio:
Repositorio UAN
Idioma:
spa
OAI Identifier:
oai:repositorio.uan.edu.co:123456789/2238
Acceso en línea:
http://repositorio.uan.edu.co/handle/123456789/2238
Palabra clave:
Líder-seguidor,
coordinación,
estimador.
Leader-follower,
coordination,
estimator.
Rights
openAccess
License
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
id UAntonioN2_9ac52ed3e93d7648fb043a0ccbb4fc10
oai_identifier_str oai:repositorio.uan.edu.co:123456789/2238
network_acronym_str UAntonioN2
network_name_str Repositorio UAN
repository_id_str
dc.title.es_ES.fl_str_mv Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
title Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
spellingShingle Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
Líder-seguidor,
coordinación,
estimador.
Leader-follower,
coordination,
estimator.
title_short Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
title_full Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
title_fullStr Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
title_full_unstemmed Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
title_sort Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.
dc.creator.fl_str_mv Hernández Suárez, Juan Ángel
dc.contributor.advisor.spa.fl_str_mv Christian, Erazo Ordoñez
dc.contributor.author.spa.fl_str_mv Hernández Suárez, Juan Ángel
dc.subject.es_ES.fl_str_mv Líder-seguidor,
coordinación,
estimador.
topic Líder-seguidor,
coordinación,
estimador.
Leader-follower,
coordination,
estimator.
dc.subject.keyword.es_ES.fl_str_mv Leader-follower,
coordination,
estimator.
description In this document we present the design of a nonlinear controller based on position and orientation error in order to coordinate the movement of two mobile robots using the leader-follower strategy. Initially, the mathematical model of the differential robot is described, expressed in terms of ordinary linear differential equations, which were simulated and validated using the Matlab software. In Chapter 3 a state observer is proposed to estimate the angular velocity of the differential robot, which will be used for the implementation of the controller. Then it is describe the controller that aims to coordinate mobile robots to follow a path described by a parametric curve, where the leading robot has the reference parametric curve incorporated which will follow the other mobile robots. Finally, remarks and conclusions are presented, taking into account obtained results and future work.
publishDate 2020
dc.date.issued.spa.fl_str_mv 2020-07-21
dc.date.accessioned.none.fl_str_mv 2021-03-02T16:52:28Z
dc.date.available.none.fl_str_mv 2021-03-02T16:52:28Z
dc.type.spa.fl_str_mv Trabajo de grado (Pregrado y/o Especialización)
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_7a1f
dc.type.coarversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
format http://purl.org/coar/resource_type/c_7a1f
dc.identifier.uri.none.fl_str_mv http://repositorio.uan.edu.co/handle/123456789/2238
dc.identifier.bibliographicCitation.spa.fl_str_mv G. L. M. Aranda, C. Sagüés and Y. Mezouar, “Formation control of mobile robots using multiple aerial cameras,” IEEE Transactions on Robotics, vol. 31, no. 4, pp. 1064–1071, 2015.
A. Oviedo, “Robot de seguridad controlado por wifi cerberus 1.0.” Universidad tecnologica de pereira. Trabajo de grado, Colombia, 2016.
I. K. V. Šulák and P. Cˇ icˇák, “Search using a swarmof unmanned aerial vehicles,” 2017 15th International Conference on Emerging eLearning Technologies and Applications (ICETA), pp. 1–6, 2017.
M. J. G. M. Bakhshipoura and F. Namdaria, “Swarm robotics search and rescue: A novel artificial intelligence inspired optimization approach,” Applied Soft Computing 57, pp. 708–726, 2017
B. F. B. P. T. Blender, T. Buchner and C. Schlegel, “Managing a mobile agricultural robot swarm for a seeding task,” IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society, pp. 6879–6886, 2016.
P. L. F. W. y. T. S. J. Varughese, R. Thenius, “A model for bio-inspired underwater swarm robotic exploration,” pp. 385–390, 2018.
J. M. F. Fossum and P. C. Haddow, “Repellent pheromones for effective swarm robot search in unknown environments,” 2014 IEEE Symposium on Swarm Intelligence, pp. 1– 8, 2014.
H. y. S. N. G. F. Fitriana, “Formation control of leader-follower robot using interval type- 2 fuzzy logic controller,” 2017 International Conference on Electrical Engineering and Computer Science (ICECOS), pp. 44–49, 2017
A. G. y M. R. Esfahanian, “Using swarm robots based on leader-followers method for spherical object manipulation,” 2013 First RSI/ISM International Conference on Robotics and Mechatronics (ICRoM), Tehran,, pp. 413–418, 2013
P. P. Ray, “Internet of robotic things: Concept, technologies, and challenges,” IEEE Access, vol. 4, pp. 9489–9500, 2016.
F. T. K. A. Defoort, M. and Perruquetti, “Sliding-mode formation control for cooperative autonomous mobile robots,” IEEE Transactions on Industrial Electronics, vol. 55, pp. 3944–3953, 2008.
X. J. Li, X. and Z. Cai, “Backstepping based multiple mobile robots formation control.,” IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 887– 892, 2005.
O. G. Mariottini, G.L. and D. Prattichizzo, “Image-based visual servoing for nonholonomic mobile robots using epipolar geometry,” IEEE Transactions on Robotics, pp. 425–437, 2005.
P. C. M. van deWouw, Naghshtabrizi and J. Hespanha, “Tracking control for sampled-data systems with uncertain sampling intervals and delays,” International Journal of Robust and Nonlinear Control, pp. 387–411, 2010.
W. Heemels and N. van de Wouw, “Stability and stabilization of networked control systems,” Networked Control Systems, pp. 203–253.
T. A. R. Carnevale, D. and D. Nesic, “A lyapunov proof of an improved maximum allowable transfer interval for networked control systems,” IEEE Transactions on Automatic Control, pp. 892–897, 2007
R. Dhaouadi and A. A. Hatab, “Dynamic modelling of differential-drive mobile robots using lagrange and newton-euler methodologies: A unified framework,” Advances in Robotics and Automation, vol. 2, pp. 1–7, 2013.
M. A. M. V. Leonardo Enrique Solaque Guzmán and E. L. R. Vásquez, “Seguimiento de trayectorias con un robot móvil de configuración diferencial,” Ing. USBmed, vol. 5, no. 1, pp. 26–34, 2014.
M. RÍOS G., LUÍS HERNANDO; BUENO L., “Seguimiento de trayectorias con un robot móvil de configuración diferencial,” Scientia Et Technica, vol. XIV, no. 38, pp. 13–18, 2008.
F. Monasterio-Huelin and A. Gutiérrez, “Modelado de un motor dc,” 2020.
dc.identifier.instname.spa.fl_str_mv instname:Universidad Antonio Nariño
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional UAN
dc.identifier.repourl.spa.fl_str_mv repourl:https://repositorio.uan.edu.co/
url http://repositorio.uan.edu.co/handle/123456789/2238
identifier_str_mv G. L. M. Aranda, C. Sagüés and Y. Mezouar, “Formation control of mobile robots using multiple aerial cameras,” IEEE Transactions on Robotics, vol. 31, no. 4, pp. 1064–1071, 2015.
A. Oviedo, “Robot de seguridad controlado por wifi cerberus 1.0.” Universidad tecnologica de pereira. Trabajo de grado, Colombia, 2016.
I. K. V. Šulák and P. Cˇ icˇák, “Search using a swarmof unmanned aerial vehicles,” 2017 15th International Conference on Emerging eLearning Technologies and Applications (ICETA), pp. 1–6, 2017.
M. J. G. M. Bakhshipoura and F. Namdaria, “Swarm robotics search and rescue: A novel artificial intelligence inspired optimization approach,” Applied Soft Computing 57, pp. 708–726, 2017
B. F. B. P. T. Blender, T. Buchner and C. Schlegel, “Managing a mobile agricultural robot swarm for a seeding task,” IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society, pp. 6879–6886, 2016.
P. L. F. W. y. T. S. J. Varughese, R. Thenius, “A model for bio-inspired underwater swarm robotic exploration,” pp. 385–390, 2018.
J. M. F. Fossum and P. C. Haddow, “Repellent pheromones for effective swarm robot search in unknown environments,” 2014 IEEE Symposium on Swarm Intelligence, pp. 1– 8, 2014.
H. y. S. N. G. F. Fitriana, “Formation control of leader-follower robot using interval type- 2 fuzzy logic controller,” 2017 International Conference on Electrical Engineering and Computer Science (ICECOS), pp. 44–49, 2017
A. G. y M. R. Esfahanian, “Using swarm robots based on leader-followers method for spherical object manipulation,” 2013 First RSI/ISM International Conference on Robotics and Mechatronics (ICRoM), Tehran,, pp. 413–418, 2013
P. P. Ray, “Internet of robotic things: Concept, technologies, and challenges,” IEEE Access, vol. 4, pp. 9489–9500, 2016.
F. T. K. A. Defoort, M. and Perruquetti, “Sliding-mode formation control for cooperative autonomous mobile robots,” IEEE Transactions on Industrial Electronics, vol. 55, pp. 3944–3953, 2008.
X. J. Li, X. and Z. Cai, “Backstepping based multiple mobile robots formation control.,” IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 887– 892, 2005.
O. G. Mariottini, G.L. and D. Prattichizzo, “Image-based visual servoing for nonholonomic mobile robots using epipolar geometry,” IEEE Transactions on Robotics, pp. 425–437, 2005.
P. C. M. van deWouw, Naghshtabrizi and J. Hespanha, “Tracking control for sampled-data systems with uncertain sampling intervals and delays,” International Journal of Robust and Nonlinear Control, pp. 387–411, 2010.
W. Heemels and N. van de Wouw, “Stability and stabilization of networked control systems,” Networked Control Systems, pp. 203–253.
T. A. R. Carnevale, D. and D. Nesic, “A lyapunov proof of an improved maximum allowable transfer interval for networked control systems,” IEEE Transactions on Automatic Control, pp. 892–897, 2007
R. Dhaouadi and A. A. Hatab, “Dynamic modelling of differential-drive mobile robots using lagrange and newton-euler methodologies: A unified framework,” Advances in Robotics and Automation, vol. 2, pp. 1–7, 2013.
M. A. M. V. Leonardo Enrique Solaque Guzmán and E. L. R. Vásquez, “Seguimiento de trayectorias con un robot móvil de configuración diferencial,” Ing. USBmed, vol. 5, no. 1, pp. 26–34, 2014.
M. RÍOS G., LUÍS HERNANDO; BUENO L., “Seguimiento de trayectorias con un robot móvil de configuración diferencial,” Scientia Et Technica, vol. XIV, no. 38, pp. 13–18, 2008.
F. Monasterio-Huelin and A. Gutiérrez, “Modelado de un motor dc,” 2020.
instname:Universidad Antonio Nariño
reponame:Repositorio Institucional UAN
repourl:https://repositorio.uan.edu.co/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.rights.none.fl_str_mv Acceso abierto
dc.rights.license.spa.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Acceso abierto
https://creativecommons.org/licenses/by-nc-nd/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.publisher.spa.fl_str_mv Universidad Antonio Nariño
dc.publisher.program.spa.fl_str_mv Ingeniería Electrónica
dc.publisher.faculty.spa.fl_str_mv Facultad de Ingeniería Mecánica, Electrónica y Biomédica
dc.publisher.campus.spa.fl_str_mv Bogotá - Sur
institution Universidad Antonio Nariño
bitstream.url.fl_str_mv https://repositorio.uan.edu.co/bitstreams/4efcc6e0-088d-45c6-907a-fac182944fa4/download
https://repositorio.uan.edu.co/bitstreams/44eaee41-afa3-46d7-b88f-9af73e3909e9/download
https://repositorio.uan.edu.co/bitstreams/45c1a5cd-c389-44c4-9bf9-75d42aeb6ef3/download
https://repositorio.uan.edu.co/bitstreams/300ed780-74c7-41ac-b445-e9245aae6592/download
bitstream.checksum.fl_str_mv 4dc38a9580cb03ed2c35b7ee64e51914
59f3c5f1d58533bc58bd9c1072ee9b75
9868ccc48a14c8d591352b6eaf7f6239
2e388663398085f69421c9e4c5fcf235
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional UAN
repository.mail.fl_str_mv alertas.repositorio@uan.edu.co
_version_ 1814300364957024256
spelling Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)Acceso abiertohttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Christian, Erazo OrdoñezHernández Suárez, Juan Ángel2021-03-02T16:52:28Z2021-03-02T16:52:28Z2020-07-21http://repositorio.uan.edu.co/handle/123456789/2238G. L. M. Aranda, C. Sagüés and Y. Mezouar, “Formation control of mobile robots using multiple aerial cameras,” IEEE Transactions on Robotics, vol. 31, no. 4, pp. 1064–1071, 2015.A. Oviedo, “Robot de seguridad controlado por wifi cerberus 1.0.” Universidad tecnologica de pereira. Trabajo de grado, Colombia, 2016.I. K. V. Šulák and P. Cˇ icˇák, “Search using a swarmof unmanned aerial vehicles,” 2017 15th International Conference on Emerging eLearning Technologies and Applications (ICETA), pp. 1–6, 2017.M. J. G. M. Bakhshipoura and F. Namdaria, “Swarm robotics search and rescue: A novel artificial intelligence inspired optimization approach,” Applied Soft Computing 57, pp. 708–726, 2017B. F. B. P. T. Blender, T. Buchner and C. Schlegel, “Managing a mobile agricultural robot swarm for a seeding task,” IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society, pp. 6879–6886, 2016.P. L. F. W. y. T. S. J. Varughese, R. Thenius, “A model for bio-inspired underwater swarm robotic exploration,” pp. 385–390, 2018.J. M. F. Fossum and P. C. Haddow, “Repellent pheromones for effective swarm robot search in unknown environments,” 2014 IEEE Symposium on Swarm Intelligence, pp. 1– 8, 2014.H. y. S. N. G. F. Fitriana, “Formation control of leader-follower robot using interval type- 2 fuzzy logic controller,” 2017 International Conference on Electrical Engineering and Computer Science (ICECOS), pp. 44–49, 2017A. G. y M. R. Esfahanian, “Using swarm robots based on leader-followers method for spherical object manipulation,” 2013 First RSI/ISM International Conference on Robotics and Mechatronics (ICRoM), Tehran,, pp. 413–418, 2013P. P. Ray, “Internet of robotic things: Concept, technologies, and challenges,” IEEE Access, vol. 4, pp. 9489–9500, 2016.F. T. K. A. Defoort, M. and Perruquetti, “Sliding-mode formation control for cooperative autonomous mobile robots,” IEEE Transactions on Industrial Electronics, vol. 55, pp. 3944–3953, 2008.X. J. Li, X. and Z. Cai, “Backstepping based multiple mobile robots formation control.,” IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 887– 892, 2005.O. G. Mariottini, G.L. and D. Prattichizzo, “Image-based visual servoing for nonholonomic mobile robots using epipolar geometry,” IEEE Transactions on Robotics, pp. 425–437, 2005.P. C. M. van deWouw, Naghshtabrizi and J. Hespanha, “Tracking control for sampled-data systems with uncertain sampling intervals and delays,” International Journal of Robust and Nonlinear Control, pp. 387–411, 2010.W. Heemels and N. van de Wouw, “Stability and stabilization of networked control systems,” Networked Control Systems, pp. 203–253.T. A. R. Carnevale, D. and D. Nesic, “A lyapunov proof of an improved maximum allowable transfer interval for networked control systems,” IEEE Transactions on Automatic Control, pp. 892–897, 2007R. Dhaouadi and A. A. Hatab, “Dynamic modelling of differential-drive mobile robots using lagrange and newton-euler methodologies: A unified framework,” Advances in Robotics and Automation, vol. 2, pp. 1–7, 2013.M. A. M. V. Leonardo Enrique Solaque Guzmán and E. L. R. Vásquez, “Seguimiento de trayectorias con un robot móvil de configuración diferencial,” Ing. USBmed, vol. 5, no. 1, pp. 26–34, 2014.M. RÍOS G., LUÍS HERNANDO; BUENO L., “Seguimiento de trayectorias con un robot móvil de configuración diferencial,” Scientia Et Technica, vol. XIV, no. 38, pp. 13–18, 2008.F. Monasterio-Huelin and A. Gutiérrez, “Modelado de un motor dc,” 2020.instname:Universidad Antonio Nariñoreponame:Repositorio Institucional UANrepourl:https://repositorio.uan.edu.co/In this document we present the design of a nonlinear controller based on position and orientation error in order to coordinate the movement of two mobile robots using the leader-follower strategy. Initially, the mathematical model of the differential robot is described, expressed in terms of ordinary linear differential equations, which were simulated and validated using the Matlab software. In Chapter 3 a state observer is proposed to estimate the angular velocity of the differential robot, which will be used for the implementation of the controller. Then it is describe the controller that aims to coordinate mobile robots to follow a path described by a parametric curve, where the leading robot has the reference parametric curve incorporated which will follow the other mobile robots. Finally, remarks and conclusions are presented, taking into account obtained results and future work.En este documento se presenta el diseño de un controlador no lineal basado en el error de posición y orientación, para coordinar el movimiento de dos robots móviles utilizando la estrategia líder-seguidor. Inicialmente se describe el modelo matemático del robot diferencial, expresado en terminos de ecuaciones diferenciales lineales ordinarias, el cual se validó haciendo uso del software Matlab. En el Capítulo 3 se propone un observador de estados para estimar velocidad angular del robot diferencial, el cual sera utilizado para la implementación del controlador. En el Capítulo 4 se describe el controlador que tiene como objetivo la coordinación de robots moviles para seguir una trayectoria descrita por una ecuación de curvas paramétricas, donde el robot líder tiene incorporada la curva paramétrica de referencia la cual van a seguir los demas robots moviles. Finalmente se presentan las conclusiones del trabajo de grado, donde se explica los resultados obtenidos, los objetivos cumplidos y futuros trabajos.Ingeniero(a) Electrónico(a)PregradoPresencialspaUniversidad Antonio NariñoIngeniería ElectrónicaFacultad de Ingeniería Mecánica, Electrónica y BiomédicaBogotá - SurLíder-seguidor,coordinación,estimador.Leader-follower,coordination,estimator.Coordinación de robots móviles mediante un controlador-observador no lineal basado en el error de posición de las unidades móviles.Trabajo de grado (Pregrado y/o Especialización)http://purl.org/coar/resource_type/c_7a1fhttp://purl.org/coar/version/c_970fb48d4fbd8a85ORIGINAL2020AutorizacióndeAutores.pdf2020AutorizacióndeAutores.pdfAutorización de autor PDFapplication/pdf943724https://repositorio.uan.edu.co/bitstreams/4efcc6e0-088d-45c6-907a-fac182944fa4/download4dc38a9580cb03ed2c35b7ee64e51914MD512020JuanÁngelHernándezSuárez.pdf2020JuanÁngelHernándezSuárez.pdfTrabjago de grado PDFapplication/pdf4269999https://repositorio.uan.edu.co/bitstreams/44eaee41-afa3-46d7-b88f-9af73e3909e9/download59f3c5f1d58533bc58bd9c1072ee9b75MD52CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.uan.edu.co/bitstreams/45c1a5cd-c389-44c4-9bf9-75d42aeb6ef3/download9868ccc48a14c8d591352b6eaf7f6239MD56LICENSElicense.txtlicense.txttext/plain; charset=utf-82710https://repositorio.uan.edu.co/bitstreams/300ed780-74c7-41ac-b445-e9245aae6592/download2e388663398085f69421c9e4c5fcf235MD57123456789/2238oai:repositorio.uan.edu.co:123456789/22382024-10-09 22:56:50.086https://creativecommons.org/licenses/by-nc-nd/4.0/Acceso abiertorestrictedhttps://repositorio.uan.edu.coRepositorio Institucional UANalertas.repositorio@uan.edu.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