Control of the Gyrover : a single-wheel gyroscopically stabilized robot

Tsai, S - Ferreira, Enrique - Paredis, C

Resumen:

The Gyrover is a single wheel gyroscopically stabilized mobile robot developed at Carnegie Mellon University. An internal pendulum serves as a counter weight for a drive motor that causes fore/aft motion, while a tilt-mechanism on a large gyroscope provides a mechanism for lateral actuation. In this paper we develop a detailed dynamic model for the Gyrover and use this model in an extended Kalman filter to estimate the complete state. A linearized version of the model is used to develop a state feedback controller. The design methodology is based on a semi-definite programming procedure which optimize the stability region subject to a set of linear matrix inequalities that capture stability and pole placement constraints. Finally, the controller design combined with the extended Kalman filter are verified on the prototype.


Detalles Bibliográficos
1999
State feedback
Stability
Wheels
Mobile robots
Counting circuits
Gyroscopes
Linear feedback control systems
Linear programming
Kalman filters
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/20800
Acceso abierto
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author Tsai, S
author2 Ferreira, Enrique
Paredis, C
author2_role author
author
author_facet Tsai, S
Ferreira, Enrique
Paredis, C
author_role author
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collection COLIBRI
dc.creator.none.fl_str_mv Tsai, S
Ferreira, Enrique
Paredis, C
dc.date.accessioned.none.fl_str_mv 2019-05-29T15:28:19Z
dc.date.available.none.fl_str_mv 2019-05-29T15:28:19Z
dc.date.issued.es.fl_str_mv 1999
dc.date.submitted.es.fl_str_mv 20190528
dc.description.abstract.none.fl_txt_mv The Gyrover is a single wheel gyroscopically stabilized mobile robot developed at Carnegie Mellon University. An internal pendulum serves as a counter weight for a drive motor that causes fore/aft motion, while a tilt-mechanism on a large gyroscope provides a mechanism for lateral actuation. In this paper we develop a detailed dynamic model for the Gyrover and use this model in an extended Kalman filter to estimate the complete state. A linearized version of the model is used to develop a state feedback controller. The design methodology is based on a semi-definite programming procedure which optimize the stability region subject to a set of linear matrix inequalities that capture stability and pole placement constraints. Finally, the controller design combined with the extended Kalman filter are verified on the prototype.
dc.identifier.citation.es.fl_str_mv Tsai, S., Ferreira, Enrique, Paredis, C. Control of the Gyrover : a single-wheel gyroscopically stabilized robot [en línea] IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients, 1999.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/20800
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv IEEE
dc.relation.ispartof.es.fl_str_mv IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients, 1999. Proceedings.
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.es.fl_str_mv State feedback
Stability
Wheels
Mobile robots
Counting circuits
Gyroscopes
Linear feedback control systems
Linear programming
Kalman filters
dc.title.none.fl_str_mv Control of the Gyrover : a single-wheel gyroscopically stabilized robot
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description The Gyrover is a single wheel gyroscopically stabilized mobile robot developed at Carnegie Mellon University. An internal pendulum serves as a counter weight for a drive motor that causes fore/aft motion, while a tilt-mechanism on a large gyroscope provides a mechanism for lateral actuation. In this paper we develop a detailed dynamic model for the Gyrover and use this model in an extended Kalman filter to estimate the complete state. A linearized version of the model is used to develop a state feedback controller. The design methodology is based on a semi-definite programming procedure which optimize the stability region subject to a set of linear matrix inequalities that capture stability and pole placement constraints. Finally, the controller design combined with the extended Kalman filter are verified on the prototype.
eu_rights_str_mv openAccess
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identifier_str_mv Tsai, S., Ferreira, Enrique, Paredis, C. Control of the Gyrover : a single-wheel gyroscopically stabilized robot [en línea] IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients, 1999.
instacron_str Universidad de la República
institution Universidad de la República
instname_str Universidad de la República
language eng
language_invalid_str_mv en
network_acronym_str COLIBRI
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publishDate 1999
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
spelling 2019-05-29T15:28:19Z2019-05-29T15:28:19Z199920190528Tsai, S., Ferreira, Enrique, Paredis, C. Control of the Gyrover : a single-wheel gyroscopically stabilized robot [en línea] IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients, 1999.https://hdl.handle.net/20.500.12008/20800The Gyrover is a single wheel gyroscopically stabilized mobile robot developed at Carnegie Mellon University. An internal pendulum serves as a counter weight for a drive motor that causes fore/aft motion, while a tilt-mechanism on a large gyroscope provides a mechanism for lateral actuation. In this paper we develop a detailed dynamic model for the Gyrover and use this model in an extended Kalman filter to estimate the complete state. A linearized version of the model is used to develop a state feedback controller. The design methodology is based on a semi-definite programming procedure which optimize the stability region subject to a set of linear matrix inequalities that capture stability and pole placement constraints. Finally, the controller design combined with the extended Kalman filter are verified on the prototype.Made available in DSpace on 2019-05-29T15:28:19Z (GMT). No. of bitstreams: 4 license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 1999enengIEEEIEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients, 1999. Proceedings.Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessState feedbackStabilityWheelsMobile robotsCounting circuitsGyroscopesLinear feedback control systemsLinear programmingKalman filtersControl of the Gyrover : a single-wheel gyroscopically stabilized robotArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaTsai, SFerreira, EnriqueParedis, 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- Universidad de la Repúblicafalse
spellingShingle Control of the Gyrover : a single-wheel gyroscopically stabilized robot
Tsai, S
State feedback
Stability
Wheels
Mobile robots
Counting circuits
Gyroscopes
Linear feedback control systems
Linear programming
Kalman filters
status_str publishedVersion
title Control of the Gyrover : a single-wheel gyroscopically stabilized robot
title_full Control of the Gyrover : a single-wheel gyroscopically stabilized robot
title_fullStr Control of the Gyrover : a single-wheel gyroscopically stabilized robot
title_full_unstemmed Control of the Gyrover : a single-wheel gyroscopically stabilized robot
title_short Control of the Gyrover : a single-wheel gyroscopically stabilized robot
title_sort Control of the Gyrover : a single-wheel gyroscopically stabilized robot
topic State feedback
Stability
Wheels
Mobile robots
Counting circuits
Gyroscopes
Linear feedback control systems
Linear programming
Kalman filters
url https://hdl.handle.net/20.500.12008/20800