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Mathematical Problems in Engineering
Volume 2012, Article ID 810597, 13 pages
Research Article

Stabilization of the Ball on the Beam System by Means of the Inverse Lyapunov Approach

1CIC-IPN, Unidad Profesional Adolfo López Mateos, Avendia Juan de Dios Bátiz S/N, Casi Esquire Miguel Othón de Mendizábal, Colonia Nueva Industrial Vallejo, Delegación Gustavo A. Madero, 07738 Mexico City, DF, Mexico
2ESCOM-IPN, 07738 Mexico City, DF, Mexico
3SEPI-ESIME Azcapotzalco, 02250 Mexico City, DF, Mexico

Received 15 November 2011; Accepted 4 January 2012

Academic Editor: Alexander P. Seyranian

Copyright © 2012 Carlos Aguilar-Ibañez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • José de Jesús Rubio, Fidel Meléndez, and Maricela Figueroa, “An observer with controller to detect and reject disturbances,” International Journal of Control, pp. 1–13, 2013. View at Publisher · View at Google Scholar
  • Alexander Krasinskii, and Esfira Krasinskaya, “Modeling of the dynamics of GBB1005 Ball & Beam Educational Control System as a controlled mechanical system with a redundant coordinate,” Science and Education of the Bauman MSTU, vol. 14, no. 01, 2014. View at Publisher · View at Google Scholar
  • Alexander G. Loukianov, Castillo-Toledo, Humberto Valadez Rangel, and Eduardo Bayro-Corrochano, “Sliding control variation for ball-plate system stabilization,” Proceedings of IEEE Workshop on Applications of Computer Vision, 2014. View at Publisher · View at Google Scholar
  • Krasinskii, Il'ina, and Krasinskaya, “Modeling of the Ball and Beam system dynamics as a nonlinear mechatronic system with geometric constraint,” Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki, vol. 27, no. 3, pp. 414–430, 2017. View at Publisher · View at Google Scholar