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Mathematical Problems in Engineering
Volume 2011, Article ID 970786, 14 pages
http://dx.doi.org/10.1155/2011/970786
Research Article

A Multivariable Adaptive Control Approach for Stabilization of a Cart-Type Double Inverted Pendulum

1Control Engineering Department, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 5166616471, Iran
2Electrical Engineering Department, Tehran University, Tehran 5157747343, Iran
3Electrical Engineering Department, Tarbiat Modares University, Tehran 5156913547, Iran

Received 9 August 2010; Revised 5 December 2010; Accepted 7 March 2011

Academic Editor: Maria do Rosário de Pinho

Copyright © 2011 I. Hassanzadeh 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.

  • Hao-chin Chang, Tung-kuan Liu, Geng-jhih Guo, and Yu-cheng Chou, “Design and optimization of multi-modal controller for double inverted pendulums,” 2014 International Conference on Fuzzy Theory and Its Applications (iFUZZY2014), pp. 174–177, . View at Publisher · View at Google Scholar
  • Viroch Sukontanakarn, and Manukid Parnichkun, “Hybrid NN predictive-based LQR controller for rotary double inverted pendulum systems: An analytical study,” International Journal of Automation and Control, vol. 5, no. 4, pp. 337–355, 2011. View at Publisher · View at Google Scholar
  • Vahid Johari Majd, and Saleh Mobayen, “An ISM-based CNF tracking controller design for uncertain MIMO linear systems with multiple time-delays and external disturbances,” Nonlinear Dynamics, vol. 80, no. 1-2, pp. 591–613, 2015. View at Publisher · View at Google Scholar
  • Edward Parrott, and Rickey Dubay, “A robust adaptive control scheme for under-actuated non-linear systems,” 12th Annual IEEE International Systems Conference, SysCon 2018 - Proceedings, pp. 1–5, 2018. View at Publisher · View at Google Scholar