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Mathematical Problems in Engineering
Volume 2015, Article ID 736246, 8 pages
http://dx.doi.org/10.1155/2015/736246
Research Article

Robust Control of the Knee Joint Angle of Paraplegic Patients considering Norm-Bounded Uncertainties

1Engenharia Elétrica, Área de Exatas, Faculdade Ingá, Rodovia PR 317, No. 6114, 87035-510 Maringá, PR, Brazil
2Department of Electrical Engineering, Urban Planning and Technology Center, State University of Londrina, Rodovia Celso Garcia Cid PR 445, Km 380, 86057-970 Londrina, PR, Brazil
3Department of Electrical Engineering, Universidade Estadual Paulista (UNESP), Campus de Ilha Solteira, 15385-000 Ilha Solteira, SP, Brazil

Received 4 September 2014; Revised 17 December 2014; Accepted 18 December 2014

Academic Editor: John Gunnar Carlsson

Copyright © 2015 Nilson Moutinho dos Santos 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.

Linked References

  1. R. L. Lieber, P. D. Silva, and D. M. Daniel, “Equal effectiveness of electrical and volitional strength training for quadriceps femoris muscles after anterior cruciate ligament surgery,” Journal of Orthopaedic Research, vol. 14, no. 1, pp. 131–138, 1996. View at Publisher · View at Google Scholar · View at Scopus
  2. R. Gaino, Controle de movimentos de pacientes paraplégicos utilizando modelos Fuzzy T-S, Tese (Doutorado)—Programa de Pós-Gradua ção em Engenharia Elétrica, Universidade Estadual Paulista “Júlio de Mesquita Filho”, Ilha Solteira, São Paulo, Brazil, 2009, (Portuguese).
  3. H. E. Makssoud, D. Guiraud, and P. Poignet, “Mathematical muscle model for functional electrical stimulation control strategies,” in Proceedings of the IEEE International Conference on Robotics and Automation, vol. 2, pp. 1282–1287, New Orleans, La, USA, 2004. View at Scopus
  4. S. J. Dorgan and M. J. O'Malley, “A mathematical model for skeletal muscle activated by N-let pulse trains,” IEEE Transactions on Rehabilitation Engineering, vol. 6, no. 3, pp. 286–299, 1998. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Ferrarin and A. Pedotti, “The relationship between electrical stimulus and joint torque: a dynamic model,” IEEE Transactions on Rehabilitation Engineering, vol. 8, no. 3, pp. 342–352, 2000. View at Publisher · View at Google Scholar · View at Scopus
  6. R. Gaino, M. C. M. Teixeira, A. A. de Carvalho et al., “Realimentação derivativa e modelo fuzzy Takagi-Sugeno para controle da articulação do joelho de pacientes paraplégicos com o uso de acelerômetros,” Brazilian Journal of Biomedical Engineering, vol. 27, no. 2, pp. 67–78, 2011 (Portuguese). View at Publisher · View at Google Scholar
  7. M. C. M. Teixeira, G. S. Deaecto, R. Gaino, E. Assunção, A. A. de Carvalho, and U. C. Farias, “Design of a fuzzy Takagi-Sugeno controller to vary the joint knee angle of paraplegic patients,” in Neural Information Processing, vol. 4234 of Lecture Notes in Computer Science, pp. 118–126, Springer, Berlin, Germany, 2006. View at Publisher · View at Google Scholar
  8. M. A. A. Sanches, R. Gaino, R. F. Kozan et al., “Digital controllers desing considering hardware constraints: application in a paraplegic patient,” Brazilian Journal of Biomedical Engineering, vol. 30, no. 3, pp. 232–241, 2014. View at Publisher · View at Google Scholar
  9. J. Cao, “Improved delay-dependent stability conditions for MIMO networked control systems with nonlinear perturbations,” The Scientific World Journal, vol. 2014, Article ID 196927, 4 pages, 2014. View at Publisher · View at Google Scholar
  10. B. J. Rosa Filho, “Biomecânica Global,” 2013, http://www.wgate.com.br/conteudo/medicinaesaude/fisioterapia/biomecanica.htm.
  11. D. N. T. P. Diogo, L. H. R. Bueno, M. R. Covacic, and R. Gaino, “Modelo Fuzzy Takagi-Sugeno para controle do ângulo de articulação do joelho de pacientes paraplégicos,” Semina: Ciências Exatas e Tecnológicas, vol. 32, no. 2, pp. 215–228, 2012 (Portuguese). View at Publisher · View at Google Scholar
  12. R. Gaino, M. C. M. Teixeira, R. Cardim, A. A. de Carvalho, E. Assunção, and M. A. A. Sanches, “Controle não-linear Takagi-Sugeno do movimento de paraplégicos utilizando acelerômetros,” in XXI Congresso Brasileiro de Engenharia Biomédica, pp. 1254–1257, CBEB, Salvador, Brazil, (Portuguese).
  13. R. Lu, W. Du, J. Wang, and A. Xue, “Robust H2 control for descriptor system based on new bounded real lemma,” Circuits, Systems, and Signal Processing, vol. 28, no. 6, pp. 869–882, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. S. P. Boyd, L. El-Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics, Philadelphia, Pa, USA, 1994.
  15. S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, Cambridge, New York, NY, 7th edition, 2009.
  16. M. R. Covacic, M. C. M. Teixeira, E. Assunção, and R. Gaino, “LMI-based algorithm for strictly positive real systems with static output feedback,” Systems & Control Letters, vol. 61, no. 4, pp. 521–527, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. L. A. V. R. Filho, Filtragem Ótima Robusta em Sistemas Dinâmicos [Dissertação de Mestrado], Faculdade de Engenharia Elétrica e Engenharia de Computação, Universidade Estadual de Campinas, São Paulo, Brazil, 2004, (Portuguese).
  18. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox User's Guide, The Mathworks Inc., Natick, Mass, USA, 1995.