Vol. 21 No. 1 (2018) Cover Image
Vol. 21 No. 1 (2018)

Published: February 28, 2018

Pages: 51-59

Articles

State Feedback Sliding Mode Controller Design for Human Swing Leg System

Abstract

In this paper, the robustness properties of sliding mode control (SMC) which is designed to produce a dynamic output feedback controller to achieve robustness for trajectory tracking of the nonlinear human swing leg system is presented. The human swing leg represents the support of human leg or the humanoid robot leg which is usually modeled as a double pendulum. The thigh and shank of a human leg will respect the pendulum links, hip and knee will connect the upper body to thigh and then shank respectively. The total moments required to move the muscles of thigh and shank are denoted by two external (servomotors) torques applied at the hip and knee joints. The mathematical model of the system is developed. The results show that the proposed controller can robustly stabilize the system and achieve a desirable time response specification.

References

  1. Y. Bazargan-Lari, M. Eghtesad, A. R. Khoogar and A. Mohammad-Zadeh, “Tracking Control of a Human Swing Leg Considering Self-Impact Joint Constraint by Feedback Linearization Method”, Control Engineering and Applied Informatics (CEAI),Vol.17, pp. 99-110, Romania, 2015.
  2. Y. Bazargan-Lari, A. Gholipour, M. Eghtesad, M. Nouri and A. Sayadkooh, “Dynamics and Control of Locomotion of One Leg Walking as Self-Impact Double Pendulum”, International Conference on Control, Instrumentation and Automation (ICCIA), pp.201-206, 2011.
  3. A. Mokhtarian, A. Fattah and S. K. Agrawal, “A passive swing-assistive planar external orthosis for gait training on treadmill”, The Brazilian Society of Mechanical Sciences and Engineering, 2014.
  4. M. Singla, L. Shieh, G. Song, L. Xie and Y. Zhang, “A New Optimal Sliding Mode Controller Design Using Scalar Sign Function”, ISA Transactions, Elsevier Ltd.,2013
  5. L. Wu, P. Shi and H. Gao, “State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems”, IEEE Transactions on Automatic Control, Vol. 55, pp. 1213-1219, 2010.
  6. Y. Bazargan-Lari, M. Eghtesad, A. R. Khoogar and A. Mohammad-Zadeh,, “Adaptive Neural Network Control of a Human Swing Leg as a Double-Pendulum Considering Self-Impact Joint Constraint”, Transactions of the Canadian Society for Mechanical Engineering, Vol. 39, pp. 201-219, 2015.
  7. V. Utkin, J. Guldner, J. Shi, “Sliding Mode Control in Electro-Mechanical Systems”, 2nd ed., CRC Press is an imprint of the Taylor & Francis Group, Boca Raton, London, New York, pp. 10- 20, 2009.
  8. Y. Shtessel, C. Edwards, L. Fridman, A. Levant, "Sliding Mode Control and Observation", Springer Science and Business
  9. Media (birkhauser), New York, pp. 3-10, 2014.
  10. A. Sinha, “Linear Systems Optimal and Robust Control”, CRC Press is an imprint of Taylor and Francis Group, an Informa business, London, New York, pp. 314-317, 2007.
  11. N. Munro, “Sliding Mode Control in Engineering”, Marcel Dekker, Inc., United Stated, America, pp. 29-63, 2002.
  12. R. Desai and H. Geyer, “Robust Swing Leg Placement Under Large Disturbances”, International Conference, Robotics and Biomimetics, IEEE, Guangzhou, China, pp.265-270, 2012.
  13. K. Ono, T. Furuichi and R. Takahashi, “Self-Excited Walking of a Biped Mechanism with Feet”, The International Journal of Robotics Research, Vol. 23, pp.55-68, 2004.
  14. Q. Huang, T. Hase, and K. Ono, “Passive/active unified dynamic walking for biped locomotion”, In Robotics and Biomimetic, ROBIO 2007. IEEE International Conference, pp. 964-971, 2007.
  15. H. Dallali, G. A. Medrano-Cerda and M. Brown,“A Comparison of Multivariable and Decentralized Control Strategies for Robust Humanoid Walking”, CICADA project, University of Manchester, 2010.
  16. R. D. Gregg, T. Lenzi, L. J. Hargrove and J. W. Sensinger, “Virtual Constraint Control of a Powered Prosthetic Leg from Simulation to Experiments with Transfemoral Amputees”, USAMRAA grant, National Institute of Child Health and Human Development (NIH), IEEE, 2014.