Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Accuracy Analysis of Optimal Trajectory Planning Methods Based on Function Approximation for a Four-DOF Biped Walking Model

  • Peng Chunye (Department of Mechanical Engineering and Science, Tokyo Institute of Technology) ;
  • ONO Kyosuke (Department of Mechanical Engineering and Science, Tokyo Institute of Technology)
  • Published : 2005.01.01
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Abstract

Based on an introduced optimal trajectory planning method, this paper mainly deals with the accuracy analysis during the function approximation process of the optimal trajectory planning method. The basis functions are composed of Hermit polynomials and Fourier series to improve the approximation accuracy. Since the approximation accuracy is affected by the given orders of each basis function, the accuracy of the optimal solution is examined by changing the combinations of the orders of Hermit polynomials and Fourier series as the approximation basis functions. As a result, it is found that the proper approximation basis functions are the $5^{th}$ order Hermit polynomials and the $7^{th}-10^{th}$ order of Fourier series.

Keywords

References

  1. Kuroki, Y., Ishida, T., Yamaguchi, J., Fujita, M. and Doi, T., 2001, A Small Biped Entertainment Robot, Proc. IEEE-RAS Int. Conference on Humanoid Robots, pp. 181-186
  2. Gienger, M., Loffler, K. and Pfeiffer, F., 2001, Towards the Design of Biped Jogging Robot, Proc. IEEE Int. Conference on Robotics and Automation, pp.4140-4145 https://doi.org/10.1109/ROBOT.2001.933265
  3. Hirose, M., Haikawa, Y., Takenaka, T. and Hirai, K., 2001, Development of Humanoid Robot ASIMO, Proc. Int. Conference on Intelligent Robots and Systems, Workshop2
  4. Jessica, R. and James, G., 1993, Human Walking (second edition), Waverly Company
  5. Kaneko, K., Kajita, S., Kanehiro, F., Yokoi, K., Fujiwara, K., Hirukawa, H., Kawasaki, T., Hirata, M. and Isozumi, T., 2002, Design of Advanced Leg Module for Humanoid Robotics Project of METI, Proc. Int. Conference on Robotics Robots and Automation, Washington, DC https://doi.org/10.1109/ROBOT.2002.1013336
  6. Nishiwaki, K., Sugihara, T., Kagami, S., Kanehiro, F., Inaba, M. and Inoue, H., 2000, Design and Development of Research Platform for Perception-Action Integration in Humanod Robot: H6, Proc. Int. Conference on Intelligent Robots and Systems, pp. 1559-1564 https://doi.org/10.1109/IROS.2000.895195
  7. Ono, K. and Liu, R., 2002, Optimal Biped Walking Locomotion Solved by Trajectory Planning Method, ASME Transaction, Journal of Dynamic Systems, Measurement, and Control, Vol. 124 https://doi.org/10.1115/1.1515324AdditionalInformation
  8. Peng, C. and Ono, K., 2003, Numerical Analysis of Energy-efficient Walking Gait with Flexed Knee for a Four-DOF Planar Biped Model, JSME International Journal, 46(4), pp. 1346-1355 https://doi.org/10.1299/jsmec.46.1346
  9. William, P. Saul, T. William, V. and Brian, F., 1992, Numerical Recipes in C (second edition), Cambridge University Press
  10. Yamaguchi, J., Soga, E., Inoue, S. and Takanishi, A., 1999, Development of a Bipedal Humanoid Robot - Control Method of Whole Body Cooperative Dynamic Biped Walking, Proc. IEEE Int. Conference on Robotics and Automation, Workshop2, pp. 368-374 https://doi.org/10.1109/ROBOT.1999.770006