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Control of Underactuated Biped Robots Using Event Based Fuzzy Partial Feedback Linearization

Authors: Omid Heydarnia, Akbar Allahverdizadeh, Behnam Dadashzadeh, M. R. Sayyed Noorani


Underactuated biped robots control is one of the interesting topics in robotics. The main difficulties are its highly nonlinear dynamics, open-loop instability, and discrete event at the end of the gait. One of the methods to control underactuated systems is the partial feedback linearization, but it is not robust against uncertainties and disturbances that restrict its performance to control biped walking and running. In this paper, fuzzy partial feedback linearization is presented to overcome its drawback. Numerical simulations verify the effectiveness of the proposed method to generate stable and robust biped walking and running gaits.

Keywords: Underactuated system, biped robot, fuzzy control, partial feedback linearization.

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[1] S. Kochuvila, S. Tripathi, and T. Sudarshan, "Stability of an Underactuated Passive Biped Robot Using Partial Feedback Linearization Technique," Applied Mechanics and Materials, vol. 394, pp. 456-462, 2013.
[2] B. Dadashzadeh, M. Mahjoob, M. Nikkhah Bahrami, and C. Macnab, "Stable active running of a planar biped robot using Poincare map control," Advanced Robotics, vol. 28, pp. 231-244, 2014.
[3] S. Kurode, P. Trivedi, B. Bandyopadhyay, and P. Gandhi, "Second order sliding mode control for a class of underactuated systems," in Variable Structure Systems (VSS), 2012 12th International Workshop on, 2012, pp. 458-462.
[4] R. Yu, Q. Zhu, G. Xia, and Z. Liu, "Sliding mode tracking control of an underactuated surface vessel," IET control theory & applications, vol. 6, pp. 461-466, 2012.
[5] K. R. Muske, H. Ashrafiuon, S. Nersesov, and M. Nikkhah, "Optimal sliding mode cascade control for stabilization of underactuated nonlinear systems," Journal of Dynamic Systems, Measurement, and Control, vol. 134, p. 021020, 2012.
[6] M. W. Spong, "Partial feedback linearization of underactuated mechanical systems," in Intelligent Robots and Systems' 94.'Advanced Robotic Systems and the Real World', IROS'94. Proceedings of the IEEE/RSJ/GI International Conference on, 1994, pp. 314-321.
[7] M. W. Spong, "Underactuated mechanical systems," in Control problems in robotics and automation, ed: Springer, 1998, pp. 135-150.
[8] W. Wang, J. Yi, D. Zhao, and D. Liu, "Design of a stable sliding-mode controller for a class of second-order underactuated systems," IEE Proceedings-Control Theory and Applications, vol. 151, pp. 683-690, 2004.
[9] Z. Zhang and S. S. Ge, "Partial feedback linearization control of space flexible-link manipulator with geometric nonlinearity," in Information and Automation (ICIA), 2014 IEEE International Conference on, 2014, pp. 1102-1107.
[10] Y. Akutsu, F. Asano, and I. Tokuda, "Passive dynamic walking of compass-like biped robot with dynamic absorbers," in Intelligent Robots and Systems (IROS 2014), 2014 IEEE/RSJ International Conference on, 2014, pp. 4855-4860.
[11] R. M. Alexander, "Three uses for springs in legged locomotion," The International Journal of Robotics Research, vol. 9, pp. 53-61, 1990.
[12] C. Chevallereau, G. Bessonnet, G. Abba, and Y. Aoustin, Bipedal robots: modeling, design and walking synthesis vol. 78: John Wiley & Sons, 2010.
[13] S. Tzafestas, M. Raibert, and C. Tzafestas, "Robust sliding-mode control applied to a 5-link biped robot," Journal of Intelligent and Robotic Systems, vol. 15, pp. 67-133, 1996.
[14] M. Nikkhah, H. Ashrafiuon, and F. Fahimi, "Robust control of underactuated bipeds using sliding modes," Robotica, vol. 25, pp. 367-374, 2007.
[15] L. M. Liu and W. Liang, "Adaptive asymptotic stable biped locomotion," in Control Conference (CCC), 2014 33rd Chinese, 2014, pp. 8375-8380.
[16] S. Kochuvila, S. Tripathi, and T. Sudarshan, "Control of a Compass Gait Biped Robot Based on Partial Feedback Linearization," in Advances in Autonomous Robotics, ed: Springer, 2012, pp. 117-127.
[17] B.-K. Cho and J.-H. Oh, "Running pattern generation with a fixed point in a 2D planar biped," International Journal of Humanoid Robotics, vol. 6, pp. 241-264, 2009.
[18] A. D. Kuo, "Stabilization of lateral motion in passive dynamic walking," The International journal of robotics research, vol. 18, pp. 917-930, 1999.
[19] C. E. Bauby and A. D. Kuo, "Active control of lateral balance in human walking," Journal of biomechanics, vol. 33, pp. 1433-1440, 2000.
[20] C. Zhou and K. Jagannathan, "Adaptive network based fuzzy control of a dynamic biped walking robot," in Intelligence and Systems, 1996., IEEE International Joint Symposia on, 1996, pp. 109-116.
[21] A. Takhmar, M. Alghooneh, and S. A. A. Moosavian, "Chattering Eliminated and Stable Motion of Biped Robots Using a Fuzzy Sliding Mode Controller," Majlesi Journal of Electrical Engineering, vol. 7, 2012.
[22] Y. Hurmuzlu and D. B. Marghitu, "Rigid body collisions of planar kinematic chains with multiple contact points," The international journal of robotics research, vol. 13, pp. 82-92, 1994.
[23] E. R. Westervelt, J. W. Grizzle, C. Chevallereau, J. H. Choi, and B. Morris, Feedback control of dynamic bipedal robot locomotion: Citeseer, 2007.
[24] I. Manchester, U. Mettin, F. Iida, and R. Tedrake, "Stable dynamic walking over rough terrain: Theory and experiment," in ISRR 2009, 2009, pp. 1-16.
[25] L.A. Zadeh, "Fuzzy sets," Information and Control, Volume 8, Issue 3, Pages 338–353, June 1965.