Abstract
This paper deals with the control of a passivity based walking biped robot on a level surface using partial feedback linearization technique. A stable reference trajectory is generated from the Lagrangian dynamics of the biped robot and it is shown that the under actuated robot can follow the stable limit cycle trajectory using a control law based on partial feedback linearization approach. A comparison of the above approach with the conventional feedback linearization technique in terms of the Mean Square Error (MSE) is also carried out. Simulation of the forward walking is done on a compass like model of the biped robot.
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References
Zhou, C., Yue, P.K., Ni, J., Chan, S.-B.: Dynamically stable gait planning for a humanoid robot to climb sloping surface. In: Proc. of the 2004 IEEE Conference on Robotics, Automation and Mechatronics, Singapore, pp. 341–346 (2004)
Park, J.H., Kim, E.S.: Foot and Body control of biped robots to walk on irregularly protruded uneven surfaces. IEEE Transactions on Systems, Man, and Cybernetics—Part B: Cybernetics 39(1), 289–297 (2009)
Li, J., Chen, W.: Modeling and control for a biped robot on uneven surfaces. In: Proc. of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, P.R. China, pp. 2960–2965 (2009)
Kajita, S., Morisawa, M., Miura, K., Nakaoka, S., Harada, K., Kaneko, K., Kanehiro, F., Yokoi, K.: Biped walking stabilization based on linear inverted pendulum tracking. In: Proc. of the 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems, Taipei, Taiwan, pp. 4489–4496 (2010)
Honda Corporation, ASIMO robot, http://asimo.honda.com/
McGeer, T.: Passive dynamic walking. Int. J. Robot. Res. 9(2), 62–82 (1990)
Spong, M.W., Bullo, F.: Controlled symmetries and passive walking. IEEE Trans. Automat. Contr. 50(7), 1025–1031 (2005)
Spong, M.W., Holm, J., Lee, D.: Passivity-based control of bipedal locomotion. IEEE Robot. Autom. Mag. 14(2), 30–40 (2007)
Goswami, A., Espiau, B., Keramane, A.: Limit cycles in a passive compass gait biped and passivity mimicking control laws. Autonomous Robots 4(3), 273–286 (1997)
Goswami, A., Thuilot, B., Espiau, B.: A Study of the passive gait of a compass – like biped robot: Symmetry and chaos. Int. J. Robot. Res. 17(12), 1282–1301 (1998)
Chemori, A., Loria, A.: Walking control strategy for a planar under-actuated biped robot based on optimal reference trajectories and partial feedback linearization. In: Proc. of 4th International Workshop on Robot Motion and Control, pp. 61–66 (2004)
Hu, Y., Yan, G., Lin, Z.: Feedback control of planar biped robot with regulable step length and walking speed. IEEE Trans. on Robotics 27(1), 162–169 (2011)
Asano, F.: Stability analysis of underactuated bipedal gait using linearized model. In: Proc. of 11th IEEE-RAS International Conference on Humanoid Robots, pp. 282–287 (2011)
Chen, H., Tian, Y., Li, J., Huang, X.: Modelling and analysis for passive dynamic walker with controlled flat feet. In: Proc. of 8th IEEE Int. Conf. on Contr. and Automat, Xiamen, China, pp. 739–744 (2010)
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Kochuvila, S., Tripathi, S., T.S.B., S. (2012). Control of a Compass Gait Biped Robot Based on Partial Feedback Linearization. In: Herrmann, G., et al. Advances in Autonomous Robotics. TAROS 2012. Lecture Notes in Computer Science(), vol 7429. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32527-4_11
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DOI: https://doi.org/10.1007/978-3-642-32527-4_11
Publisher Name: Springer, Berlin, Heidelberg
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