ZMP-Based Online Jumping Pattern Generation for a One-Legged Robot

This paper is aimed at presenting a method to generate online jumping patterns, which can be applied to one-legged jumping robots and optionally to humanoid robots. Our proposed method is based on ensuring the overall dynamic balance through the complete jumping cycle. To be able to reach this goal, we discretized the zero moment point equation in polar coordinates so that we are able to include angular momentum information in a natural way. Thus, undesired torso angle fluctuation is expected to be more restrainable compared to other methods in which angular momentum information is ignored or zero referenced. Moreover, we unified support and flight phases in terms of motion generation. Having obtained successful simulation results and vertical jumping experiments in our previous work, we conducted forward jumping experiments. As the result, we obtained successful and repetitive jumping cycles, which satisfactorily verify the proposed method.

[1]  Martin Buehler,et al.  Design, control, and energetics of an electrically actuated legged robot , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[2]  Kemalettin Erbatur,et al.  Natural ZMP Trajectories for Biped Robot Reference Generation , 2009, IEEE Transactions on Industrial Electronics.

[3]  Qinghua Li,et al.  A biped walking robot having a ZMP measurement system using universal force-moment sensors , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[4]  Kazuhito Yokoi,et al.  A Running Controller of Humanoid Biped HRP-2LR , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[5]  Atsuo Kawamura,et al.  Mechanical and electrical design of a two segmental eight-legged mobile robot for planetary exploration , 2008 .

[6]  Kazuhiro Kosuge,et al.  Dance Step Estimation Method Based on HMM for Dance Partner Robot , 2007, IEEE Transactions on Industrial Electronics.

[7]  Atsuo Kawamura,et al.  The Development of Biped Robot MARI-3 for Fast Walking and Running , 2006, 2006 6th IEEE-RAS International Conference on Humanoid Robots.

[8]  A. Kawamura,et al.  Real-time jumping trajectory generation for a one legged jumping robot , 2008, 2008 34th Annual Conference of IEEE Industrial Electronics.

[9]  Atsuo Kawamura,et al.  Simulation of an autonomous biped walking robot including environmental force interaction , 1998, IEEE Robotics Autom. Mag..

[10]  A. Kawamura,et al.  Two legged jumping simulation and experiment on biped robot MARI-3 , 2008, 2008 10th IEEE International Workshop on Advanced Motion Control.

[11]  Ken Chen,et al.  Gait Synthesis and Sensory Control of Stair Climbing for a Humanoid Robot , 2008, IEEE Transactions on Industrial Electronics.

[12]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[13]  Kazuhito Yokoi,et al.  A hop towards running humanoid biped , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[14]  Parul Gupta,et al.  Futuristic Humanoid Robots: An Overview , 2006, First International Conference on Industrial and Information Systems.

[15]  Miomir Vukobratovic,et al.  Zero-Moment Point - Thirty Five Years of its Life , 2004, Int. J. Humanoid Robotics.

[16]  Ryosuke Tajima,et al.  Motion having a Flight Phase: Experiments Involving a One-legged Robot , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[17]  Atsuo Kawamura,et al.  Real-time running and jumping pattern generation for bipedal robots based on ZMP and Euler's equations , 2009, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[18]  Shuuji Kajita,et al.  ZMP-based Biped Running Enhanced by Toe Springs , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[19]  Hirokazu Seki,et al.  A Study of Energy-Saving Shoes for Robot Considering Lateral Plane Motion , 2008, IEEE Transactions on Industrial Electronics.

[20]  Roland Siegwart,et al.  Robots meet Humans-interaction in public spaces , 2005, IEEE Transactions on Industrial Electronics.

[21]  Masayuki Inaba,et al.  A Fast Dynamically Equilibrated Walking Trajectory Generation Method of Humanoid Robot , 2002, Auton. Robots.

[22]  Kouhei Ohnishi,et al.  A Bipedal Locomotion Planning Based on Virtual Linear Inverted Pendulum Mode , 2006 .