Biped Walking Trajectory Generator Based on Three-Mass With Angular Momentum Model Using Model Predictive Control

In this paper, we present a biped walking trajectory generator based on the three-mass with angular momentum model using model predictive control. This approach aims to decrease the modeling error and decrease zero moment point (ZMP) horizon, so that high ZMP tracking accuracy and immediate generation are achieved. The contribution of this approach is the use of the three-mass with angular momentum model, the reduction of modeling error, and the enhancement of ZMP tracking performance and walking stability. This method allows online walking pattern modification, so that unexpected emergency can be dealt with by immediately changing trajectories. In addition, this proposed method is validated through numerical simulations, and the proof-of-concept experiments are conducted using an experimental robot developed in our laboratory.

[1]  Mojtaba Ahmadi,et al.  A walking stability controller with disturbance rejection based on CMP criterion and Ground Reaction Force feedback , 2011, 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[2]  Akihiro Suzumura,et al.  Real-Time Motion Generation and Control Systems for High Wheel-Legged Robot Mobility , 2014, IEEE Transactions on Industrial Electronics.

[3]  Kouhei Ohnishi,et al.  Mechanical Recognition of Unknown Environment Using Active/Passive Contact Motion , 2009, IEEE Transactions on Industrial Electronics.

[4]  Hyun Myung,et al.  Online Multiobjective Evolutionary Approach for Navigation of Humanoid Robots , 2015, IEEE Transactions on Industrial Electronics.

[5]  Kazuhito Yokoi,et al.  Introduction to Humanoid Robotics , 2014, Springer Tracts in Advanced Robotics.

[6]  Pierre-Brice Wieber,et al.  Viability and predictive control for safe locomotion , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[7]  Pierre-Brice Wieber,et al.  Online walking gait generation with adaptive foot positioning through Linear Model Predictive control , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[8]  Kazuhito Yokoi,et al.  Biped walking pattern generation by using preview control of zero-moment point , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[9]  Tzuu-Hseng S. Li,et al.  Dynamic Balance Control for Biped Robot Walking Using Sensor Fusion, Kalman Filter, and Fuzzy Logic , 2012, IEEE Transactions on Industrial Electronics.

[10]  Chun-Hung Chen,et al.  Arbitrary biped robot foot gaiting based on variate COM height , 2013, 2013 13th IEEE-RAS International Conference on Humanoid Robots (Humanoids).

[11]  Kazuhito Yokoi,et al.  The 3D linear inverted pendulum mode: a simple modeling for a biped walking pattern generation , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[12]  Kouhei Ohnishi,et al.  Real-Time Walking Trajectory Generation Method With Three-Mass Models at Constant Body Height for Three-Dimensional Biped Robots , 2011, IEEE Transactions on Industrial Electronics.

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

[14]  Sergey V. Drakunov,et al.  Capture Point: A Step toward Humanoid Push Recovery , 2006, 2006 6th IEEE-RAS International Conference on Humanoid Robots.

[15]  Twan Koolen,et al.  Capturability-based analysis and control of legged locomotion, Part 1: Theory and application to three simple gait models , 2011, Int. J. Robotics Res..

[16]  Shuji Hashimoto,et al.  Haptic Sensing Foot System for Humanoid Robot and Ground Recognition With One-Leg Balance , 2011, IEEE Transactions on Industrial Electronics.

[17]  Satoshi Kagami,et al.  High frequency walking pattern generation based on preview control of ZMP , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[18]  Wolfram Burgard,et al.  A Fully Autonomous Indoor Quadrotor , 2012, IEEE Transactions on Robotics.

[19]  Kouhei Ohnishi,et al.  Biped Walking Pattern Generation by Using Preview Control Based on Three-Mass Model , 2013, IEEE Transactions on Industrial Electronics.

[20]  K. Ohnishi,et al.  Real-time walking trajectory generation method at constant body height in single support phase for three-dimensional biped robot , 2009, 2009 IEEE International Conference on Industrial Technology.

[21]  Christopher G. Atkeson,et al.  Push Recovery by stepping for humanoid robots with force controlled joints , 2010, 2010 10th IEEE-RAS International Conference on Humanoid Robots.

[22]  Pierre-Brice Wieber,et al.  Trajectory Free Linear Model Predictive Control for Stable Walking in the Presence of Strong Perturbations , 2006, 2006 6th IEEE-RAS International Conference on Humanoid Robots.

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

[24]  ChangHwan Kim,et al.  Human-Like Motion Generation and Control for Humanoid's Dual Arm Object Manipulation , 2015, IEEE Transactions on Industrial Electronics.