Maximal Output Admissible Set of Foot Position Control in Humanoid Walking

This study describes the maximal output admissible (MOA) set simultaneously considering the COG stabilization based on the linear inverted pendulum model and the foot position control. The MOA set computes a feasible region for stabilizing controller and allows us to predict a falling risk against unknown external disturbances. However, the previous methods have a limitation that they cannot deal with the foot position control. The linear approximation of the support polygon constraint and the coordinate transformation in the control allow us to compute the MOA set of the foot position control.

[1]  Hiroshi Kaminaga,et al.  Mechanism and Control of Whole-Body Electro-Hydrostatic Actuator Driven Humanoid Robot Hydra , 2016, ISER.

[2]  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).

[3]  Yonghwan Oh,et al.  A Theoretical Framework for Stability Regions for Standing Balance of Humanoids Based on Their LIPM Treatment , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[4]  Andrei Herdt,et al.  Online Walking Motion Generation with Automatic Footstep Placement , 2010, Adv. Robotics.

[5]  K. T. Tan,et al.  Linear systems with state and control constraints: the theory and application of maximal output admissible sets , 1991 .

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

[7]  Tomomichi Sugihara,et al.  Standing stabilizability and stepping maneuver in planar bipedalism based on the best COM-ZMP regulator , 2009, 2009 IEEE International Conference on Robotics and Automation.

[8]  Ko Yamamoto,et al.  Control strategy switching for humanoid robots based on maximal output admissible set , 2016, Robotics Auton. Syst..

[9]  M. Vukobratovic,et al.  On the stability of anthropomorphic systems , 1972 .

[10]  Ko Yamamoto,et al.  Humanoid motion analysis and control based on COG viscoelasticity , 2017, Adv. Robotics.