@InProceedings{kajita:iros:2001, author = {Kajita, Shuuji and Kanehiro, Fumio and Kaneko, Kenji and Yokoi, Kazuhito and Hirukawa, Hirohisa}, title = {The 3D Linear Inverted Pendulum Mode: A simple modeling for a biped walking pattern generation}, booktitle = {IEEE/RSJ International Conference on Intelligent Robots and Systems}, year = {2001}, address = {Maui (HI), USA}, month = {October\textasciitilde 29--November\textasciitilde 03}, url = {http://users.dimi.uniud.it/\textasciitilde antonio.dangelo/Robotica/dissertations/helper/3D\_Linear\_Inverted\_Pendulum\_Model.pdf}, keywords = {Legged locomotion, Equations, Humanoid robots, Robot kinematics, Jacobian matrices, Motion control, Leg, Industrial control, Electronic mail, Service robots}, doi = {10.1109/IROS.2001.973365}, abstract = {For 3D walking control of a biped robot we analyze the dynamics of a 3D inverted pendulum in which motion is constrained to move along an arbitrarily defined plane. This analysis yields a simple linear dynamics, the 3D linear inverted pendulum mode (3D-LIPM). Geometric nature of trajectories under the 3D-LIPM and a method for walking pattern generation are discussed. A simulation result of a walking control using a 12-DOF biped robot model is also shown.} }