3D Parametric Gait Planning of Humanoid Robot with Consideration of Comprehensive Biped Walking Constraints
YI Qiang1, CHEN Ken1,2, LIU Li1,2, FU Cheng-long1,2
1. Department of Precision Instruments and Mechanology, Tsinghua University, Beijing 100084, China; 2. The State Key Laboratory of Tribology, Tsinghua University, Beijing 110168, China
伊强, 陈恳, 刘莉, 付成龙. 考虑综合步行约束的仿人机器人参数化3D步态规划方法[J]. 机器人, 2009, 31(4): 342-350..
YI Qiang, CHEN Ken, LIU Li, FU Cheng-long. 3D Parametric Gait Planning of Humanoid Robot with Consideration of Comprehensive Biped Walking Constraints. ROBOT, 2009, 31(4): 342-350..
Abstract:A parametric gait planning of 3D biped walking is proposed and a 13-rigid-body constrained dynamic model of humanoid robot is also established.With the considerations of six-point boundary constraints of successive and impact-less steps including SSP(single-support-phase) and DSP(double-support-phase),physical constraints of feasible gait and ZMP (zero moment point) stability constraints of locomotion,tow groups of slow and fast walking speed with smooth and nonjerky optimal joint trajectory curves to minimize integral quadratic amount of joint driving torques are obtained by adopting the parametric gait optimization approach,which makes the complicated joint trajectory planning problem transform into the optimization problem of limited parametric vectors composed of piecewise polynomial coefficients.The effectiveness of this method is confirmed by dynamic simulations and walking experiments on an actual humanoid robot.
[1] 梶田秀司.仿人机器人[M]. 北京:清华大学出版社,2007.Kajita Shuuji.Humannoid Robots[M]. Beijing:Tsinghua University Press,2007.
[2] Berns K.Walking machine catalogue[EB/OL], http://www.walking-machines.org/,2008-11-24.
[3] Kajita S.Biped robot research in the world[EB/OL], http://www.mel.go.jp/soshiki/robot/undo/kajita/bipodsite-e,html,2008-11-24.
[4] 石宗英.双足步行机器人步态规划与分散鲁棒跟踪控制研究[D]. 北京:清华人学,2005.Shi Zong-ying.Research on Gait Planning and Decentralized Robust Tracking Control of Biped Robots[D]. Beijing:Tsinghua University,2005
[5] Vukobratovic M,Borovac B.Zero-moment point-Thirty five years of its life[J]. International Journal of Humanoid Robotics,2004,1(1):157~173.
[6] Vanderborght B,Verrelst B,Van Ham R,et al.Development of a compliance controller to reduce energy consumption for bipedalrobots[J]. Autonomous Robots,2008,24(4):419~434.
[7] Hu L Y,Zhou C J,Sun Z Q.Estimating biped gait using spline-based probability distribution function with Q-learning[J]. IEEE Transactions on Industrial Electronics,2008,55(3):1444~1452.
[8] Chevallereau C,Aoustin Y.Optimal reference trajectories for walking and running of a biped robot[J]. Robotica,2001,19(5):557~569.
[9] Huang Q,Yokoi K,Kajita S,et al.Planning walking patterns for a biped robot[J]. IEEE Transactions on Robotics and Automation,2001,17(3):280~289.
[10] Bessonnet G,Chesse S,Sardain P.Optimal gait synthesis of a seven-link planar biped[J]. The International Journal of Robotics Research,2004,23(10-11):1059~1073.
[11] Bessonnet G,Seguin P,Sardain E A parametric optimization approach to walking pattern synthesis[J]. The International Journal of Robotics Research,2005,24(7):523~536.
[12] Shi Z Y,Xu W L,Zhong Y S,et al.Optimal sagittal gait with ZMP stability during complete walking cycle for humanoid robots[J]. Journal of Control Theory and Applications,2007,5(2):133~138.
[13] Tlalolini D,Chevallereau C,Aoustin Y.Optimal reference walking with rotation of the stance feet in single support for a 3D biped[A]. Proceedings of the IEEE/RSJ International Conference on Robots and Intelligent Systems[C]. Piscataway,NJ,USA:IEEE,2008.1091~1096.