Dynamics Modeling and Simulation of a kind of wheeled humanoid Robot Based on Screw Theory

Based on the screw theory and Lie group notations, this paper presents a modeling method for a kind of wheeled humanoid robot whose upper human-like body is mounted on the top of a mobile platform with three wheels. By combining the reciprocal product of the twist and wrench with Jourdain variation principle, a general formulation method is proposed to model the whole system's dynamics that represents directly the relationship between the input and the resultant external and inertial wrench. Both the system kinematics and dynamics are derived carefully. The simulations are made to verify the proposed modeling methodology and the simulation results are also compared with the results obtained from the multi-body dynamics software.

[1]  Joshua Mehling,et al.  Centaur: NASA's Mobile Humanoid Designed for Field Work , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[2]  Shigeto Aramaki,et al.  Development of autonomous mobile humanoid robot , 1999, IECON'99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029).

[3]  Jorge Angeles,et al.  Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .

[4]  Robert O. Ambrose,et al.  Mobile manipulation using NASA's Robonaut , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[5]  Volker Graefe,et al.  Design Principles for Dependable Robotic Assistants , 2004, Int. J. Humanoid Robotics.

[6]  Qixin Cao,et al.  Modeling and Analysis of the Dynamics of an Omni-directional Mobile Manipulators System , 2008, J. Intell. Robotic Syst..

[7]  David E. Orin,et al.  Robot dynamics: equations and algorithms , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[8]  Yangmin Li,et al.  Dynamic modeling of a mobile humanoid robot , 2009, 2008 IEEE International Conference on Robotics and Biomimetics.

[9]  Sukho Park,et al.  Development of Biomedical Microrobot for Intravascular Therapy , 2010 .

[10]  Fengfeng Xi,et al.  Inverse dynamics of hexapods using the natural orthogonal complement method , 2002 .

[11]  Ming Xie,et al.  Finger identification and hand posture recognition for human-robot interaction , 2007, Image Vis. Comput..

[12]  Yangmin Li,et al.  Real-Time Tip-Over Prevention and Path Following Control for Redundant Nonholonomic Mobile Modular Manipulators via Fuzzy and Neural-Fuzzy Approaches , 2006 .

[13]  Toshikazu Kawasaki,et al.  Design of prototype humanoid robotics platform for HRP , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[14]  Karim Abdel-Malek,et al.  Robust control of planar dual-arm cooperative manipulators , 2000 .

[15]  J. Troutman Variational Principles in Mechanics , 1983 .

[16]  John J. Murray,et al.  Dynamic modeling of closed-chain robotic manipulators and implications for trajectory control , 1989, IEEE Trans. Robotics Autom..

[17]  Yangmin Li,et al.  Traching Control Of A Redundant Manipulator With The Assistance Of Tactile Sensing , 2011, Intell. Autom. Soft Comput..

[18]  Chia Ou Chang NONHOLONOMIC DYNAMICS AND JOURDAIN'S PRINCIPLE , 2002 .

[19]  Xiaoping Yun,et al.  Effect of the dynamic interaction on coordinated control of mobile manipulators , 1996, IEEE Trans. Robotics Autom..

[20]  Ching-Chih Tsai,et al.  Dynamic modeling and tracking control of a nonholonomic wheeled mobile manipulator with two robotic arms , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[21]  Frank Chongwoo Park,et al.  Simulation-based actuator selection for redundantly actuated robot mechanisms , 2002, J. Field Robotics.

[22]  S. Saha Dynamics of Serial Multibody Systems Using the Decoupled Natural Orthogonal Complement Matrices , 1999 .

[23]  J. Y. S. Luh,et al.  On-Line Computational Scheme for Mechanical Manipulators , 1980 .

[24]  Jing Wang,et al.  Intelligent Control of a Novel Hydraulic Forging Manipulator , 2011, J. Robotics.

[25]  T. Takenaka,et al.  The development of Honda humanoid robot , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[26]  Karsten Berns,et al.  ARMAR-an anthropomorphic arm for humanoid service robot , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[27]  Kostas J. Kyriakopoulos,et al.  Mobile manipulator modeling with Kane's approach , 2001, Robotica.

[28]  Yangmin Li,et al.  Inverse Kinematics and Control of a 7-DOF Redundant Manipulator Based on the Closed-Loop Algorithm , 2010 .

[29]  Xiaoping Yun,et al.  Control of mobile manipulators following a moving surface , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[30]  Frank Chongwoo Park,et al.  A Lie group formulation of the dynamics of cooperating robot systems , 1997, Robotics Auton. Syst..

[31]  Yin-Tien Wang,et al.  Visual SLAM and Moving-object Detection for a Small-size Humanoid Robot , 2010 .

[32]  D. T. Greenwood,et al.  Advanced Dynamics: Frontmatter , 2003 .