Joint Stiffness Tuning for Compliant Robots: Protecting the Robot under Accidental Impacts

This paper presents a systematic study on setting the joint stiffness for a 4-DOF compliant humanoid robot arm in order to protect the actuators form impact torques generated during accidental collisions. Based on the dynamic equations of the manipulator system integrated with an impact model, the worst configurations in which the torque of each joint is maximized can be searched in the whole workspace. These results are then applied to the impact simulation and appropriate stiffness values are selected for each joint to ensure that the joint torque does not exceed the maximum torque of the actuator. The method is applied to analyze a 2-DOF planar manipulator, which results in a selection of stiffness for the two compliant joints. Subsequently the method is extended to a 4-DOF compliant humanoid robot arm and the stiffness upper limits are given based on the worst under impact configurations for each joint. . 1

[1]  Nikolaos G. Tsagarakis,et al.  A compact soft actuator unit for small scale human friendly robots , 2009, 2009 IEEE International Conference on Robotics and Automation.

[2]  M. Spong Modeling and Control of Elastic Joint Robots , 1987 .

[3]  Alessandro De Luca,et al.  Collision Detection and Safe Reaction with the DLR-III Lightweight Manipulator Arm , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[4]  Nikolaos G. Tsagarakis,et al.  iCub: the design and realization of an open humanoid platform for cognitive and neuroscience research , 2007, Adv. Robotics.

[5]  Jian S. Dai,et al.  Stiffness characteristics and kinematics analysis of two-link elastic underactuated manipulators , 2002, J. Field Robotics.

[6]  Giulio Sandini,et al.  The iCub humanoid robot: an open platform for research in embodied cognition , 2008, PerMIS.

[7]  Alessandro De Luca Feedforward/Feedback Laws for the Control of Flexible Robots , 2000, ICRA.

[8]  Yousheng Yang,et al.  HyQ - Hydraulically actuated quadruped robot: Hopping leg prototype , 2008, 2008 2nd IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics.

[9]  Oussama Khatib,et al.  A hybrid actuation approach for human-friendly robot design , 2008, 2008 IEEE International Conference on Robotics and Automation.

[10]  Inna Sharf,et al.  Literature survey of contact dynamics modelling , 2002 .

[11]  Ou Ma,et al.  MDSF - A generic development and simulation facility for flexible, complex robotic systems , 1997, Robotica.

[12]  G. Hirzinger,et al.  A new variable stiffness design: Matching requirements of the next robot generation , 2008, 2008 IEEE International Conference on Robotics and Automation.

[13]  Antonio Bicchi,et al.  Fast and "soft-arm" tactics [robot arm design] , 2004, IEEE Robotics & Automation Magazine.

[14]  Matthew M. Williamson,et al.  Series elastic actuators , 1995, Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots.

[15]  Feng Gao,et al.  Optimum design of 3-DOF spherical parallel manipulators with respect to the conditioning and stiffness indices , 2000 .

[16]  David E. Orin,et al.  A compliant contact model with nonlinear damping for simulation of robotic systems , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[17]  Ou Ma,et al.  Model order reduction for impact-contact dynamics simulations of flexible manipulators , 2007, Robotica.

[18]  Oussama Khatib,et al.  Analysis of torque capacities in hybrid actuation for human-friendly robot design , 2010, 2010 IEEE International Conference on Robotics and Automation.

[19]  Antonio Bicchi,et al.  Design and Control of a Variable Stiffness Actuator for Safe and Fast Physical Human/Robot Interaction , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[20]  Jun-Ho Oh,et al.  Posture Control of a Humanoid Robot with a Compliant Ankle Joint , 2010, Int. J. Humanoid Robotics.

[21]  Alin Albu-Schäffer,et al.  Safety Evaluation of Physical Human-Robot Interaction via Crash-Testing , 2007, Robotics: Science and Systems.

[22]  Ian D. Walker,et al.  Impact configurations and measures for kinematically redundant and multiple armed robot systems , 1994, IEEE Trans. Robotics Autom..

[23]  John Kenneth Salisbury,et al.  Parallel-Coupled Micro-Macro Actuators , 1996, Int. J. Robotics Res..