Manipulability of cooperating robots with unactuated joints and closed-chain mechanisms

We study the differential kinematics and the kineto-static manipulability indices of multiple cooperating robot arms, including active and passive joints. The kinematic manipulability indices are derived extending previous results on cooperating robots without passive joints. The force manipulability analysis for cooperative robot systems cannot be straightforwardly derived by "duality" arguments as it can with conventional arms, rather a distinction between active and passive force manipulability must be introduced. Results in the paper apply directly to the analysis of cooperating robots, parallel robots, dextrous robotic hands and legged vehicles, and, in general, to closed kinematic chains.

[1]  Jin-Wook Kim,et al.  Kinematic Manipulability of Closed Chains , 1996 .

[2]  John T. Wen,et al.  Kinematic manipulability of general constrained rigid multibody systems , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[3]  Jean-Pierre Merlet Singular Configurations of Parallel Manipulators and Grassmann Geometry , 1989, Int. J. Robotics Res..

[4]  Bruno Siciliano,et al.  Global task space manipulability ellipsoids for multiple-arm systems , 1991, IEEE Trans. Robotics Autom..

[5]  Antonio Bicchi,et al.  On the Closure Properties of Robotic Grasping , 1995, Int. J. Robotics Res..

[6]  Tsuneo Yoshikawa,et al.  Manipulability of Robotic Mechanisms , 1985 .

[7]  Claudio Melchiorri,et al.  Multiple whole-limb manipulation: An analysis in the force domain , 1997, Robotics Auton. Syst..

[8]  John T. Wen,et al.  Kinematic manipulability of general constrained rigid multibody systems , 1999, IEEE Trans. Robotics Autom..

[9]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[10]  John J. Craig,et al.  Articulated hands: Force control and kinematic issues , 1981 .

[11]  D. Prattichizzo,et al.  Manipulability of cooperating robots with passive joints , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[12]  S. Shankar Sastry,et al.  Grasping and Coordinated Manipulation by a Multifingered Robot Hand , 1989, Int. J. Robotics Res..

[13]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[14]  Antonio Bicchi,et al.  On the mobility and manipulability of general multiple limb robots , 1995, IEEE Trans. Robotics Autom..

[15]  Sukhan Lee,et al.  Dual redundant arm configuration optimization with task-oriented dual arm manipulability , 1989, IEEE Trans. Robotics Autom..

[16]  D. Prattichizzo,et al.  Force and dynamic manipulability for cooperating robot systems , 1997, Proceedings of the 1997 IEEE/RSJ International Conference on Intelligent Robot and Systems. Innovative Robotics for Real-World Applications. IROS '97.

[17]  Frank Chongwoo Park,et al.  Manipulability and singularity analysis of multiple robot systems: a geometric approach , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[18]  D. Pratt Manipulability of Cooperating Robots with Passive Joints , 1998 .

[19]  Jean-Pierre Merlet,et al.  Singular Configurations of Parallel Manipulators and Grassmann Geometry , 1988, Int. J. Robotics Res..