Multiple tasks kinematics using weighted pseudo-inverse for kinematically redundant manipulators

This paper proposes a method to accommodate multiple tasks for redundancy utilization, which is based on a specific weighted pseudo-inverse. The proposed method also has task priority imposition property same as those conventional task priority based methods. In order to deal with general situations of task specification, the so-called semi-definitely weighted pseudo-inverse is devised.

[1]  A. A. Maciejewski,et al.  Obstacle Avoidance , 2005 .

[2]  Yoshihiko Nakamura,et al.  Advanced robotics - redundancy and optimization , 1990 .

[3]  Keith L. Doty,et al.  A Theory of Generalized Inverses Applied to Robotics , 1993, Int. J. Robotics Res..

[4]  Rajiv V. Dubey,et al.  A weighted least-norm solution based scheme for avoiding joint limits for redundant joint manipulators , 1993, IEEE Trans. Robotics Autom..

[5]  J. Magnus,et al.  Matrix Differential Calculus with Applications in Statistics and Econometrics (Revised Edition) , 1999 .

[6]  Rajiv V. Dubey,et al.  A weighted least-norm solution based scheme for avoiding joint limits for redundant manipulators , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[7]  Stefano Chiaverini,et al.  Singularity-robust task-priority redundancy resolution for real-time kinematic control of robot manipulators , 1997, IEEE Trans. Robotics Autom..

[8]  Jonghoon Park,et al.  On dynamical decoupling of kinematically redundant manipulators , 1999, Proceedings 1999 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients (Cat. No.99CH36289).

[9]  E. Ziegel.  Matrix Differential Calculus With Applications in Statistics and Econometrics , 1989 .

[10]  B. Hu,et al.  Local optimization of weighted joint torques for redundant robotic manipulators , 1995, IEEE Trans. Robotics Autom..

[11]  T. Yoshikawa,et al.  Task-Priority Based Redundancy Control of Robot Manipulators , 1987 .

[12]  Ronan Boulic,et al.  Task-priority formulations for the kinematic control of highly redundant articulated structures , 1998, Proceedings. 1998 IEEE/RSJ International Conference on Intelligent Robots and Systems. Innovations in Theory, Practice and Applications (Cat. No.98CH36190).

[13]  Jonghoon Park,et al.  Weighted decomposition of kinematics and dynamics of kinematically redundant manipulators , 1996, Proceedings of IEEE International Conference on Robotics and Automation.