Torque optimization schemes for kinematically redundant manipulators

One of the important applications for the resolution of redundant manipulators is torque optimization, due to the fact that the actuators used for driving a manipulator have finite power ratings. Nevertheless, not many algorithms have been proposed to accomplish this objective. A survey of the existing local torque optimization control schemes is given in this article. It will be shown that all of them either encounter instability problems for long trajectories or fail in certain cases. For remedying these problems, the authors present the Minimum Velocity Norm (MVN) method, which is the most common approach for kinematic redundancy resolution and has never been adopted for torque optimization by other researchers. Simulation results show that the simple MVN method is moderate for short movements and is stable for long movements. Also, the MVN method can be applied to cases that may not be accomplished by some other approaches. Therefore, the MVN method is better than the other existing approaches for torque optimization. © 1994 John Wiley & Sons, Inc.

[1]  Alain Liégeois,et al.  A study of multiple manipulator inverse kinematic solutions with applications to trajectory planning and workspace determination , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[2]  J. Y. S. Luh,et al.  Closed-loop control of manipulators with redundant joints using the Hamilton-Jacobi-Bellman equation , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[3]  Daniel E. Whitney,et al.  Resolved Motion Rate Control of Manipulators and Human Prostheses , 1969 .

[4]  Andrew K. C. Wong,et al.  A singularities prevention approach for redundant robot manipulators , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

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

[6]  A. Liegeois,et al.  Automatic supervisory control of the configuration and behavior of multi-body mechanisms , 1977 .

[7]  Shugen Ma,et al.  Redundancy decomposition control for multi-joint manipulator , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[8]  Charles A. Klein,et al.  Dynamic simulation of a kinematically redundant manipulator system , 1987, J. Field Robotics.

[9]  D. E. Whitney,et al.  The mathematics of coordinated control of prosthetic arms and manipulators. , 1972 .

[10]  Ian D. Walker,et al.  Subtask performance by redundancy resolution for redundant robot manipulators , 1988, IEEE J. Robotics Autom..

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

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

[13]  Pyung H. Chang A Dexterity Measure for Kinematic Control of Redundant Manipulators , 1989, 1989 American Control Conference.

[14]  John M. Hollerbach,et al.  Redundancy resolution of manipulators through torque optimization , 1987, IEEE J. Robotics Autom..

[15]  Won Jee Chung,et al.  J-minor based dynamic control (JMDC) for kinematically redundant manipulators , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[16]  J. Y. S. Luh,et al.  Resolved-acceleration control of mechanical manipulators , 1980 .

[17]  Fan-Tien Cheng,et al.  Efficient algorithm for resolving manipulator redundancy-the compact QP method , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[18]  John M. Hollerbach,et al.  Local versus global torque optimization of redundant manipulators , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.