Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-25T10:19:51.181Z Has data issue: false hasContentIssue false

Kinematic control of planar redundant manipulators by extended motion distribution scheme

Published online by Cambridge University Press:  09 March 2009

W. J. Chung
Affiliation:
Mechanical Engineering Department, Pohang Institute of Science and Technology, P. O. Box 125, Pohang 790–600 (Korea)
W. K. Chung
Affiliation:
Mechanical Engineering Department, Pohang Institute of Science and Technology, P. O. Box 125, Pohang 790–600 (Korea)
Y. Youm
Affiliation:
Mechanical Engineering Department, Pohang Institute of Science and Technology, P. O. Box 125, Pohang 790–600 (Korea)

Summary

The kinematic control of a planar manipulator with several-degrees of redundancy has been a difficult problem because of the heavy computational burden and/or lack of appropriate techniques. The extended motion distribution scheme, which is based on decomposing a planar redundant manipulator into a series of nonredundant/redundant local arms (referred to as subarms) and distributing the motion of an end-effector to subarms at the joint velocity level, is proposed in this paper. The configuration index, which is defined as the product of minors corresponding to subarms in the Jacobian matrix, is used to globally guide the redundant manipulators. To enhance the performance of the proposed scheme, a self-motion control, which handles the internal joint motion that does not contribute to the end-effector motion, can be used optionally to guarantee globally optimal manipulation. The repeatability problem for the redundant manipulators is discussed using the proposed scheme. The results of computer simulations are shown and analyzed in detail for planar 8-DOF and 9-DOF manipulators, as examples.

Type
Article
Copyright
Copyright © Cambridge University Press 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Yoshikawa, T., “Analysis and control of robot man ipulators with redundancy” Robotics Research: The First International Symposium (Brady, M. and Paul, R. eds) (MIT Press, Cambridge, Mass) (1984) pp. 439446.Google Scholar
2.Maciejewski, A.A. and Klein, C.A., “Obstacle avoidance for kinematically redundant manipulators in dynamically varying environmentsInt. J. Robotics Research 1, No. 3, 109117 (1985).CrossRefGoogle Scholar
3.Liégeois, A., “Automatic supervisory control of configura tion and behavior of multibody mechanism” IEEE Trans. on System, Man, and Cybern. SMC-7, No. 12, 868871 (1977).Google Scholar
4.Chirikjian, G.S. and Burdick, J.W., “An obstacle avoidance algorithm for hyper-redundant manipulators IEEE Conf. on Robotics and Automation,Cincinnati (05, 1990) pp. 625631.Google Scholar
5.Salisbury, J.K. and Craig, J.J., “Articulated Hands: force control and kinematic issuesInt. J. of Robotics Research 1, No. 1, 417(1982).CrossRefGoogle Scholar
6.Dubey, R. and Luh, J.Y.S., “Redundant robot control for higher flexibilityIEEE Conf. on Robotics and Automation,Raleigh (03, 1987) pp. 10661072.Google Scholar
7.Chiu, S.L., “Task compatibility of manipulator postureInt. J. Robotics Research 7, No. 5, 1321 (1988).CrossRefGoogle Scholar
8.Chang, P.H., “Development of a dexterity measure for kinematically redundant manipulatorsAmerican Control Conf.,Pittsburgh (06, 1989) pp. 496506.CrossRefGoogle Scholar
9.Nakamura, Y. and Hanafusa, H., “Optimal redundancy control of robot manipulatorsInt. J. of Robotics Research 6, No. 1, 3242 (1987).CrossRefGoogle Scholar
10.Suh, K.C. and Hollerbach, J.M., “Local versus global optimization of redundant manipulatorIEEE Conf. on Robotics and Automation,Raleigh (03, 1987) pp. 619624.Google Scholar
11.Martin, D.P., Baillieul, J. and Hollerbach, J.M., “Resolution of kinematic redundancy using optimization techniquesIEEE Trans. on Robotics and Automation 5, No. 4, 529533 (1989).CrossRefGoogle Scholar
12.Lee, S. and Lee, J.M., “Multiple task point control of a redundant manipulatorIEEE Conf. on Robotics and Automation,Cincinnati (05, 1990) pp. 988993.Google Scholar
13.Klema, V.C. and Laub, A.T., “The singular value decomposition: its computation and some applications” IEEE Trans. on Automatic Control AC-25, No. 2, 164176 (1980).Google Scholar
14.Chang, P.H., “A closed-form solution for inverse kinematics of robot manipulators with redundancy” IEEE J. Robotics Automat. RA-3, No. 5, 393403 (1987).Google Scholar
15.Borrel, P. and Liégeois, A., “A study of multiple manipulator inverse kinematic application to trajectory planning and workspace determinationIEEE Conf. on Robotics and Automation,San Francisco (04, 1986) pp. 914.Google Scholar
16.Jeong, K.W., Chung, W.K., and Youm, Y., “Development of POSTECH 7-DOF direct drive robot3rd ISRAM Conf.,Vancouver (07, 1990) pp 577582.Google Scholar