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Joint velocity uniformity in redundant robot manipulators

Published online by Cambridge University Press:  09 March 2009

A. Hemami
Affiliation:
Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, (Québec) H3G 1M8 (Canada)

Summary

A redundant robot manipulator has several certain or expected advantages over a nonredundant one. It is expected, among other capabilities, that the joints vary with constant velocities during the execution of those tasks which in a nonredundant manipulator require variable joint velocities. In this way, motion becomes more precise because of the elimination of errors associated with velocity change in joints. In this paper, it is shown that this expected advantage is not possible for all the joints, and that only as many joints as the degree of redundancy can have constant velocities.

Type
Article
Copyright
Copyright © Cambridge University Press 1990

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References

1.Dubey, R. and Walker, M.W., “Control Scheme for Redundant Manipulators” Proc. 7th Southeastern Symposium Systems Theory 3638 (1985).Google Scholar
2.Gu, Y.L., “Dynamics and Control for Redundant RobotsProceedings of IEEE International Conference Robotics and Automation194199 (1988).Google Scholar
3.Baillieul, J., Hollerbach, J. and Brockett, R., “Programming and Control of Kinematically Redundant ManipulatorsProceedings of the 23rd Conference on Decision and Control768774 (1984).CrossRefGoogle Scholar
4.Chan, S.K. and Lawrence, P.D., “General Inverse Kinematics with the Error Damped PseudoinverseProceedings of IEEE International Conference Robotics and Automation834839 (1988).Google Scholar
5.Mayorga, R.V. and Wong, A.K.C., “A Singularities Avoidance Approach for the Optimal Local Path Generation of Redundant Manipulators” Proc. IEEE Conf. Robotics and Automation, 4954 (1988).Google Scholar
6.Stanišić, M.M. and Pennock, G.R., “A Nondegenerate Kinematic Solution of a Seven Jointed Robot ManipulatorInt. J. Robotics Research 4, No. 2, 1020 (1985).CrossRefGoogle Scholar
7.Nakamura, Y. et al. , “Task Priority Based Redundancy Control of Robot ManipulatorsInt. J. Robotics Research 6, No. 2, 315 (1987).CrossRefGoogle Scholar
8.Maciejewski, A.A. and Klein, C.A., “Obstacle Avoidance for Kinematically Redundant Manipulators in Dynamically Varying EnvironmentInt. J. Robotics Research 4, No. 3, 109117 (1985).CrossRefGoogle Scholar
9.Lovass-Nagy, V., and Schilling, R.J., “Control of Kinematically Redundant Robots Using {l}-InverseIEEE Trans. Systems, Man and Cybernetics SMC-17, No. 4, 644649 (1987).Google Scholar
10.Angeles, J., and Habib, M., “Numerical Schemes for the Kinematic Control of Redundant Robot Manipulators” Int. Symposium on Mini and Microcomputers and their Application 109114 (1985).Google Scholar
11.Konstantinov, M.S. et al. “Kinematic Control of Redundant Manipulators” Proceedings 11th ISIR 561568 (1981).Google Scholar
12.Klein, C.A. and Blaho, B.E., “Dexterity Measures for the Design and Control of Kinematically Redundant ManipulatorsIntern. Robotics Research 6, No. 2, 7283 (1987).CrossRefGoogle Scholar
13.Yoshikawa, T., “Analysis and Control of Robot Manipulators with Redundancy” Proceedings First International Symposium Robotics Research, Bretton Woods, N.H. 735747 (1983).Google Scholar
14.Nakamura, Y. and Hanafusa, H., “Optimal Redundancy Control of Robot ManipulatorsInt. J. Robotics Research 6, No. 1, 3242 (1987).CrossRefGoogle Scholar
15.Das, H. et al. “inverse Kinematic Algorithms for Redundant Systems” Proceedings of IEEE Int. Conf. Robotics and Automation, Philadelphia 4348 (1988).Google Scholar
16.Goldenberg, A.A. et al. “A Complete Generalized Solution to the Inverse Kinematics of RobotsIEEE J. Robotics and Automation RA-1, No. 1, 1420 (1985).CrossRefGoogle Scholar
17.Klein, C.A. and Huang, C.H., “Review of Pseudoinverse Control for Use with Kinematically Redundant ManipulatorsIEEE Trans. Systems, Man and Cybernetics SMC-13, No. 3, 245250 (1983).Google Scholar
18.Chevallerean, C. and Khalil, W., “A New Method for the Solution of the Inverse Kinematics of Redundant RobotsProceedings IEEE Int. Conference on Robotics and Automation3742 (1988).Google Scholar
19.Dubey, R.V., Euler, J.A. and Babcock, S.M., “An Efficient Gradient Projection Optimization Scheme for a Seven-Degree-of-Freedom Redundant Robot with Spherical Wrist” Proceedings IEEE Int. Conf. Robotics and Automation 2836 (1988).Google Scholar
20.Ben-Israel, A. and Greville, T.N.E., Generalized Inverses: Theory and Applications (John Wiley and Sons, New York, 1974).Google Scholar
21.Sprînceanaˇ, N. and Ivaˇnescu, M., “Optimal Control of Manipulator Arm” Proc. llth ISIR 739746 (1981).Google Scholar
22.Hsu, P. et al. “Dynamic Control of Redundant ManipulatorsProceedings of IEEE International Conference Robotics and Automation183187 (1988).CrossRefGoogle Scholar
23.Chen, I., Chen, T.C. and Saha, H., “A Strategy for Driving Inverse Kinematics for a Seven-Axis Manipulator Arm” Proc. Seventh Southeastern Symposium Systems Theory (1985).Google Scholar
24.Hemami, A., “On a Human-Arm-Like Mechanical ManipulatorRobotica 5, No. 1, 2328 (1987).CrossRefGoogle Scholar
25.Hemami, A., “An approach to the Kinematic Solutions for Redundant Arms” Proceedings of the 7th International Congress of Cybernetics and Systems 1, 214223 (1987).Google Scholar
26.Hemami, A., “On the Control of Redundant Robot ArmsProceedings Robots 12/Vision 88 Conference425 to 434 (1988).Google Scholar
27.Huston, R.L. and King, T.P., “Dynamics of Redundant Robots-Inverse SolutionsRobotica 4, No. 4, 263267 (1986).CrossRefGoogle Scholar
28.Whitney, D.E., “Resolved Motion Rate Control of Manipulators and Human ProsthesisIEEE Trans. Man-Machine Systems MMS-10, 4753 (1969).CrossRefGoogle Scholar