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Minimum jerk for trajectory planning and control

Published online by Cambridge University Press:  09 March 2009

K.J. Kyriakopoulos  and
G.N. Saridis
K.J. Kyriakopoulos
Affiliation:
NASA Center for Intelligent Robotic Systems for Space Exploration, Rensselaer Polytechnic Institute, Troy, NY 12180–3580(USA)
G.N. Saridis
Affiliation:
NASA Center for Intelligent Robotic Systems for Space Exploration, Rensselaer Polytechnic Institute, Troy, NY 12180–3580(USA)
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Summary

It has been experimentally verified that the jerk of the desired trajectory adversely affects the performance of the tracking control algorithms for robotic manipulators. In this paper, we investigate the reasons behind this effect, and state the trajectory planning problem as an optimization problem that minimizes a norm of joint jerk over a prespecified Cartesian space trajectory. The necessary conditions are derived and a numerical algorithm is presented.

Keywords

TrajectoryControl algorithmRobots
Type
Article
Information
Robotica , Volume 12 , Issue 2 , March 1994 , pp. 109 - 113
Copyright
Copyright © Cambridge University Press 1994

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References

1.Leahy, M.B., “Development and application of a hierarchical robotic evaluation environment” Ph.D. Thesis (Technical Report RAL, RRI, 1986).Google Scholar
2.Thomson, S. and Patel, R.V., “Formulation of joint trajectories for industrial robots using b-splines” IEEE Trans. on Industr. Electronics 192–199 (1987).Google Scholar
3.Shin, K.G. and McKay, N.D., “Minimum-time trajectory planning for industrial robots with general torque constraints” Proceedings of the 1986 IEEE International Conference on Robotics and Automation (1986) pp. 412–417.Google Scholar
4.Kyriakopoulos, K. and Sandis, G., “Minimum jerk path generation” Proceedings of the 1988 IEEE Internaitonal Conference on Robotics and Automation (April 1988) pp. 364–369.Google Scholar
5.Wen, J.T. and Bayard, D.S., “New class of control laws for robotic manipulators. part 1. non-adaptive case” Int. J. Control 1361–1385 (October, 1988).Google Scholar
6.Huang, H. and McClamroch, N.H., “Time-optimal control for a robotic contour following problem” IEEE J. Robotics and Automation 140–149 (April 1988).Google Scholar
7.Clarke, F., Optimization and Nonsmooth Analysis. (Wiley, New York, 1983).Google Scholar
8.Polak, E., Mayne, D. and Higgins, J., “A superlinearly convergent algorithm for min-max problems” Proceedings of the 28th Conference on Decision and Control (1989) pp. 894–898.Google Scholar
9.Kyriakopoulos, K., A supervisory-control strategy for navigation of mobile robots in dynamic environments” Ph.D. Thesis (Technical report, CIRSSE-RPI, 03 1991).Google Scholar
10.Powell, M.J.D., “Variable metric methods for constraint optimization” Mathematical Programming: The State of the Art 288–311 (1983).Google Scholar