Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T16:24:42.606Z Has data issue: false hasContentIssue false

Time-optimal Trajectories for Robot Manipulators

Published online by Cambridge University Press:  09 March 2009

M. W. M. G. Dissanayake
Affiliation:
Department of Mechanical Engineering, University of Sydney, NSW 2006 (Australia).
C. J. Goh
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, WA 6009 (Australia).
N. Phan-Thien
Affiliation:
Department of Mechanical Engineering, University of Sydney, NSW 2006 (Australia).

Summary

A computational technique for obtaining minimum-time trajectories for robot manipulators is described in this paper. In the analysis, limitations to link movements due to design constraints are taken into consideration. Numerical examples based on a two-link planar robot arm shows the feasibility of the technique proposed. A physical explanation for the general characteristics of the observed trajectories is also presented. The importance of appreciating optimal control issues in designing robot manipulators and in planning robot workstation layouts is emphasised.

Type
Article
Copyright
Copyright © Cambridge University Press 1991

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.Paul, R.P., Robot Manipulators: Mathematics, Programming and Control (MIT Press, Cambridge, Massachusetts, 1982).Google Scholar
2.Khan, M.E. and Roth, B., “The near-minimum-time control of open-loop articulated kinematic chains” Transactions of the ASME, JDSMC 164172 (09, 1971).CrossRefGoogle Scholar
3.Bobrow, J.E., Dubowsky, S. and Gibson, J.S., “On the optimal control of robotic manipulators with actuator constraints” Proc. 1983 Amer. Contr. Conf. June 1983 782787 (1983).CrossRefGoogle Scholar
4.Shin, K.G. and McKay, N.D., “Minimum-time control of robotic manipulators with geometric path constraintsIEEE Transactions on Automatic Control AC-30, No. 6, 531541 (06, 1985).Google Scholar
5.Bobrow, J.E., Dubowsky, S. and Gibson, J.S., “Time-optimal control of robotic manipulators along specified pathsInt. J. Robot Res. 4, 317 (Fall, 1985).CrossRefGoogle Scholar
6.Pfeiffer, F. and Johanni, R., “A concept for manipulator trajectory planningIEEE J. Robotics and Automation RA-3, No. 2, 115123 (04, 1987).Google Scholar
7.Singh, S. and Leu, M.C., “Optimal trajectory generation for robotic manipulators using dynamic programming” Transactions of the ASME, JDSMC, 8896 (06, 1987).CrossRefGoogle Scholar
8.Shim, K.G. and McKay, N.D., “Selection of near-minimum time geometric paths for robotic manipulatorsIEEE Transactions on Automatic Control AC-31, No. 6, 501511 (06, 1985).Google Scholar
9.Geering, H.P., Guzzella, L., Hepner, S.A.R. and Onder, C.H., “Time-optimal motions of robots in assembly tasksIEEE Transactions on Automatic Control AC-31, No. 6, 512518 (06, 1986).CrossRefGoogle Scholar
10.Asada, H. and Slotine, J.-J.E., Robot Analysis and Control (John Wiley and Sons, New York, 1986).Google Scholar
11.Goh, C.J. and Teo, K.L., “Control parametrization: A unified approach to optimal control problems with general constraintsAutomatica 24, No. 1, 318 (1988).CrossRefGoogle Scholar
12.Teo, K.L. and Goh, C.J., “A computational method for combined optimal parameter selection and optimal control problems with general constraints” J. Math. Soc. Aust, Sec. B (to appear).Google Scholar
13.Goh, C.J. and Teo, K.L., MISER: An optimal control software, Theory and user manual (Applied Research Corporation, National University of Singapore, 1987).Google Scholar
14.Goh, C.J. and Teo, K.L., “MISER: A FORTRAN program for solving optimal control problemsAdv. Eng. Software 10, No. 2, 9099 (1988).CrossRefGoogle Scholar
15.Teo, K.L. and Goh, C.J., “Simple computational procedure for optimization problems with functional inequality constraintsIEEE Transactions on Automatic Control AC-32, No. 10, 940941 (10, 1987).Google Scholar
16.Snyder, W.E., Industrial Robots: Computer Interfacing and Control, (Prentice-Hall, Englewood Cliffs, New Jersey, USA, 1985).Google Scholar