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Combined time/location optimization of robotic motions with specified paths and velocity profiles

Published online by Cambridge University Press:  09 March 2009

L. Beiner
Affiliation:
Faculty of Engineering, Tel-Aviv University, POB 39040 Ramat-Aviv 69978 (Israel)

Summary

A parameter optimization approach to the time-minimization of robotic motions along specified paths is presented for the case when: (i) the velocity profile is a prescribed sequence of constant acceleration/deceleration segments with unspecified, but bounded vertex velocities at given path stations; (ii) the relative robot/path location can be varied. Such optimizations occur when technological requirements impose a certain velocity profile along the path due to velocity and acceleration constraints. Full nonlinear manipulator dynamics and path parameterization are used to determine the optimal velocity profile and robot location consistent with the actuator/configuration limitations. No numerical integration or search for switching curve are involved in the solution. Examples of time-and-location optimized robotic motions with specified velocity profile are presented.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

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References

1.Bobrow, J.E., Dubowsky, S. and Gibson, J.S., “Time-Optimal Control of Robotic Manipulators Along Specified PathsInt. J. Robotics Res., 4, No. 3, 317 (Fall, 1985).CrossRefGoogle Scholar
2.Shin, K.G. and McKay, N.D., “Minimum-Time Control of Robotic Manipulators with Geometric Path ConstraintsIEEE Trans. Automat. Contr., AC-30, No. 6, 531541 (06, 1985).CrossRefGoogle Scholar
3.Pfeiffer, F. and Johanni, R.A Concept for Manipulator Trajectory PlanningIEEE J. Robotics Autom., RA-3, No. 2, 115123 (04, 1987).CrossRefGoogle Scholar
4.Sidall, J.N., Optimal Engineering Design, (Marcel Dekker, New York and Basel 1982).Google Scholar
5.Beiner, L., “Time-Optimization of Continuous-Path Robotic Motions for Commercial Manipulators”, (submitted for publication in IEEE J Robotics and Automation).Google Scholar
6.Geering, H.P. et al. , “Time-Optimal Motions of Robots in Assembly TasksIEEE Trans. Automat. Contr. AC-31, No. 6, 512518 (06, 1986).CrossRefGoogle Scholar
7.Bobrow, J.E., “Optimal Control of Robotic Manipulators” Ph.D. Thesis (Dept. of Mechanical Engineering, University of California, Los Angeles, 1923, 1982).Google Scholar