A generalized sufficient condition for time-optimal control

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 118, Issue 2, 1996, Pages 393-396

  Sundar, S ^a   Shiller, Z ^b  

^a APPLIED MATERIALS INC   (United States)

^b University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000458529     PISSN: 00220434     EISSN: 15289028     Source Type: Journal    
DOI: 10.1115/1.2802337     Document Type: Article

References (17)

1. Athans, M., and Falb, P. L., Optimal Control: An Introduction to the Theory and It’s Applications, Lincoln Laboratory Publications, Academic Press, New York and London, 1965.
2. Athans, M., and Falb, P. L., “Nonlinear and Linear Systems: Derivation of the Time-Optimal Control as a Simple Function of State.” IEEE Transactions on Automatic Control, Vol. AC-8, No. 4, p. 379, Oct. 1963.
3. Bobrow, J. E., “Optimal Robot Path Planning using the Minimum Time Criterion,” IEEE Transactions on Robotics and Automation, Vol. 4, No. 4, pages 443-450, August 1988.
4. Cesari, L., Optimization—Theory and Applications: Problems with Ordinary Differential Equations, Springer-Verlag, New York, 1983.
5. Dreyfus, S., Dynamic Programming and the Calculus of Variations, Academic Press, New York and London, 1965.
6. Geering, H., Guzzella, L., Hepner, S. A. R., and Onder, C. H., “TimeOptimal Motions of Robots in Assembly Tasks,” IEEE Transactions on Automatic Control, Volume AC-31, No. 6, pp. 512-518, June 1986.
7. Gupta, S., and Luh, J. Y. S., “Closed Loop Control of Manipulators with Redundant Joints using the Hamilton-Jacobi-Bellman Equation,” Proceedings of IEEE International Conference on Robotics and Automation, Sacramento, CA Volume 1, pp. 472-477, Apr. 1991.
8. Jain, P. K., and Gupta, V. P., Lebesgue Measure and Integration, Wiley, New York, 1986.
9. Johansson, R., “Quadratic Optimization of Motion and Control,” IEEE Transactions on Automatic Control, Vol. 35, No. 11, pp. 1197-1208, Nov. 1990.
10. Johnson, D. W., and Gilbert, E. G., “Minimum Time Robot Path Planning in the Presence of Obstacles,” Proceedings of the 24th Conference on Decision and Control, Fort Lauderdale, Vol. 3, pp. 1748-1753.
11. Meier, E. B., and Bryson, A. E., “An Efficient Algorithm for TimeOptimal Control of a Two-Link Manipulator,” AIAA Conference on Guidance and Control, Monterey, CA, pp. 204-212, 1987.
12. Nahi, N. E., “On the Design of Time-Optimal Systems via the Second Method of Lyapunov,” IEEE Transactions on Automatic Control, Vol. AC-9, No. 3, pp. 274-276, 1964.
13. Rimon, E., and Koditschek, D. E., “Exact Robot Navigation using Artificial Potential Functions,” IEEE Transactions on Robotics and Automation, Vol. 8, pp. 501-518, 1992.
14. Royden, H. L., Real Analysis, 3rd edition, Macmillan, New York, 1988.
15. Sahar, G., and Höllerbach, J. M., “Planning of Minimum Time Trajectories for Robot Arms,” Proceedings of the IEEE International Conference on Robotics and Automation, St. Louis, pp. 751-758, 1985.
16. Shiller, Z., and Dubowsky, S., “Optimal Path Planning for Robotic Manipulators in the Presence of Obstacles, with Actuator, Gripper and Payload Constraints,” International Journal of Robotics Research, Vol. 8, No. 6, pp. 3-18, Dec. 1989.
17. Sundar, S., and Shiller, Z., “Near Time Optimal Path Planning using Potential Functions,” Proceedings of the IEEE Workshop on Intelligent Robots and Systems, Osaka, Japan, Vol. 3, pp. 1269-1274, Nov. 1991.