Constrained Minimum-Time Path Planning for Robot Manipulators Via Virtual Knots of the Cubic B-Spline Functions

IEEE Transactions on Automatic Control

Volumn 35, Issue 5, 1990, Pages 573-577

  Wang, Chi Hsu ^a   Horng, Jong Gin ^a  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING--ALGORITHMS; MATHEMATICAL TECHNIQUES--BOUNDARY VALUE PROBLEMS;

CUBIC B-SPLINE FUNCTIONS; PUMA 560 ROBOT; VIRTUAL KNOTS;

ROBOTS;

EID: 0025432697     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.53526     Document Type: Article

References (13)

1. R. P. Paul, Robot Manipulators: Mathematics, Programming, and Control. Cambridge, MA: M.I.T. Press, 1981.
2. J. Y. S. Luh and C. S. Lin, “Optimum path planning for mechanical manipulators,” ASME Trans. J. Dynamics Syst., Meas., Contr., vol. 103, no. 2, pp. 142–151, June 1981.
3. C. S. Lin and P. R. Chang, “Joint trajectories of mechanical manipulators for Cartesian path approximation,” IEEE Trans. Syst., Man, Cybern., vol. SMC-13, pp. 1094–1102, Nov. 1983.
4. C. S. Lin, P. R. Chang, and J. Y. S. Luh, “Formulation and optimization of cubic polynomial joint trajectories for industrial robot,” IEEE Trans. Automat. Contr., vol. AC-28, pp. 1066–1074, Dec. 1983.
5. J. Y. S. Luh and C. S. Lin, “Approximate joint trajectories for control of industrial robots along Cartesian paths,” IEEE Trans. Syst., Man, Cybern., vol. SMC-14, pp. 444–450, May 1984.
6. S. Chand and K. L. Dotty, “Online polynomial trajectories for robot manipulators,” Int. J. Robot. Res., vol. 4, no. 2, pp. 38–48, Summer 1985.
7. W. M. Newman and R. F. Sproul, Principles of Interactive Computer Graphics, 2nd ed. New York: McGraw-Hill, 1979.
8. J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications. New York: Academic, 1967.
9. C. Deboor, A Practical Guide to Splines. New York: Springer-Verlag, 1978.
10. S. E. Thompson and R. V. Patel, “Formulation of joint trajectories for industrial robot using B-splines,” IEEE Trans. Ind. Electron., vol. IE-34, pp. 192–199, May 1987.
11. B. A. Barsky and D. P. Greenberg, “Determining a set of B-spline control vertices to generate an interpolating surface,” Comput. Graph. Image Processing, vol. 14, pp. 203–226, 1980.
12. D. M. Himmelblau, Applied Nonlinear Programming. New York: McGraw-Hill, 1972, pp. 148–157.
13. W. Cheney and D. Kinacid, Numerical Mathematics and Computing. Monterey, CA: Brooks/Cole, 1980, pp. 132–138.