Resolving Manipulator Redundancy Under Inequality Constraints

IEEE Transactions on Robotics and Automation

Volumn 10, Issue 1, 1994, Pages 65-71

  Cheng, Fan Tien ^a   Chen, Tsing Hua ^a   Sun, York Yih ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONSTRAINT THEORY; CONTROL NONLINEARITIES; INVERSE PROBLEMS; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; MECHANICAL VARIABLES CONTROL; POSITION CONTROL; REDUNDANCY; ROBOTICS; TRACKING (POSITION); VELOCITY CONTROL;

COMPACT QUADRATIC PROGRAMMING; INEQUALITY CONSTRAINTS; SATURATION TYPE NONLINEARITY PROBLEM;

MANIPULATORS;

EID: 0028374481     PISSN: 1042296X     EISSN: None     Source Type: Journal    
DOI: 10.1109/70.285587     Document Type: Article

References (27)

1. A. Liégeois, “Automatic supervisory control of the configuration and behavior of multibody mechanisms,” IEEE Trans. Syst., Man, Cybern., vol. 7, no. 12, pp. 868–871, 1977.
2. D. E. Whitney, “The mathematics of coordinated control of prosthetic arms and manipulators,” ASME J. Dynamic Syst. Meas. Contr., pp. 303–309, 1972.
3. C. A. Klein and A. I. Chirco, “Dynamic simulation of a kinematically redundant manipulator system,” J. Robotic Syst., vol. 4, no. 1, pp. 5–23, 1987.
4. T. Yoshikawa, “Manipulability of robotic mechanisms,” Int. J. Robotics Res., vol. 4, no. 2, pp. 3–9, 1985.
5. R. V. Mayorga and A. K. C. Wong, “A singularities prevention approach for redundant robot manipulators,” in Proc. 1990 IEEE Int. Conf. Robotics Automat., pp. 812–817.
6. Y. Nakamura, H. Hanafusa and T. Yoshikawa, “Task-priority based redundancy control of robot manipulators,” lnt. J. Robotics Res., vol. 6, no. 2, pp. 3–15, 1987.
7. I. D. Walker and S. I. Marcus, “Subtask performance by redundancy resolution for redundant robot manipulators,” IEEE J. Robotics Automat., vol. 4, no. 3, pp. 350–354, 1988.
8. A. A. Maciejewski and C. A. Klein, “Obstacle avoidance for kinematically redundant manipulators in dynamically varying environments,” lnt. J. Robotics Res., vol. 4, no. 3, pp. 109–117, 1985.
9. N. S. Bedrossian, “Classification of singular configurations for redundant manipulators,” in Proc. 1990 IEEE Int. Conf. Robotics Automat., pp. 818–823.
10. Y. Nakamura and H. Hanafusa, “Inverse kinematic solutions with singularity robustness for robot manipulator control,” ASME J. Dynamic Syst. Meas. Contr., vol. 108, pp. 163–171, 1986.
11. C. W. Wampler, “Manipulator inverse kinematic solutions based on vector formulations and damped least-squares methods,” IEEE Trans. Syst. Man. Cyber., vol. 16, no. 1, pp. 93–101, 1986.
12. S. Chiaverini and O. Egeland, “A solution to the singularity problem for six-joint manipulators,” in Proc. 1990 IEEE lnt. Conf. Robotics Automat., pp. 644–649.
13. F.-T. Cheng, T.-H. Chen and Y.-Y. Sun, “Inverse kinematics solutions for redundant manipulators using compact formulation,” in Proc. 1991 IEEEIRSJ international Workshop on Intelligent Robots and System, Osaka, Japan, 1991, pp. 153–158.
14. M. Vukobratovid and M. Kir6anski, “A dynamic approach to nominal trajectory synthesis for redundant manipulators,” IEEE Trans. Syst. Man. Cyber., vol. 14, no. 4, pp. 580–586, 1984.
15. T. M. Abdel-Rahman, “A generalized practical method for analytic solution of the constrained inverse kinematics problem of redundant manipulators,” lnt. J. Robotics Res., vol. 10, no. 4, pp. 382–395, Aug. 1991.
16. D. G. Luenberger, Linear and Nonlinear Programming. Addison-Wesley Publishing Company, second edition, 1984.
17. C. L. Lawson and R. J. Hanson, Solving Least Squares Problems, New Jersey: Prentice-Hall, 1974.
18. F.-T. Cheng and D. E. Orin, “Efficient algorithm for optimal force distribution—The compact-dual LP method,” IEEE Trans. Robotics Automat., vol. 6, no. 2, pp. 178–187, 1990.
19. J. Angeles and O. Ma, “QUADMIN: An integrated package for constrained nonlinear least-square problems,” in Proc. 1989 ASME lnt. Computers in Engineering Conference, vol. 2, pp. 247–252.
20. M. A. Nahon and J. Angeles, “Optimization of dynamic forces in mechanical hands,” ASMEJ. Mechanical Design, vol. 113, pp. 167–173, 1991.
21. M. A. Nahon and J. Angeles, “Real-time force optimization in parallel kinematic chains under inequality constraints,” in Proc. 1991 IEEE Int. Conf. Robotics Automat., pp. 2198–2203.
22. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: The Johns Hopkins University Press, 1983.
23. T.-H. Chen, F.-T. Cheng and Y.-Y. Sun, “Relationship between the pseudoinverse formulation and the compact formulation for obtaining the general solutions of redundant robotic systems,” in Proc. 1991 International Conference IECON’91, Kobe, Japan, 1991, pp. 1164–1169.
24. G. Strang, Linear Algebra and Its Applications. New York: Academic Press, second edition, 1980.
25. D. Goldfarb and A. Idnani, “A numerically stable dual method for solving strictly convex quadratic programs,” Mathematical Programming, vol. 27, pp. 1–33, 1983.
26. C. A. Klein and K. B. Kee, “The nature of drift in pseudoinverse control of kinematically redundant manipulators,” IEEE Trans. Robotics Automat., vol. 5, no. 2, pp. 231–234, 1989.
27. IMSL Library User’s Manual. IMSL Inc., Houston, TX, 1987.