In this paper, we have proposed a number of measures for the quantification of dexterity of manipulators. The use of such measures is especially important for kinematically redundant manipulators since they can satisfy secondary cri teria in addition to satisfying a specification of end-effector motion. We will compare several measures for the problems offinding an optimal configuration for a given end-effector position, finding an optimal workpoint, and designing the op timal link lengths of an arm.
Get full access to this article
View all access options for this article.
References
1.
Asada, H.1983. A geometrical representation of manipulator dynamics and its application to arm design. J. Dyn. Sys., Meas., Contr. Trans. ASME105(3):131-135.
2.
Asada, H., and By, A.B.1985 (March 25-28, St. Louis). Kinematics of workpart fixturing. Proc. 1985 IEEE Int. Conf. Robotics Automation. Silver Spring, Md.: IEEE Computer Society Press, pp. 337-345.
3.
Baillieul, J.1985 (March 25-28, St. Louis). Kinematic programming alternatives for redundant manipulators. Proc. 1985 IEEE Int. Conf. Robotics Automation. Silver Spring, Md.: IEEE Computer Society Press, pp. 722-728.
4.
Blaho, B.E.1985. Evaluation of dexterity measures for kinematically redundant robotic systems. M.S. thesis, The Ohio State University, Department ofElectrical Engineering.
5.
Forsythe, G., and Moler, C.B.1967. Computer solution of linear algebraic systems. Englewood Cliffs, N.J.: Prentice-Hall.
6.
Gupta, K.C., and Roth, B.1982. Design considerations for manipulator workspace. ASME J. of Mechanical Design104(4):704-712.
7.
Hoelscher, R.P., and Springer, C.H.1961. Engineering drawing and geometry. New York: Wiley.
8.
Hollerbach, J.M., and Suh, K.C.1985 (March 25-28, St. Louis). Redundancy resolution of manipulators through torque optimization. Proc. 1985 IEEE Int. Conf. Robotics Automation. Silver Spring, Md.: IEEE Computer Society Press, pp. 1016-1022.
9.
Isaacson, E., and Keller, H.B.1966. Analysis of numerical methods. New York: Wiley.
10.
Jacobsen, S.C., et al. 1985 (Aug. 20-23, 1984, Kyoto). The version I Utah/MIT dextrous hand. In Robotics Research: The Second International Symposium, eds. H. Hanafusa and H. Inoue, pp. 301-308. Cambridge : MIT Press.
11.
Klein, C.A.1984. Design of shaped-beam antennas through minimax gain optimization . IEEE Trans. Antennas Propag. AP-32(9):963-968.
12.
Klein, C.A.1985 (Aug. 20-23, 1984, Kyoto). Use of redundancy in the design of robotic systems. In Robotics Research: The Second Internationad Symposium, eds. H. Hanafusa and H. Inoue , pp. 207-214. Cambridge: MIT Press .
13.
Klein, C.A., and Chirco, A.I. (in press). Dynamic simulation of a kinematically redundant manipulator system. J. Robotic Systems4(1).
14.
Klein, C.A., and Huang, C.H.1983. Review of pseudoinverse control for use with kinematically redundant manipulators. IEEE Trans. Sys., Man, Cyber. SMC-13(2):245-250.
15.
Klema, V.C., and Laub, A.J.1980. The singular value decomposition: its computation and some applications. IEEE Trans. Auto. Control Ac-25(2):164-176.
16.
Kobayashi, H.1985. Control and geometrical considerations for an articulated robot hand. Int. J. Robotics Res.4(1):3-12.
17.
Liegeois, A.1977. Automatic supervisory control for the configuration and behavior of multibody mechanisms. IEEE Trans. Sys., Man, Cyber. SMC-7(12):842-868.
18.
Maciejewski, A.A., and Klein, C.A.1985. Obstacle avoidance for kinematically redundant manipulators in dynamically varying environments. Int. J. Robotics Res.4(3):109-117.
19.
Nakamura, Y., and Hanafusa, H.1985 (Aug. 20-23, 1984, Kyoto). Task priority based redundancy control of robot manipulators. In Robotics Research: The Second International Symposium, eds. H. Hanafusa and H. Inoue , pp. 155-162. Cambridge: MIT Press .
20.
Paul, R.P.1981. Robot manipulators: mathematics, programming, and control . Cambridge: MIT Press.
21.
Paul, R.P., and Stevenson, C.N., 1983. Kinematics of robot wrists. Int. J. Robotics Res.2(1):31- 38.
22.
Rao, C.R., and Mitra, S.K.1971. Generalized inverse of matrices and its applications. New York: Wiley.
23.
Salisbury, J.K., and Abramowitz, J.D.1985 (March 25-28, St. Louis ). Design and control of a redundant mechanism for small motion. Proc. 1985 IEEE Int. Conf. Robotics Automation . Silver Spring, Md.: IEEE Computer Society Press, pp. 323-328.
24.
Salisbury, J.K., and Craig, J.J.1982. Articulated hands: force control and kinematic issues . Int. J. Robotics Res.1(1):4-17.
25.
Salisbury, J.K., and Roth, B.1983. Kinematic and force analysis of articulated mechanical hands. Trans. ASME J. Mechanisms, Transmissions, Automation in Design105(1):35-41.
26.
Trevelyan, J.P., Kovesi, P.D., and Ong, M.C.H.1984 (Aug. 28-Sept. 2, 1983, Bretton Woods, N.H.). Motion control for a sheep shearing robot. Robotics Research: The First International Symposium, eds. M. Brady and R. Paul, pp. 175-191. Cambridge: MIT Press.
27.
Uchiyama, M., Shimizu, K., and Hakomori, K.1985 (Aug. 20-23, 1984, Kyoto). Performance evaluation of manipulators using the Jacobian and its application to trajectory planning. In Robotics Research: The Second International Symposium, eds. H. Hanafusa and H. Inoue, pp. 447-454. Cambridge : MIT Press.
28.
Vijaykumar, R., Tsai, M.J., and Waldron, K.J.1985 (March 25-28, St. Louis). Geometric optimization of manipulator structures for working volume and dexterity. Proc. 1985 IEEE Int. Conf. Robotics Automation. Silver Spring, Md.: IEEE Computer Society Press, pp. 228-236.
29.
Whitney, D.E.1972. The mathematics of coordinated control of prosthetic arms and manipulators. Trans. ASME J. Dyn. Sys., Meas., Contr. 94(4):303-309.
30.
Yoshikawa, T.1984 (Aug. 28-Sept. 2, 1983, Bretton Woods, N.H.). Analysis and control of robot manipulators with redundancy. In Robotics Research: The First International Symposium, eds. M. Brady and R. Paul, pp. 735-747. Cambridge: MIT Press.
31.
Yoshikawa, T.1985a. Dynamic manipulability of robot manipulators. J. Robotic Systems2(1):113-124.
32.
Yoshikawa, T.1985b. Manipulability of robotic mechanisms. Int. J. Robotic Res.4(2):3-9.