This article presents some results on the closed-form, singular-value decomposition of the orientational Jacobian for threeand four-degreeof-freedom wristlike mechanisms. These results are used to study the kinematics of a centrifuge simulator and to determine the centrifuge s limitations in achieving maximum angular velocities. Also, the issue of fault tolerance for a redundant wrist is addressed.
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References
1.
Kircanski, M. V. 1995. Symbolic singular value decomposition for simple redundant manipulators and its application to robot control . Int. J. Robot. Res.14(4): 382-398 .
2.
Kircanski, M. V., and Boric, M. D. 1993. Symbolic singular value decomposition for a PUMA robot and its application to a robot operation near singularities . Int. J. Robot. Res.12(5): 460-472 .
3.
Klein, C. A., and Blaho, B. E. 1987. Dexterity measures for the design and control of kinematically redundant manipulators . Int. J. Robot. Res.6(2): 72-83 .
4.
Maciejewski, A. A., and Klein, C. A. 1988. Numerical filtering forthe operation of robotic manipulators through kinematically singular configurations . J. Robot. Sys.5(6): 527-552 .
5.
Maciejewski, A. A., and Klein, C. A. 1989. The singular value decomposition: Computation and application to robotics . Int. J. Robot. Res.8(6): 63-79 .
6.
Repperger, D. W. 1992. A study of supermaneuverable flight trajectories through motion-field simulation of a centrifuge simulator Trans. ASME J. Dyn. Sys. Meas. Control114(2): 270-277 .
7.
Roberts, R. G., and Maciejewski, A. A. 1996. A local measure of fault tolerance for kinematically redundant manipulators . IEEE Trans. on Robot. Automat. 12(4): 543-552 .
8.
Roberts, R. G., and Repperger, D. W. 1993. (May 11-13, Dayton, O). The dynamic environment simulator as a robotic system: Kinematic issues. Proc. of the 1993 IEEE Nat. Aerospace and Electronics Conf. (NAECON 93). Los Alamitos, CA: IEEE , pp. 686-689.
9.
Roberts, R. G., and Repperger, D. W. 1994 (May 8-13, San Diego, CA). The kinematics of robotic wrists. Proc. of the 1994 IEEE Int. Conf on Robot. and Automat. Washington, DC: IEEE , pp. 3337-3341.
10.
Wimpler, II, C. W 1985. Computer methods in manipulator kinematics, dynamics, and control: A comparative study. PhD thesis, Department of Mechanical Engineering, Stanford University.
11.
Vimpler, II, C. W. 1986. Manipulator inverse kinematic solutions based on vector formulations and damped leastsquares methods . IEEE lrans. Sys. Man Cybernet., SMC-16(1): 93-101 .
12.
Yoshikawa, T. 1985a. Dynamic manipulability of robot manipulators . J. Robot. Sys.2(l): 113-124 .
13.
Yoshikawa, T. 1985b. Manipulability of robotic mechanisms . Int. J. Robot. Res.4(2): 3-9 .
14.
Yoshikawa, T., and Kiriyama, S. 1989. Four-joint redundant wrist mechanism and its control . Trans. ASME J. Dyn. Sys. Meas. Control111: 200-204 .