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Real-time computational aspects of multiple manipulator systems

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Abstract

In this paper, we address the topic of numerical computation in a system of multiple manipulators, one which has received scant attention despite a great deal of research in development of control schemes and the proliferation of similar work on single manipulator systems. Different approaches to computations in kinematics, statics and dynamics of multiple manipulator systems are studied and compared. The results show that significant savings in computational count can be achieved through customization of models. A systematic approach to customization is also described herein.

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References

  1. Arimoto, S. and Miyazaki, F., Cooperative motion control of multiple robots or fingers,Proc. IEEE Conf. Robot. Automat.. 1987, pp. 1407–1412.

  2. Balafoutis, C. A. and Patel, R. V.,Dynamic Analysis of Robot Manipulators: A Cartesian Tensor Approach, Kluwer Academic Publishers, Boston: MA, 1991.

    Google Scholar 

  3. Elgazzar, S., Efficient kinematic transformations for the PUMA-560 robot,IEEE J. Robot. Automat. RA-1(3) 142–251 (1985).

    Google Scholar 

  4. Fijany, A. and Bejczy, A. K., An Efficient method for computation of the manipulator inertia matrix,Proc. IEEE Inter. Conf. Robot. Automat. 1989, pp. 1366–1372.

  5. Furtune, S. and Wilfong, G., Coordinated motion of two robot arms,Proc. IEEE Conf. Robot. Automat. 1986, pp. 1216–1223.

  6. Hollerbach, J. M., A recursive lagrangian formulation of manipulator dynamics and a comparative study of dynamics formulation complexity, IEEE Trans. Systems Man Cybernet.SMC-10(11), 730–736 (1980).

    Google Scholar 

  7. Khalil, W., Kleinfinger, J. F., and Gauthier, M., Reducing the computational burden of the dynamic models of robots,Proc. IEEE Inter. Conf. Robot. Autom., 1986, pp. 525–532.

  8. Khosla, P. K., “Choosing sampling rates for robot control,Proc. IEEE Conf. Robot. Autom. 1987, pp. 169–174.

  9. Kircanski, M., Vukobratovic, M., Kircanski, N., and Timcenko, A., A new program package for the generation of efficient manipulator kinematic and dynamic equations in symbolic form,Robotica 6, 1988, pp. 311–318.

    Google Scholar 

  10. Kircanski, N. and Vukobratovic, M., An efficient iterative analytical procedure for obtaining a robot manipulator dynamic model,Proc. 1st Inter. Sympos. Robot. Res., Bretton Wood, 1983.

  11. Lee, C. S. G., Robot arm kinematics, dynamics and control,IEEE Comput. 15(12), 62–80 (1982).

    Google Scholar 

  12. Lee, C. S. G. (ed). Robot manipulators: Algorithms and architectures,IEEE Trans. Robot. Autom. (special issue)RA-5,(5) (1989).

  13. Li, Z. and Sastry, S., Dextrous hands: grasping and manipulation,Workshop on Dextrous Hands, proc. IEEE Conf. Robot. Automat., Philadelphia, PA, 1988, pp. 69–106.

  14. Luh, J. Y. S., Walker, M. W., and Paul, R. P. C., On-line computational scheme for mechanical manipulators,Trans. ASME, J. Dynam. Systems Meas. Control 102, 69–72 (1980).

    Google Scholar 

  15. Luh, J. Y. S. and Zheng, Y. F., Constrained relation between two coordinated industrial robots for motion control,Inter. J. Robot. Res. 6(3), 60–70, (1987).

    Google Scholar 

  16. Neuman, P. C. and Murray, J. J., Computational robot dynamics: Foundations and applications,J. Robot. Systems 2(4), 425–452 (1985).

    Google Scholar 

  17. Orin, D. E. and Schrader, Efficient computation of the Jacobian for robot manipulators,Inter. J. Robot. Res. 3(4), 66–75, (1984).

    Google Scholar 

  18. Salisbury, J. K. and Craig, J. J., Articulated hands: Force control and kinematic issues,Inter. J. Robot. Res. 1(1), 4–17 (1982).

    Google Scholar 

  19. Topper, A., A computing architecture for a multiple robot controller, MEng Thesis, McGill Research Centre for Intelligent Machines, June 1991.

  20. Timcenko, A., Kircanski, N., and Vukobratovic, M., A two-step algorithm for generating efficient manipulator models in symbolic form,Proc. Inter. Conf. Robot. Automat. 1991, pp. 1887–1892.

  21. Vukobratovic, M. and Kircanski, M.,Kinematics and Trajectory Synthesis of Manipulation Robots, Springer-Verlag, New York, 1986.

    Google Scholar 

  22. Walker, M. W. and Orin, D. E., Efficient dynamic computer simulation of robotics mechanisms,Trans. ASME J. Dynam. Systems Meas. Control 104 (1982) pp. 205–211.

    Google Scholar 

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Authors and Affiliations

  1. Robotics and Automation Laboratory, Department of Mechanical Engineering, University of Toronto, M5S 1A4, Toronto, Ontario, Canada

    N. Kircanski, R. Hui, K. B. Shimoga & A. A. Goldenberg

Authors
  1. N. Kircanski
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  2. R. Hui
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  3. K. B. Shimoga
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  4. A. A. Goldenberg
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On sabbatical from the Mihailo Pupin Institute.

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Kircanski, N., Hui, R., Shimoga, K.B. et al. Real-time computational aspects of multiple manipulator systems. J Intell Robot Syst 9, 101–120 (1994). https://doi.org/10.1007/BF01258315

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  • DOI: https://doi.org/10.1007/BF01258315

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