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Parallel computation of the inertia matrix of a tree type robot using one directional recursion of Newton-Euler formulation

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Abstract

This paper is devoted to the computation of the inertia matrix of a tree structured multi-arm robot system. Based on the PPO-Recursion proposed by the authors for the inertial, coupling, and gravitational dynamics of a robot [9], a parallel algorithm for computing the inertia matrix of chain structure robot has been achieved [10]. In the paper the PPO-Recursion is extended to be applied for the tree structured robot after. Appropriate interpretation of the dynamic properties of the branching link in the tree structure is introduced. The proposed algorithm offers high parallelism and is being under the realization in a transputer network.

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References

  1. 1.

    Luh, J. Y. S., Walker, M. W. and Paul, R. P. C.: On-line computational scheme for mechanical manipulators, Trans. ASME J. Dynamic Syst., Meas., Contr. 102 (1980), 69–79.

  2. 2.

    Walke, M. W. and Orin, D. E.: Efficient dynamic computer simulation of robotic mechanisms, Tran. ASME J. Dynamic Syst., Meas., Contr. 104 (1982), 205–211.

  3. 3.

    Desoyer, K., Kopacek, P., and Troch, I.: Industrieroboter und Handhabungsgeräte: Aufbau, Einsatz, Dynamik, Modellbildung und Regelung, R. Oldenbourg Verlag, München, Wien, 1985.

  4. 4.

    Khalil, W. and Kleifinger, J. F.: Minimum operation and minimum parameters of the dynamic models of tree structure robots, IEEE J. Robot., Autom. RA-3(6) (1987).

  5. 5.

    Lee, C. S. G. and Lee, B. H.: Development of generalized d'Alembert equations of motion for robot manipulators, IEEE Tran. Syst., Man, Cybn. SMC-17(2) (1987), 311–325.

  6. 6.

    Li, C. J.: A new method of dynamics for robot manipulators, IEEE Tran. Syst. Man. Sybn. SMC-18(1) (1988), 105–114.

  7. 7.

    Lee, C. S. G. and Chang, P. R.: Efficient parallel algorithms for robot forward dynamics computation, IEEE Tran. Syst. Man. Cybn. 8(2) (1988).

  8. 8.

    Fijany, A. and Bejczy, A. K.: A class of parallel algorithms for computation of the manipulator inertia matrix, IEEE Tran. Robot., Autom. 5(5) (1988), 600–615.

  9. 9.

    Pu, H. J., Abdalla, E., Abdelatif, L., and Nour Eldin, H. A.: A novel physically parallel one directional recursive algorithm (PPO-Recursion) for robot inverse dynamics, IEEE/SMC'93 Conference: System Engineering in Service of Humans, Le Touquet, France, Oct. 17–20, 1993.

  10. 10.

    Pu, H. J., Abdalla, E., Müller, M. and Nour Eldin, H. A.: Parallel computation of the manipulator inertia matrix through one directional recursion in the Newton-Euler formulation, VDI/VDE Fachtagung: Intelligente Steuerung und Regelung von Robotern, Langen Germany, Nov. 9–10, 1993.

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Pu, H.J., Müller, M., Abdalla, E. et al. Parallel computation of the inertia matrix of a tree type robot using one directional recursion of Newton-Euler formulation. J Intell Robot Syst 15, 33–39 (1996). https://doi.org/10.1007/BF00435725

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Key words

  • Robotics
  • robot dynamics
  • parallel computation