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Optimal path planning including forces at the gripper

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Abstract

In recent years, a topological method has been established by several authors for the evaluation of time-optimal trajectories for manipulators with tree-like structures and without forces at the gripper, i.e. for free trajectories. In the following, we extend this method to the case of an arbitrary force vector at the robot's hand, which corresponds to some path in contact with a surface. Optimizing the actuator torques in such a way might be seen as a first step to controlling trajectories with regard to position, orientation, and forces in the presence of elasticity. Results of the method confirm the basic ideas of the topological solution.

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References

  1. Bobrow, J.E., Dubowsky, S., and Gibson, J.S., 1985. Time-optimal control of robotic manipulators along specified paths, Internat. J. Robot. Res. 4, 3–17.

    Google Scholar 

  2. Dubowsky, S. and Shiller, Z., 1985, Optimal trajectories for robotic manipulators, Proc. 5th CISM-IFToMM Symp. on Theory and Practice of Robots and Manipulators, London.

  3. Hollerbach, J.M., 1984, Dynamic scaling of manipulator trajectories, ASME J. Dynamic Syst. Meas. Contr. 106, 102–106.

    Google Scholar 

  4. Johanni, R., 1988, Optimale Bahnplanung bei Industrierobotern, Fortschrittberichte VDI, Reihe 18, Nr. 51, VDI-Verlag, Düsseldorf.

    Google Scholar 

  5. Johanni, R. and Pfeiffer, F., 1987, Optimale Bahnplanung für Industrieroboter, Robotersysteme 3, 29–36.

    Google Scholar 

  6. Müller, J., 1983, Überlegungen zu zeitoptimalen Roboterbahnen, TU München, Lehrstuhl B für Mechanik, Diplomarbeit.

  7. Pfeiffer, F., 1985. Beitrag zu optimalen Roboterbahnen, Z. Angew. Math. Mech. 65(5), 321–322.

    Google Scholar 

  8. Pfeiffer, F. and Reithmeier, E., 1987, Roboterdynamik, Teubner Verlag.

  9. Pfeiffer, F. and Johanni, R., 1987, A concept for manipulator trajectory planning, IEEE J. Robot. Automat. RA-3, No. 2.

  10. Pfeiffer, F. and Gebler, B., 1988, A multistage approach to the dynamics and control of elastic robots, Proc. IEEE Internat. Conf. on Robotics and Automation, Philadelphia, PA.

  11. Shin, K.G. and McKay, N.D., 1985, Minimum-time control of robotic manipulators with geometric path constraints, IEEE Trans. Automat. Control. 30, 531–541.

    Google Scholar 

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Pfeiffer, F., Richter, K. Optimal path planning including forces at the gripper. J Intell Robot Syst 3, 251–258 (1990). https://doi.org/10.1007/BF00126072

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  • DOI: https://doi.org/10.1007/BF00126072

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