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Tracking Trajectories with a Robotic Manipulator with Singularities

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Advances in Brain, Vision, and Artificial Intelligence (BVAI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4729))

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Abstract

This research presents a trajectory control for non-redundant serial-link manipulators that is valid for trajectories with ordinary singularities of codimension one and non-ordinary singularities of any codimension. Firstly, it is presented a unified view of tracking algorithms for trajectories with ordinary singularities. Afterwards, several singularity classifications are indicated and illustrated. Then, it is developed a procedure to solve the indeterminate motion of non-ordinary singularities, which is applied to several cases. Finally, the proposed trajectory control is presented and simulated for the 2R manipulator case.

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References

  1. Sampei, M., Furuta, K.: Robot control in the neighborhood of singular points. IEEE Journal of Robotics and Automation 4(3), 303–309 (1988)

    Article  Google Scholar 

  2. Kieffer, J.: Manipulator inverse kinematics for untimed end-effector trajectories with ordinary singularities. International Journal of Robotics Research 11(3), 225–237 (1992)

    Article  Google Scholar 

  3. Nenchev, D.N.: Tracking Manipulator trajectories with ordinary singularities: a null space-based approach. The Int. Journal of Robotics Research 14(4), 399–404 (1995)

    Article  Google Scholar 

  4. Nenchev, D.N., Uchiyama, M.: Singularity-consistent path planning and motion control through instantaneous self-motion singularities of parallel-link manipulators. Journal of Robotic Systems 14(1), 27–36 (1997)

    Article  MATH  Google Scholar 

  5. Nenchev, D.N., Tsumaki, Y., Uchiyama, M.: Singularity-consistent parameterization of robot motion and control. The Int. J. of Robotics Research 19(2), 159–182 (2000)

    Article  Google Scholar 

  6. Liegeois, A.: Automatic supervisory control of the configuration and behavior of multibody mechanisms. IEEE Trans. on Systems, Man and Cybernetics SMC-7, 868–871 (1977)

    Google Scholar 

  7. Stanisic, M.M., Pennock, G.R.: A non-degenerate kinematic solution of a seven-jointed robot manipulator. The Int. J. of Robotics Research 4(2), 10–20 (1985)

    Article  Google Scholar 

  8. Lloyd, J.E., Hayward, V.: Singularity-robust trajectory generation. The International Journal of Robotics Research 20(1), 38–56 (2001)

    Article  Google Scholar 

  9. Maciejewski, A.A., Klein, C.A.: Numerical filtering for the operation of robotic manipulators through kinematically singular configurations. J. of Rob. Syst. 5, 527–552 (1988)

    Article  Google Scholar 

  10. Chiacchio, P., Chiaverini, S., Sciavicco, L., Siciliano, B.: Closed-loop inverse kinematics schemes for constrained reundant manipulators with task space augmentation and task priority strategy. Int. Journal of Robotic Research 10(4), 410–425 (1991)

    Article  Google Scholar 

  11. Tsumaki, Y., Nenchev, D.N.: Jacobian adjoint matrix based approach to teleoperation. In: Int. Symp. On Microsystems, Intelligent Materials and Robots, Sendai, Japan, pp. 532–535 (1995)

    Google Scholar 

  12. Kieffer, J.: Differential analysis of bifurcations and isolated singularities for robots and mechanisms. IEEE Transactions on Robotics and Automation 10(1), 1–10 (1994)

    Article  MathSciNet  Google Scholar 

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Francesco Mele Giuliana Ramella Silvia Santillo Francesco Ventriglia

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© 2007 Springer-Verlag Berlin Heidelberg

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Gracia, L., Tornero, J. (2007). Tracking Trajectories with a Robotic Manipulator with Singularities. In: Mele, F., Ramella, G., Santillo, S., Ventriglia, F. (eds) Advances in Brain, Vision, and Artificial Intelligence. BVAI 2007. Lecture Notes in Computer Science, vol 4729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75555-5_57

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  • DOI: https://doi.org/10.1007/978-3-540-75555-5_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75554-8

  • Online ISBN: 978-3-540-75555-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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