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
Sampei, M., Furuta, K.: Robot control in the neighborhood of singular points. IEEE Journal of Robotics and Automation 4(3), 303–309 (1988)
Kieffer, J.: Manipulator inverse kinematics for untimed end-effector trajectories with ordinary singularities. International Journal of Robotics Research 11(3), 225–237 (1992)
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)
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)
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)
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)
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)
Lloyd, J.E., Hayward, V.: Singularity-robust trajectory generation. The International Journal of Robotics Research 20(1), 38–56 (2001)
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)
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)
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)
Kieffer, J.: Differential analysis of bifurcations and isolated singularities for robots and mechanisms. IEEE Transactions on Robotics and Automation 10(1), 1–10 (1994)
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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
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