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On the application of elastic band method to repeatable inverse kinematics in robot manipulators

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National Conference on Robotics (12, 12-16.2012, Świeradów-Zdrój, Poland)
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EN
Abstrakty
EN
In this paper an idea of the elastic band method was exploited to design a repeatable inverse kinematics algorithm for robot manipulators. The method incorporates an optimization process at many stages of its performance and admits some extensions. Performance of the algorithm was illustrated on models of the three DOF planar pendulum and the PUMA robot. A comparison with a standard pseudo-inverse Jacobian algorithm, which does not preserve repeatability of inverse kinematics, is also provided.
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  • Institute of Computer Engineering, Control and Robotics Wroclaw University of Technology, 50–372 Wroclaw, Janiszewski St. 11/17
autor
  • Institute of Computer Engineering, Control and Robotics Wroclaw University of Technology, 50–372 Wroclaw, Janiszewski St. 11/17
Bibliografia
  • [1] Chiaverini S., Oriolo G., Walker I.D., Handbook of Robotics, chapter Kinematically redundant manipulators, Springer Verlag, Berlin, 2008, 245–268.
  • [2] Duleba I., Methods and algorithms of motion planning for manipulators and mobile robots, EXIT, Academic Science Publisher, Warsaw, 2001, in Polish.
  • [3] Duleba I, Opałka M., Using the elastic band method to repeatable inverse kinematic algorithm for manipulators, Science Works, Warsaw Univ. of Technology, Electronics series, 2012, vol. 182, 2012, 351–356, in Polish.
  • [4] Karpińska J., Approximation of algorithms for robot motion planning. PhD thesis, Wroclaw University of Technology, 2012, in Polish.
  • [5] Klein C.A., Chu-Jeng C., Ahmed S., “A new formulation of the extended Jacobian method and its use in mapping algorithmic singularities for kinematically redundant manipulators”, IEEE Trans. Robot. Autom., vol. 11, 1995, 50–55.
  • [6] Lee C., Robot arm kinematics, dynamics, and control, Computer, vol. 15 (12), 1982, 62–80.
  • [7] Nakamura Y., Advanced Robotics: Redundancy and Optimization. Addison Wesley, New York, 1991.
  • [8] Quinlan S., Khatib O., “Elastic bands: Connecting path and control”, IEEE Int. Conf. on Robotics and Automation, vol. 2, 1993, 802–807.
  • [9] Richter S., DeCarlo R., “Continuation methods: Theory and applications”, IEEE Tran. on Automatic Control, vol. 28, no. 6, 1983, 660–665.
  • [10] Roberts R., Maciejewski A.A., “Repeatable generalized inverse control strategies for kinematically redundant manipulators”, IEEE Tran. on Automatic Control, vol. 38, 1993, 689–699.
  • [11] Spong M., Vidyasagar M., Introduction to robotics. Robot Dynamics and Control. MIT Press, Cambridge, 1989.
  • [12] Tchon K., Duleba I., “Definition of a kinematic metric for robot manipulators”, Journal of Robotic Systems, vol. 11, no. 3, 1994, 211–221.
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Bibliografia
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