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A New Method for the Inverse Kinematics of 6-DOF Manipulator Based on Dual Quaternion

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Advances in Mechanical and Electronic Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 176))

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Abstract

The inverse kinematics of 6-DOF manipulator is one of the main concerns and difficult problem in robotics. This dissertation presents a new method for the inverse kinematics of 6-DOF manipulator based on dual quaternion which uses dual quaternion to respect both rotation and translation in a single transformation vector. So all the revolute joints of 6-DOF manipulator can be denoted by dual quaternion. The simulation was provided to verify the feasibility and precision of the proposed new method.

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References

  1. Liu, D., Wang, T.: Algorithm combined analytical and numerical solutions for robot inverse kinematics. Journal of Beijing University of Aeronautics and Astronautics 33(6), 727–730 (2007) (in Chinese)

    Google Scholar 

  2. Angeles, J.: On the numerical solution for inverse kinematics problem. Int J. Robotics Research 4(2), 21–37 (1985)

    Article  Google Scholar 

  3. Xu, J., Wang, W.: Two optimization algorithm for solving robotics inverse kinematics with redundancy. In: IEEE International Conference on Control and Automation, ICCA 2007, pp. 3021–3028 (2007)

    Google Scholar 

  4. Du, Y., Wu, Y.: Application of IPSO algorithm to inverse kinematics solution of reconfigurable modular robots. In: 2011 International Conference on Mechatronic Science, Electric Engineering and Computer, pp. 19–22 (2011)

    Google Scholar 

  5. Shen, X.-N., Li, S.: Multi-object Genetic Algorithm for Inverse Kinematics Problem of Redundant Manipulator. Journal of System Simulation 20(2), 399–403 (2008) (in Chinese)

    Google Scholar 

  6. Bi, Z., Cai, H.: Inverse Kinematics Problem of 6-DOF Manipulator. Robot 16(2), 92–97 (1994)

    Google Scholar 

  7. Ni, Z., Liao, Q.: Dual Four Element Method for Inverse Kinematics Analysis of Spatial 6R Manipulator. Journal of Mechanical Engineering 11(45), 25–29 (2009) (in Chinese)

    Article  Google Scholar 

  8. Mandic, D.P., Jahanchahi, C.: A quaternion gradient operator and its application. IEEE Signal Processing Letters 1(18), 47–50 (2011)

    Article  Google Scholar 

  9. Pham, H.-L., Predereau, V.: Position and orientation control of robot manipulators using dual quaternion feedback. Intelligent Robots and System(IROS), 658–663 (2010)

    Google Scholar 

  10. Caccavale, F., Siciliano, B.: Quaternion-based kinematic control of redundant spacecraft/manipulator system. In: Proceedings of the 2001 IEEE International Conference on Robotics and Automation, pp. 435–440 (2001)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Nan, Y., Wu, P. (2012). A New Method for the Inverse Kinematics of 6-DOF Manipulator Based on Dual Quaternion. In: Jin, D., Lin, S. (eds) Advances in Mechanical and Electronic Engineering. Lecture Notes in Electrical Engineering, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31507-7_49

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  • DOI: https://doi.org/10.1007/978-3-642-31507-7_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31506-0

  • Online ISBN: 978-3-642-31507-7

  • eBook Packages: EngineeringEngineering (R0)

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