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Motion Planning for the 3\(\text {S}_\text {n}\!\!\) PU Robot

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Parallel Robots With Unconventional Joints

Part of the book series: Parallel Robots: Theory and Applications ((PRTA))

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Abstract

The kinetostatics of the 3\(\text {S}_\text {n}\!\!\) PU robot allowed us, in the previous chapter, to prove that this robot is able to locally move its moving platform—within some regions—in a six-dimensional configuration space. In this chapter we go a step further by presenting a solution to the motion planning problem which can be adapted to other non-holonomic parallel robots. This chapter presents some results obtained in cooperation with professors Krzysztof Tchoń and Janusz Jakubiak from Wrocław University of Technology, Poland, which already appeared in [3].

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References

  1. J. Jakubiak, K. Tchoń, W. Magiera, Motion planning in velocity affine mechanical systems. Int. J. Control 83(9), 1965–1974 (2010)

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  2. K. Tchoń, J. Jakubiak, Endogenous configuration space approach to mobile manipulators: a derivation and performance assessment of Jacobian inverse kinematics algorithms. Int. J. Control 76(14), 1387–1419 (2003)

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  3. K. Tchoń, J. Jakubiak, P. Grosch, F. Thomas, Motion planning for parallel Robots with non-holonomic joints, Latest Advances in Robot Kinematics (2012), pp. 115–122

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Correspondence to Patrick Grosch .

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Grosch, P., Thomas, F. (2019). Motion Planning for the 3\(\text {S}_\text {n}\!\!\) PU Robot. In: Parallel Robots With Unconventional Joints. Parallel Robots: Theory and Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-11304-9_5

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  • DOI: https://doi.org/10.1007/978-3-030-11304-9_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11303-2

  • Online ISBN: 978-3-030-11304-9

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