Computational Kinematics 2009
DOI: 10.1007/978-3-642-01947-0_23
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A Geometric Newton-Raphson Method for Gough-Stewart Platforms

Abstract: A geometric version of the well known Newton-Raphson methods is introduced. This root finding method is adapted to find the zero of a function defined on the group of rigid body displacements. At each step of the algorithm a rigid displacement is found that approximates the solution. The method is applied to the forward kinematics problem of the Gough-Stewart platform.

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Cited by 5 publications
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“…No entanto, tal abordagem pode ser computacionalmente custosa, o que compromete a performance do sistema em aplicações de tempo real, por exemplo. Outras soluções exploram características geométricas do manipulador para simplificar as equações (Selig and Li, 2009).…”
Section: Introdu ç ãOunclassified
“…No entanto, tal abordagem pode ser computacionalmente custosa, o que compromete a performance do sistema em aplicações de tempo real, por exemplo. Outras soluções exploram características geométricas do manipulador para simplificar as equações (Selig and Li, 2009).…”
Section: Introdu ç ãOunclassified