© 2017 Elsevier Ltd This work addresses the inverse kinematic problem for redundant serial manipulators. Its importance relies on its effect in the programming and control of redundant robots. Besides, no general closed-form techniques have been developed so far. In this paper, redundant manipulators are reduced to non-redundant ones by selecting a set of joints, denoted redundant joints, and parametrizing its joint variables. This selection is made through a workspace analysis which also provides an upper bound for the number of different closed-form solutions for a given pose. Once these joints have been identified several closed-form methods developed for non-redundant manipulators can be applied for obtaining the analytical solutions. Finally, particular instances for the parametrized joints variables are determined depending on the task to be executed. Different criteria and optimization functions can be defined for that purpose.Peer ReviewedPostprint (author's final draft

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<p>En este trabajo se presenta un análisis cinemático aplicado a dos manipuladores serie redundantes: el Kuka LWR 4+ y el ABB Yumi. En particular se deriva la cinemática directa para ambos manipuladores y se resuelve el problema de la cinemática inversa. Para el Kuka LWR 4+ dicha solución se obtiene en forma analítica, mientras que para el ABB Yumi se sigue un enfoque analítico y numérico. Además, se calculan simbólicamente tanto las singularidades del Kuka LWR 4+ como las direcciones singulares asociadas a estas. Este estudio contribuye al conocimiento cinemático de dos manipuladores redundantes de gran actualidad e interés para la comunidad robótica, y proporciona información útil para el diseño de diferentes algoritmos y leyes de control.</p>