A Model for Robotic Hand Based on Fibonacci Sequence

Abstract

We study a robot hand model involving Fibonacci sequence. Fingers are modeled via hyper-redundant planar manipulators. Binary controls rule the dynamics of the hand, in particular the extension and the rotation of each phalanx. By estabilishing a relation with Iterated Function Systems, we investigate the reachable workspace and its convex hull. Finally, we give an explicit characterization of the convex hull of the reachable workspace in a particular case.