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arXiv · 1403.2882

A Fibonacci control system with application to hyper-redundant manipulators

Anna Chiara Lai·Paola Loreti·Pierluigi Vellucci
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Abstract

We study a robot snake model based on a discrete linear control system involving Fibonacci sequence and closely related to the theory of expansions in non-integer bases. The present paper includes an investigation of the reachable workspace, a more general analysis of the control system underlying the model, its reachability and local controllability properties and the relation with expansions in non-integer bases and with iterated function systems.

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Anna Chiara Lai, Paola Loreti, Pierluigi Vellucci. 2014-03-12. A Fibonacci control system with application to hyper-redundant manipulators. https://arxiv.org/abs/1403.2882

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