Portal de Periódicos da CAPES

Potential and optimal control of human head movement using Tait–Bryan parametrization

2014; Elsevier BV; Volume: 50; Issue: 2 Linguagem: Inglês

10.1016/j.automatica.2013.11.017

1873-2836

Indika B. Wijayasinghe, Justin Ruths, U. Büttner, Bijoy K. Ghosh, Stefan Glasauer, Olympia Kremmyda, Jr-Shin Li,

Motor Control and Adaptation

Human head movement can be looked at, as a rotational dynamics on the space SO(3) with constraints that have to do with the axis of rotation. Typically the axis vector, after a suitable scaling, is assumed to lie in a surface called Donders' surface. Various descriptions of Donders' surface are in the literature and in this paper we assume that the surface is described by a quadratic form. We propose a Tait–Bryan parametrization of SO(3), that is new in the head movement literature, and describe Donders' constraint in these parameters. Assuming that the head is a perfect sphere with its mass distributed uniformly and rotating about its own center, head movement models are constructed using classical mechanics. A new potential control method is described to regulate the head to a desired final orientation. Optimal head movement trajectories are constructed using a pseudospectral method, where the goal is to minimize a quadratic cost function on the energy of the applied control torques. The model trajectories are compared with measured trajectories of human head movement.