Literature DB >> 27278361

Control at stability's edge minimizes energetic costs: expert stick balancing.

John Milton1, Ryan Meyer2, Max Zhvanetsky3, Sarah Ridge4, Tamás Insperger5.   

Abstract

Stick balancing on the fingertip is a complex voluntary motor task that requires the stabilization of an unstable system. For seated expert stick balancers, the time delay is 0.23 s, the shortest stick that can be balanced for 240 s is 0.32 m and there is a [Formula: see text]° dead zone for the estimation of the vertical displacement angle in the saggital plane. These observations motivate a switching-type, pendulum-cart model for balance control which uses an internal model to compensate for the time delay by predicting the sensory consequences of the stick's movements. Numerical simulations using the semi-discretization method suggest that the feedback gains are tuned near the edge of stability. For these choices of the feedback gains, the cost function which takes into account the position of the fingertip and the corrective forces is minimized. Thus, expert stick balancers optimize control with a combination of quick manoeuvrability and minimum energy expenditures.
© 2016 The Author(s).

Keywords:  microchaos; predictor feedback; sensory dead zone; stick balancing; time delay

Mesh:

Year:  2016        PMID: 27278361      PMCID: PMC4938085          DOI: 10.1098/rsif.2016.0212

Source DB:  PubMed          Journal:  J R Soc Interface        ISSN: 1742-5662            Impact factor:   4.118


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