A current need in the robotics eld is the denition of methodologies for quantitatively evaluating the results of experiments. This paper contributes to this by dening a new criterion for assessing path-following tasks in the planar case, that is, evaluating the performance of robots that are required to follow a desired reference path. Such criterion comes from the study of the local dierential geometry of the problem. New conditions for deciding whether or not the zero locus of a given polynomial intersects the neighbourhood of a point are dened. Based on this, new algorithms are presented and tested on both simulated data and experiments conducted at sea employing an Unmanned Surface Vehicle.
Saggini, E., Torrente, M. L., An Euclidean norm based criterion to assess robots' 2Dpath-following performance, <<JOURNAL OF ALGEBRAIC STATISTICS>>, 2016; (1): 45-71 [http://hdl.handle.net/10807/85671]
An Euclidean norm based criterion to assess robots' 2D path-following performance
Saggini, EleonoraPrimo
;
2016
Abstract
A current need in the robotics eld is the denition of methodologies for quantitatively evaluating the results of experiments. This paper contributes to this by dening a new criterion for assessing path-following tasks in the planar case, that is, evaluating the performance of robots that are required to follow a desired reference path. Such criterion comes from the study of the local dierential geometry of the problem. New conditions for deciding whether or not the zero locus of a given polynomial intersects the neighbourhood of a point are dened. Based on this, new algorithms are presented and tested on both simulated data and experiments conducted at sea employing an Unmanned Surface Vehicle.
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