This paper focuses on the mechanism of propulsion of a Purcell swimmer whose segments are magnetized and react to an external magnetic field applied into the fluid. By an asymptotic analysis, we prove that it is possible to steer the swimmer along a chosen direction when the control functions are prescribed as an oscillating field. Moreover, we discuss what are the main obstructions to overcome in order to get classical controllability result for this system.
Publié le : 2017-07-04
Classification:
Tracking,
Control in system biology,
Application of nonlinear analysis and design,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-01393314,
author = {Alouges, Fran\c cois and Desimone, Antonio and Giraldi, Laetitia and Zoppello, Marta},
title = {Purcell magneto-elastic swimmer controlled by an external magnetic field},
journal = {HAL},
volume = {2017},
number = {0},
year = {2017},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01393314}
}
Alouges, François; Desimone, Antonio; Giraldi, Laetitia; Zoppello, Marta. Purcell magneto-elastic swimmer controlled by an external magnetic field. HAL, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/hal-01393314/