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Controllability and control synthesis of underactuated magnetic microrobots

Authors: Fruchard, Matthieu;

Controllability and control synthesis of underactuated magnetic microrobots

Abstract

The control of multiple magnetic microrobots is of particular interest for therapeutic applications. Yet the controllability of such a system is not straightforward since, on most of such systems designs, there is only a single control input per axis. The paper addresses the controllability and control synthesis for several magnetic microrobots navigating in blood vessels. First, controllability requires the microrobots to magnetically interact in order to achieve trajectory tracking along an admissible reference trajectory, whether swimming at low or high Reynolds. Then the resulting nonlinear system is shown to be diffeomorphic to different nonlinear canonical forms depending on the choice of the microrobots, so that the stabilization of the system along any admissible reference trajectory can be achieved using a backstepping controller synthesis, yet sometimes at the price of a zero dynamics stability analysis. Simulation results illustrate the efficiency of the proposed approach.

Keywords

Controllability, [SDV.IB] Life Sciences [q-bio]/Bioengineering, Multi-agent systems, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Automated systems (robots, etc.) in control theory, controllability, controllability underactuated multi-agent system nonlinear control synthesis medical microrobotics, underactuated multi-agent system, medical microrobotics, Nonlinear systems in control theory, [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG], nonlinear control synthesis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
Green