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On the control of the motion of a boat

Glass, Olivier; Rosier, Lionel (2013), On the control of the motion of a boat, Mathematical Models and Methods in Applied Sciences, 23, 4. http://dx.doi.org/10.1142/S0218202512500571

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Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00580724/fr/
Date
2013
Journal name
Mathematical Models and Methods in Applied Sciences
Volume
23
Number
4
Publisher
World Scientific
Publication identifier
Metadata
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Author(s)
Glass, Olivier
Rosier, Lionel cc
Abstract (EN)
In this paper we study the motion of a boat, viewed as a rigid body S with one axis of symmetry, which is surrounded by an inviscid incompressible fluid filling R^2 -S. We take as control input the flow of the fluid through a part of the boundary of the boat. We prove that the position, orientation, and velocity of the boat are locally controllable with a bidimensional control input, even if the flow displays some vorticity.
Subjects / Keywords
Controllability; Return method; Euler equation; Fluid-structure interaction problem; Exterior domain