On the control of the motion of a boat

Olivier Glass (1) , Lionel Rosier (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 IECL - Institut Élie Cartan de Lorraine

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.

Mots clés: Euler equation; Fluid-structure interaction problem; Exterior domain; Controllability; Return method

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Glass, Lionel Rosier. On the control of the motion of a boat. Mathematical Models and Methods in Applied Sciences, 2013, 23 (4), pp.617-670. ⟨hal-00580724⟩