# Control of underwater vehicles in inviscid fluids. I. Irrotational flows

Authors: R. Lecaros and L. Rosier, ESAIM: Control, Optimisation, and Calculus of Variations, Vol 20, no 3, pp. 662--703, 2014, DOI: 10.1051/cocv/2013079

In this paper, we investigate the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid whose flow is assumed to be irrotational. Taking as control input the flow of the fluid through a part of the boundary of the rigid body, we obtain a finite-dimensional system similar to Kirchhoff laws in which the control input appears through both linear terms (with time derivative) and bilinear terms. Applying Coron’s return method, we establish some local controllability results for the position and velocities of the underwater vehicle. Examples with six, four, or only three controls inputs are given for a vehicle with an ellipsoidal shape.

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BibTeX:

@Article{,

author = {R. Lecaros and L. Rosier},

title = {Control of underwater vehicles in inviscid fluids. I. Irrotational flows},

journal = {ESAIM: Control, Optimisation, and Calculus of Variations},

volume = {20},

number = {3},

pages = {662-662},

year = {2014},

}

In this paper, we investigate the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid whose flow is assumed to be irrotational. Taking as control input the flow of the fluid through a part of the boundary of the rigid body, we obtain a finite-dimensional system similar to Kirchhoff laws in which the control input appears through both linear terms (with time derivative) and bilinear terms. Applying Coron’s return method, we establish some local controllability results for the position and velocities of the underwater vehicle. Examples with six, four, or only three controls inputs are given for a vehicle with an ellipsoidal shape.

Download PDF

BibTeX:

@Article{,

author = {R. Lecaros and L. Rosier},

title = {Control of underwater vehicles in inviscid fluids. I. Irrotational flows},

journal = {ESAIM: Control, Optimisation, and Calculus of Variations},

volume = {20},

number = {3},

pages = {662-662},

year = {2014},

}