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Journal Articles ESAIM: Control, Optimisation and Calculus of Variations Year : 2016

Control of underwater vehicles in inviscid fluids II. Flows with vorticity

Abstract

In a recent paper, the authors investigated the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid, assuming that the flow was irrotational. The aim of the present paper is to pursue this study by considering the more general case of a flow with vorticity. It is shown here that the local controllability of the position and the velocity of the underwater vehicle (a vector in R12) holds in a flow with vorticity whenever it holds in a flow without vorticity.

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Dates and versions

hal-01549589 , version 1 (28-06-2017)

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Rodrigo Lecaros, Lionel Rosier. Control of underwater vehicles in inviscid fluids II. Flows with vorticity. ESAIM: Control, Optimisation and Calculus of Variations, 2016, 22, pp.1325-1352. ⟨10.1051/cocv/2016040⟩. ⟨hal-01549589⟩
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