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Normal feedback stabilization for linearized periodic MHD channel flow, at low magnetic Reynolds number

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Ionut Munteanu

Editorial: Elsevier, Systems & Control Letters, 62, p.55-62, 2013.


We study 2D (and 3D) incompressible magnetohydrodynamic (MHD) channel flow, also known as
Hartmann’s flow, which is electrically conducting and subject to an external transverse magnetic
field. We consider periodic boundary conditions along one axis (two axes, for the three-dimensional
case). We consider the flow at low magnetic Reynolds number and obtain the so-called simplified
magnetohydrodynamic (SMHD) equations. We stabilize the linearized SMHD system by using a boundary
finite-dimensional feedback controller with vertical velocity observation which acts only on the normal
component of the velocity field. The stability is achieved without any a priori condition on the viscosity
coefficient, that is, on the Reynolds number

Cuvinte cheie: control fluxuri MHD, control feedback normal, ecuatii Riccati // MHD flow control, Riccati equation, Normal feedback controller

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