Title :
Boundary Feedback Stabilization of Periodic Fluid Flows in a Magnetohydrodynamic Channel
Author_Institution :
Octav Mayer Inst. of Math., Iaşi, Romania
Abstract :
In this technical note, an electrically conducting 2-D channel fluid flow, in the presence of a transverse magnetic field, is investigated. The governing equations are the magnetohydrodynamics equations, which are a coupling between the Navier-Stokes and Maxwell equations. The stability of the Hartmann-Poiseuille profile is achieved by finite-dimensional feedback controllers acting on both normal components of the velocity field and of the magnetic field, on the upper wall only.
Keywords :
Maxwell equations; Navier-Stokes equations; channel flow; feedback; flow control; magnetic fields; magnetohydrodynamics; mechanical stability; Hartmann-Poiseuille profile stability; Maxwell equations; Navier-Stokes equations; boundary feedback stabilization; electrically conducting 2D channel fluid flow; finite-dimensional feedback controllers; governing equations; magnetohydrodynamic channel; magnetohydrodynamics equations; periodic fluid flows; transverse magnetic field; velocity field; Adaptive control; Eigenvalues and eigenfunctions; Equations; Fourier series; Gold; Magnetohydrodynamics; Mathematical model; Control design; magnetohydrodynamics; stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2244312
