• DocumentCode
    3174094
  • Title

    Backstepping Boundary Stabilization of Linearized 2D Hartman Flow

  • Author

    Xu, Chao ; Schuster, Eugenio ; Vazquez, Rafael ; Krstic, Miroslav

  • Author_Institution
    Lehigh Univ., Bethlehem
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    2196
  • Lastpage
    2201
  • Abstract
    We present a boundary control law that stabilizes the Hartman profile for low magnetic Reynolds numbers in an infinite magnetohydrodynamic (MHD) channel flow. The proposed control law achieves stability in the L2 norm of the linearized MHD equations, guaranteeing local stability for the fully nonlinear system.
  • Keywords
    channel flow; flow control; magnetic fluids; magnetohydrodynamics; MHD; backstepping boundary stabilization; boundary control law; linearized 2D Hartman flow; local stability; magnetic Reynolds numbers; magnetohydrodynamic channel flow; nonlinear system; Backstepping; Control systems; Feedback; Fluid flow control; Magnetic fields; Magnetic liquids; Magnetohydrodynamic power generation; Maxwell equations; Navier-Stokes equations; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4283007
  • Filename
    4283007