Title :
Backstepping Boundary Stabilization of Linearized 2D Hartman Flow
Author :
Xu, Chao ; Schuster, Eugenio ; Vazquez, Rafael ; Krstic, Miroslav
Author_Institution :
Lehigh Univ., Bethlehem
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;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4283007
