Stabilization of Linearized 2D Magnetohydrodynamic Channel Flow by Backstepping Boundary Control

C. Xu, E. Schuster, R. Vazquez and M. Krstic

Systems & Control Letters 57 (2008) 805-812

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.