Backstepping Boundary Stabilization of Linearized 2D Hartman Flow

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

American Control Conference

New York, New York, July 11-13, 2007

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.