Eugenio Schuster

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.

Research Funding

Prof. Schuster's research work has been supported by the National Science Foundation (NSF) through the CAREER Award Program and the Basic Plasma Science Program, the U.S. Department of Energy (DOE), the Commonwealth of Pennsylvania, Department of Community and Economic Development, through the Pennsylvania Infrastructure Technology Alliance (PITA), the New York State Energy Research and Development Authority (NYSERDA), national laboratories and private companies.