A Nonlinear Feedback Control System for Plasma Confinement

An analytical study of feedback stabilization of a continuum is done in the context of plasma confinement in a TOKAMAK device. Linear and nonlinear "bang-bang" feedback from discrete stations is investigated to find acceptable sensor and enforcer element geometries, compare their effectiveness, and predict the important parameters in their realization. The primary method used is an extension of the energy method.