The central problem to be investigated in this paper is plasma control in the toroidal magnetic chamber. It is well known that plasma as an object of control is a mobile non-stable dynamic system with extremely high values of physical parameters, temperature as high as millions centigrade, first of all. This fact rises very high the requirement for electromagnetic capture system control accuracy. The special attention is paid to the stabilization of the plasma to chamber walls gap in some fixed control points. Mathematical methods of stabilizing control design based on modern optimization theory are proposed. Copyright (C) 2000 IFAC.