Synthesis of the outer cascade for plasma magnetic control in the Globus-M tokamak by using linear matrix inequalities method

Abstract

For the multi-loop control system of the Globus-M tokamak an outer controlling cascade with a static controller operating by a state estimation was synthesized. Matrices of controller and observer were synthesized by using the method of linear matrix inequalities (LMI) with placing poles of a closed-loop system in a LMI-region. This made it possible to significantly reduce the oscillation index and transition time in comparison with the system without the outer cascade.