Control and verification of the safety-factor profile in tokamaks using Sum-of-Squares polynomials

Aditya Gahlawat (1) , Matthew Peet (2) , Emmanuel Witrant (1)

1 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse
2 Department of Mechanical, Materials and Aerospace Engineering

In this paper, we propose a method of using the sum-of-squares methodology to synthesize controllers for plasma stabilization in Tokamak reactors. We use a partial differential model of the poloidal magnetic flux gradient and attempt to stabilize a reference safety-factor profile. Our methods utilize full-state feedback control and are based on solving a dual version of the Lyapunov operator inequality. In addition, we implement the controller in-silico using experimental conditions inferred from the Tore Supra tokamak.

Domaines: Automatique / Robotique; Physique des plasmas [physics.plasm-ph]

Aditya Gahlawat, Matthew Peet, Emmanuel Witrant. Control and verification of the safety-factor profile in tokamaks using Sum-of-Squares polynomials. IFAC WC 2011 - 18th IFAC World Congress, Aug 2011, Milan, Italy. ⟨hal-00667219⟩