Robust stabilization of the current profile in tokamak plasmas using sliding mode approach in infinite dimension

Oumar Gaye (1) , Emmanuel Moulay (2) , Sylvain Brémond (3) , Laurent Autrique (1) , R. Nouailletas (4) , Jean-Francois Artaud (4) , Y. Orlov (5)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés
2 XLIM-SIC - SIC
3 IRFM - Institut de Recherche sur la Fusion par confinement Magnétique
4 CEA/DSM/DRFC - Association EURATOM-CEA
5 CICESE - Centro de Investigacion Cientifica y de Education Superior de Ensenada [Mexico]

This paper deals with the robust stabilization of the spatial distribution of tokamak plasmas current profile using a sliding mode feedback control approach. The control design is based on the 1D resistive diffusion equation of the magnetic flux that governs the plasma current profile evolution. The feedback control law is derived in the infinite dimensional setting without spatial discretization. Numerical simulations are provided and the tuning of the controller parameters that would reject uncertain perturbations is discussed. Closed loop simulations performed on realistic test cases using aphysics based tokamak integrated simulator confirm the relevance of the proposed control algorithm in view of practical implementation.

Mots clés: Tokamak plasmas control; Parabolic partial differential equations; Lyapunov stabilization; Sliding mode control; Robust control

Domaines: Sciences de l'ingénieur [physics]

Oumar Gaye, Emmanuel Moulay, Sylvain Brémond, Laurent Autrique, R. Nouailletas, et al.. Robust stabilization of the current profile in tokamak plasmas using sliding mode approach in infinite dimension. Control Engineering Practice, 2013, 21 (10), pp.1350-1358. ⟨10.1016/j.conengprac.2013.05.003⟩. ⟨hal-00845383⟩