Nonlinear PDE-Based control of the electron temperature in H-mode tokamak plasmas

H Mameche (1) , Emmanuel Witrant (2) , Christophe Prieur (3)

1 Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
2 UGA [2016-2019] - Université Grenoble Alpes [2016-2019]
3 CNRS - Centre National de la Recherche Scientifique

This paper studies the exponential stability of the electron temperature profile in H-mode tokamak plasmas. Lyapunov stability analysis is carried in an infinite-dimensional setting on the nonlinear partial differential equation describing the dynamics. The nonlinear components are handled with the sum of squares framework, in order to prove the exponential convergence of the Lyapunov function. Nominal stability of the system is first checked, then a controller is proposed to improve the convergence rate of the closed-loop system. The controller algorithm including the input constraints is then used for profile tracking on the RAPTOR simulator with different challenging scenarios.

Domaines: Equations aux dérivées partielles [math.AP]; Systèmes dynamiques [math.DS]; Physique Nucléaire Théorique [nucl-th]

H Mameche, Emmanuel Witrant, Christophe Prieur. Nonlinear PDE-Based control of the electron temperature in H-mode tokamak plasmas. IEEE Conf. on Dec. and Cont. (CDC'19), Dec 2019, Nice, France. ⟨hal-02369828⟩