H∞ stabilization of the current profile in tokamak plasmas via an LMI approach

Authors:
Oumar Gaye;Laurent Autrique;Yury Orlov;Emmanuel Moulay;Sylvain BréMond;RéMy Nouailletas
Affiliations:
-;-;-;-;-;-
Venue:
Automatica (Journal of IFAC)
Year:
2013

Citing 2
Cited 0

Brief paper: An LMI approach to H∞ boundary control of semilinear parabolic and hyperbolic systems

Automatica (Journal of IFAC)
Brief paper: Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction

Automatica (Journal of IFAC)

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Abstract

This paper deals with the H"~ stabilization of the spatial distribution of the current profile of tokamak plasmas using a Linear Matrix Inequality (LMI) approach. The control design is based on the one dimensional 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. The proposed distributed control is based on a proportional-integral state feedback taking into account both interior and boundary engineering actuators. Supporting numerical simulations are presented and tuning of the controller parameters attenuating uncertain disturbances is discussed.