H_\infty stabilization of the current profile in tokamak plasmas via an LMI approach
Résumé
This paper deals with the H_\infty stabilization of the spatial distribution of the current profi le of tokamak plasmas using a Linear Matrix Inequalities (LMIs) approach. The control design is based on the one dimensional resistive di ffusion equation of the magnetic flux that governs the plasma current profi le evolution. The feedback control law is derived in the in finite dimensional setting without spatial discretisation. 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.
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