Infinite Dimensional Control and Input-to-State Stability of the Safety Factor Profile in a Tokamak Plasma
type: Dataset
description: In this thesis, we are interested in the control of the safety factor profile or q-profile in a tokamak plasma. This physical quantity has been found to be related to several phenomena in the plasma, in particular magnetohydrodynamic (MHD) instabilities. Having an adequate safety factor profile is particularly important to achieve advanced tokamak operation, providing high confinement and MHD stability. To achieve this, we focus in controlling the gradient of the poloidal magnetic flux profile. The evolution of this variable is given by a diffusion equation with distributed time-varying coefficients. Based on Lyapunov techniques and the Input-to-State stability properties of the system we propose a robust control law that takes into account nonlinear constraints on the control action imposed by the physical actuators.
identifier: NNT: 2012GRENT023
issued: 2026-05-07T17:57:40.322003
language: fr
modified: 2026-05-07T17:57:40.322007
contact point: Organization
  fn: CCSD
keyword: discretisation
keyword: discretization
keyword: distributed-parameter-systems
keyword: fusion-nucleaire
keyword: infoeu-reposemanticsdoctoralthesis
keyword: linear-parameter-varying-models
keyword: modeles-lineaires-a-parametres-variants
keyword: non-linear-systems
keyword: nuclear-fusion
keyword: simulation
keyword: spiotherengineering-sciences-physicsother
keyword: systemes-a-parametres-distribues
keyword: systemes-non-lineaires
keyword: theses
landing page: https://theses.hal.science/tel-00920942

Infinite Dimensional Control and Input-to-State Stability of the Safety Factor Profile in a Tokamak Plasma
type: Distribution
format: HTML
issued: 2026-05-07T17:57:40.328799
modified: 2026-05-07T17:57:40.305785
access URL: https://theses.hal.science/tel-00920942

test_moissonnage_selune
type: Agent