Tokamaks, 4 th ed., ser. International Series of Monographs on Physics, 2011. ,
Fusion, tokamaks, and plasma control: an introduction and tutorial, IEEE Control Systems Magazine, vol.25, issue.5, pp.30-43, 2005. ,
DOI : 10.1109/MCS.2005.1512794
A two-time-scale dynamic-model approach for magnetic and kinetic profile control in advanced tokamak scenarios on JET, Nuclear Fusion, vol.48, issue.10, p.106001, 2008. ,
DOI : 10.1088/0029-5515/48/10/106001
Integrated magnetic and kinetic control of advanced tokamak plasmas on DIII-D based on data-driven models, Nuclear Fusion, vol.53, issue.6, p.63020, 2013. ,
DOI : 10.1088/0029-5515/53/6/063020
Plasma models for real-time control of advanced tokamak scenarios, Nuclear Fusion, vol.51, issue.6, p.63009, 2011. ,
DOI : 10.1088/0029-5515/51/6/063009
Multi-experiment state-space identification of coupled magnetic and kinetic parameters in tokamak plasmas, Control Engineering Practice, vol.60, pp.28-38, 2017. ,
DOI : 10.1016/j.conengprac.2016.12.006
URL : https://hal.archives-ouvertes.fr/hal-01448484
Numerical simulation and optimal control in plasma physics with applications to Tokamaks, ser. Modern Applied Mathematics, 1989. ,
A control-oriented model of the current profile in tokamak plasma, Plasma Physics and Controlled Fusion, vol.49, issue.7, p.1075, 2007. ,
DOI : 10.1088/0741-3335/49/7/009
URL : https://hal.archives-ouvertes.fr/hal-00387534
Real-time physics-model-based simulation of the current density profile in tokamak plasmas, Nuclear Fusion, vol.51, issue.8, p.83052, 2011. ,
DOI : 10.1088/0029-5515/51/8/083052
Simultaneous closed-loop control of the current profile and the electron temperature profile in the TCV tokamak, 2015 American Control Conference (ACC), pp.3316-3321, 2015. ,
DOI : 10.1109/ACC.2015.7171844
Estimation of the thermal diffusion coefficient in fusion plasmas taking frequency measurement uncertainties into account, Plasma Physics and Controlled Fusion, vol.56, issue.10, p.105004, 2014. ,
DOI : 10.1088/0741-3335/56/10/105004
Estimation of Heat Source Term and Thermal Diffusion in Tokamak Plasmas Using a Kalman Filtering Method in the Early Lumping Approach, IEEE Transactions on Control Systems Technology, vol.23, issue.2, pp.449-463, 2015. ,
DOI : 10.1109/TCST.2014.2342760
URL : https://hal.archives-ouvertes.fr/hal-01222853
Simple predictive electron transport models applied to sawtoothing plasmas, Plasma Physics and Controlled Fusion, vol.58, issue.5, p.55002, 2016. ,
DOI : 10.1088/0741-3335/58/5/055002
A model-based technique for integrated real-time profile control in the JET tokamak, Plasma Physics and Controlled Fusion, vol.47, issue.1, p.155, 2005. ,
DOI : 10.1088/0741-3335/47/1/010
First-principles-driven model-based current profile control for the DIII-D tokamak via LQI optimal control, Plasma Physics and Controlled Fusion, vol.55, issue.10, p.105007, 2013. ,
DOI : 10.1088/0741-3335/55/10/105007
Backstepping Control of the Toroidal Plasma Current Profile in the DIII-D Tokamak, IEEE Transactions on Control Systems Technology, vol.22, issue.5, pp.1725-1739, 2014. ,
DOI : 10.1109/TCST.2013.2296493
Control of the tokamak safety factor profile with time-varying constraints using MPC, Nuclear Fusion, vol.55, issue.2, p.23001, 2015. ,
DOI : 10.1088/0029-5515/55/2/023001
Plasma q-profile control in tokamaks using a damping assignment passivity-based approach, Control Engineering Practice, vol.54, pp.34-45, 2016. ,
DOI : 10.1016/j.conengprac.2016.05.003
A potentially robust plasma profile control approach for ITER using real-time estimation of linearized profile response models, Nuclear Fusion, vol.52, issue.7, p.74002, 2012. ,
DOI : 10.1088/0029-5515/52/7/074002
A Strict Control Lyapunov Function for a Diffusion Equation With Time-Varying Distributed Coefficients, IEEE Transactions on Automatic Control, vol.58, issue.2, pp.290-303, 2013. ,
DOI : 10.1109/TAC.2012.2209260
URL : https://hal.archives-ouvertes.fr/hal-00719502
Bootstrap current optimization in Tokamaks using sum-of-squares polynomials, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.4359-4365, 2012. ,
DOI : 10.1109/CDC.2012.6426638
URL : https://hal.archives-ouvertes.fr/hal-01053418
stabilization of the current profile in tokamak plasmas via an LMI approach, Automatica, vol.49, issue.9, pp.2795-2804, 2013. ,
DOI : 10.1016/j.automatica.2013.05.011
URL : https://hal.archives-ouvertes.fr/hal-00864243
Singular perturbation methods in control: analysis and design, SIAM, vol.25, 1999. ,
DOI : 10.1137/1.9781611971118
Nonlinear systems, 2002. ,
Optimal control of singularly perturbed linear systems and applications, 2001. ,
DOI : 10.1201/9780203907900
Control of turbulent and magnetohydrodynamic channel flows: boundary stabilization and state estimation, 2008. ,
Tikhonov theorem for linear hyperbolic systems, Automatica, vol.57, pp.1-10, 2015. ,
DOI : 10.1016/j.automatica.2015.03.028
URL : https://hal.archives-ouvertes.fr/hal-01064805
Non-linear model-based optimization of actuator trajectories for tokamak plasma profile control, Plasma Physics and Controlled Fusion, vol.54, issue.2, p.25002, 2012. ,
DOI : 10.1088/0741-3335/54/2/025002
Parameter estimation for a nonlinear control-oriented tokamak profile evolution model, Plasma Physics and Controlled Fusion, vol.57, issue.12, p.125008, 2015. ,
DOI : 10.1088/0741-3335/57/12/125008
Theory of plasma transport in toroidal confinement systems, Reviews of Modern Physics, vol.10, issue.2, p.239, 1976. ,
DOI : 10.1103/PhysRevLett.25.916
Lyapunov-based distributed control of the safety-factor profile in a tokamak plasma, Nuclear Fusion, vol.53, issue.3, p.33005, 2013. ,
DOI : 10.1088/0029-5515/53/3/033005
URL : https://hal.archives-ouvertes.fr/hal-00788215
Advanced calculus, 2002. ,
YALMIP : a toolbox for modeling and optimization in MATLAB, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508), pp.284-289, 2004. ,
DOI : 10.1109/CACSD.2004.1393890
D<sup>1</sup>-Input-to-state stability of a time-varying nonhomogeneous diffusive equation subject to boundary disturbances, 2012 American Control Conference (ACC), pp.2012-2978 ,
DOI : 10.1109/ACC.2012.6315060
A dynamic state observer for real-time reconstruction of the tokamak plasma profile state and disturbances, 2014 American Control Conference, pp.4816-4823 ,
DOI : 10.1109/ACC.2014.6858781
Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime, Physics of Plasmas, vol.6, issue.7, pp.2834-2839, 1999. ,
DOI : 10.1063/1.861356
Validation of a new mixed Bohm/gyro-Bohm model for electron and ion heat transport against the ITER, Tore Supra and START database discharges, Nuclear Fusion, vol.38, issue.7, p.1013, 1998. ,
DOI : 10.1088/0029-5515/38/7/305