M. D. Boyer, J. Barton, E. Schuster, T. C. Luce, J. R. Ferron et al., 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

M. D. Boyer, J. Barton, E. Schuster, M. L. Walker, T. C. Luce et al., 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

L. Laborde, D. Mazon, D. Moreau, A. Murari, R. Felton et al., A model-based technique for integrated real-time profile control in the JET tokamak, Plasma Physics and Controlled Fusion, vol.47, issue.1, 2005.
DOI : 10.1088/0741-3335/47/1/010

N. M. Vu, R. Nouailletas, L. Lefèvre, and F. Felici, 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

F. Bribiesca-argomedo, E. Witrant, C. Prieur, S. Brémond, R. Nouailletas et al., Lyapunov-based distributed control of the safety factor profile in a tokamak plasma, Nuclear Fusion, pp.53-033005, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00788215

F. Bribiesca-argomedo, C. Prieur, E. Witrant, and S. Brémond, 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

O. Gaye, E. Moulay, S. Brémond, L. Autrique, R. Nouailletas et al., Robust stabilization of the current profile in tokamak plasmas using sliding mode approach in infinite dimension, Control Engineering Practice, vol.21, issue.10, pp.1350-1358, 2013.
DOI : 10.1016/j.conengprac.2013.05.003
URL : https://hal.archives-ouvertes.fr/hal-00845383

O. Gaye, L. Autrique, Y. Orlov, E. Moulay, S. Brémond et al., 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

S. Mechhoud, E. Witrant, L. Dugard, and D. Moreau, 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

E. Witrant and S. Brémond, Shape identification for distributed parameter systems and temperature profiles in tokamaks, IEEE Conference on Decision and Control and European Control Conference, pp.2626-2631, 2011.
DOI : 10.1109/CDC.2011.6160523
URL : https://hal.archives-ouvertes.fr/hal-00667227

D. Moreau, D. Mazon, M. Ariola, G. De-tommasi, L. Laborde et al., A twotime-scale dynamic-model approach for magnetic and kinetic profile control in advanced tokamak scenarios on JET, Nuclear Fusion, issue.10, p.48, 2008.

D. Moreau, D. Mazon, M. Walker, J. Ferron, K. Burrell et al., 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

M. D. Barton, K. H. Boyer, S. Burrell, P. Flanagan, and . Gohil, 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.

S. Kim and J. Lister, 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

J. E. Barton, W. P. Wehner, E. Schuster, F. Felici, and O. Sauter, 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

J. E. Barton, K. Besseghir, J. Lister, and E. Schuster, Physics-based control-oriented modeling and robust feedback control of the plasma safety factor profile and stored energy dynamics in ITER, Plasma Physics and Controlled Fusion, vol.57, issue.11, p.115003, 2015.
DOI : 10.1088/0741-3335/57/11/115003

J. Barton, M. Boyer, W. Shi, W. Wehner, E. Schuster et al., Physics-model-based nonlinear actuator trajectory optimization and safety factor profile feedback control for advanced scenario development in DIII-D, Nuclear Fusion, vol.55, issue.9, p.93005, 2015.
DOI : 10.1088/0029-5515/55/9/093005

V. Basiuk, J. Artaud, F. Imbeaux, X. Litaudon, A. Bécoulet et al., Simulations of steady-state scenarios for Tore Supra using the CRONOS code, Nuclear Fusion, vol.43, issue.9, 2003.
DOI : 10.1088/0029-5515/43/9/305

J. Artaud, V. Basiuk, F. Imbeaux, M. Schneider, J. Garcia et al., The CRONOS suite of codes for integrated tokamak modelling, Nuclear Fusion, vol.50, issue.4, p.43001, 2010.
DOI : 10.1088/0029-5515/50/4/043001

F. Felici, O. Sauter, S. Coda, B. Duval, T. Goodman et al., Real-time physics-model-based simulation of the current density profile in tokamak plasmas, Nuclear Fusion, vol.51, issue.8, pp.51-083052, 2011.
DOI : 10.1088/0029-5515/51/8/083052

F. Felici and O. Sauter, Non-linear model-based optimization of actuator trajectories for tokamak plasma profile control, Plasma Physics and Controlled Fusion, vol.54, issue.2, pp.2012-025002
DOI : 10.1088/0741-3335/54/2/025002

G. Pereverzev and P. Yushmanov, ASTRA automated system for transport analysis in a tokamak report ipp 5, 2002.

P. Geelen, F. Felici, A. Merle, and O. Sauter, 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

T. Katayama, Subspace methods for system identification, 2006.
DOI : 10.1007/1-84628-158-X

L. Ljung, System identification, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00854858

M. Verhaegen and P. Dewilde, Subspace model identification Part 1. The output-error state-space model identification class of algorithms, International Journal of Control, vol.56, issue.5, pp.1187-1210, 1992.
DOI : 10.1109/TAC.1974.1100525

D. and D. Ruscio, Subspace system identification: Theory and applications

B. Haverkamp and T. Delft, Subspace method identification, theory and practice, 2000.

M. Verhaegen and V. Verdult, Filtering and system identification: a least squares approach, 2007.
DOI : 10.1017/CBO9780511618888

W. Suleiman and A. Monin, Linear multivariable system identification: multi-experiments case, Conference on Systems and Control, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00155852

J. Blum, Numerical Simulation and Optimal Control in Plasma Physics: With Applications to Tokamaks, Gauthier- Villars Series in Modern Applied Mathemat), 1989.

E. Witrant, E. Joffrin, S. Brémond, G. Giruzzi, D. Mazon et al., 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

F. Hinton and R. Hazeltine, Theory of plasma transport in toroidal confinement systems, Reviews of Modern Physics, vol.48, issue.2, 1976.
DOI : 10.1103/RevModPhys.48.239

J. Shen, Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries, SIAM Journal on Scientific Computing, vol.18, issue.6, pp.1583-1604, 1997.
DOI : 10.1137/S1064827595295301
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.111.4942

D. Bauer, On data preprocessing for subspace methods, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), pp.2403-2408, 2000.
DOI : 10.1109/CDC.2000.914159

L. Duchesne, E. Feron, J. D. Paduano, and M. Brenner, Subspace identification with multiple data sets, Guidance, Navigation, and Control Conference, 1996.
DOI : 10.2514/6.1996-3716

J. Ramos, Hermitian operator methods for reaction-diffusion equations, Numerical Methods for Partial Differential Equations, vol.29, issue.4, pp.241-287, 1987.
DOI : 10.1002/num.1690030402

D. N. Miller and R. A. De-callafon, Subspace identification with eigenvalue constraints, Automatica, vol.49, issue.8, pp.2468-2473, 2013.
DOI : 10.1016/j.automatica.2013.04.028

M. Chilali and P. Gahinet, H/sub ???/ design with pole placement constraints: an LMI approach, IEEE Transactions on Automatic Control, vol.41, issue.3, pp.358-367, 1996.
DOI : 10.1109/9.486637

J. Löfberg, 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. Leith, D. Murray-smith, and R. Bradley, Combination of data sets for system identification, IEE Proceedings D-Control Theory and Applications, pp.11-18, 1993.
DOI : 10.1049/ip-d.1993.0002

J. E. Barton, K. Besseghir, J. Lister, and E. Schuster, Robust control of the safety factor profile and stored energy evolutions in high performance burning plasma scenarios in the ITER tokamak, 52nd IEEE Conference on Decision and Control, pp.4194-4199, 2013.
DOI : 10.1109/CDC.2013.6760533