Control of the tokamak safety factor profile with time-varying constraints using MPC

E Maljaars, F Felici, MR De Baar, J Van Dongen… - Nuclear …, 2015 - iopscience.iop.org
A controller is designed for the tokamak safety factor profile that takes real-time-varying
operational and physics limits into account. This so-called model predictive controller (MPC) …

Advanced H

YV Orlov, LT Aguilar - Towards Nonsmooth Theory and Applications, New …, 2014 - Springer
The E1-disturbance-attenuation approach to robust control has been an active research
area since the 80th of the last century. If confined to linear systems, this approach is fully …

Experimental validation of a Lyapunov-based controller for the plasma safety factor and plasma pressure in the TCV tokamak

B Mavkov, E Witrant, C Prieur, E Maljaars… - Nuclear …, 2018 - iopscience.iop.org
In this paper, model-based closed-loop algorithms are derived for distributed control of the
inverse of the safety factor profile and the plasma pressure parameter β of the TCV tokamak …

A Partial Integral Equation (PIE) representation of coupled linear PDEs and scalable stability analysis using LMIs

MM Peet - Automatica, 2021 - Elsevier
We present a new Partial Integral Equation (PIE) representation of Partial Differential
Equations (PDEs) in which it is possible to use convex optimization to perform stability …

Observer-based boundary control of the sine–Gordon model energy

M Dolgopolik, AL Fradkov, B Andrievsky - Automatica, 2020 - Elsevier
The problem of observer-based boundary control of the sine–Gordon model energy is first
posed. A Luenberger-type observer for the sine–Gordon equation is analysed, and explicit …

Distributed control of coupled inhomogeneous diffusion in tokamak plasmas

B Mavkov, E Witrant, C Prieur - IEEE Transactions on Control …, 2017 - ieeexplore.ieee.org
This article proposes novel distributed control methods for the coupled dynamics of the
safety factor and electron temperature profiles in tokamaks. The feedback design is based …

A new state-space representation for coupled PDEs and scalable Lyapunov stability analysis in the SOS framework

MM Peet - 2018 IEEE Conference on Decision and Control …, 2018 - ieeexplore.ieee.org
We present a framework for stability analysis of systems of coupled linear Partial-Differential
Equations (PDEs). The class of PDE systems considered in this paper includes parabolic …

Robust stabilization of the current profile in tokamak plasmas using sliding mode approach in infinite dimension

O Gaye, E Moulay, S Brémond, L Autrique… - Control engineering …, 2013 - Elsevier
This paper deals with the robust stabilization of the spatial distribution of tokamak plasmas
current profile using a sliding mode feedback control approach. The control design is based …

Multi-experiment state-space identification of coupled magnetic and kinetic parameters in tokamak plasmas

B Mavkov, E Witrant, C Prieur, D Moreau - Control Engineering Practice, 2017 - Elsevier
This paper describes an identification technique for control-oriented linear time-invariant
models of the coupled dynamics of the electron temperature and the poloidal magnetic flux …

Discussion paper: A new mathematical framework for representation and analysis of coupled PDEs

MM Peet, S Shivakumar, A Das, S Weiland - IFAC-PapersOnLine, 2019 - Elsevier
We present a computational framework for stability analysis of systems of coupled linear
Partial-Differential Equations (PDEs). The class of PDE systems considered in this paper …