H∞H∞ stabilization of the current profile in tokamak plasmas via an LMI approach
H∞H∞ stabilization of the current profile in tokamak plasmas via an LMI approach
复制标题
通过 LMI 方法稳定托卡马克等离子体中的电流分布
DOI：
10.1016/j.automatica.2013.05.011
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
R. Nouailletas
中科院分区：
文献类型：
--
作者：
O. Gaye;L. Autrique;Y. Orlov;Emmanuel Moulay;S. Bremond;R. Nouailletas
本文利用线性矩阵不等式（LMI）方法研究了托卡马克等离子体电流分布空间分布的H∞镇定问题。控制设计是基于控制等离子体电流分布演变的磁通量的一维电阻扩散方程。在不进行空间离散化的情况下，导出了无限维情况下的反馈控制律。所提出的分布式控制基于比例积分状态反馈，同时考虑了内部和边界工程致动器。给出了相应的数值模拟，并讨论了控制器参数的整定，以衰减不确定干扰。
This paper deals with the H∞ stabilization of the spatial distribution of the current profile of tokamak plasmas using a Linear Matrix Inequality (LMI) approach. The control design is based on the one dimensional resistive diffusion equation of the magnetic flux that governs the plasma current profile evolution. The feedback control law is derived in the infinite dimensional setting without spatial discretization. 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.