Simultaneous control of the current profile and normalized plasma beta is an essential control problem in the development of advanced tokamak scenarios. However, this control problem is especially challenging due to the nonlinear nature of the current, heat, and particle transport dynamics, as well as the difficulty to understand and accurately model such processes. In this work, a nonlinear, robust, model-based controller for the simultaneous regulation of the current profile and normalized beta has been designed using feedback linearization and Lyapunov redesign techniques. Feedback linearization avoids approximate linearization of the plasma dynamics, retaining the original physics content of the model. Moreover, the use of Lyapunov redesign techniques makes the controller robust against the uncertainties arising during the modeling process. The controller’s performance in the presence of unknown dynamics is tested in nonlinear, one-dimensional simulations using the Control Oriented Transport SIMulator (COTSIM) code, which employs plasma models that are significantly more complex than those employed for control synthesis.

在先进的托卡马克方案的发展中，同时控制电流曲线和标准化血浆β是必不可少的控制问题。但是，由于电流，热量和粒子传输动力学的非线性性质，以及难以理解和准确地对此类过程进行建模，因此此控制问题尤其具有挑战性。在这项工作中，已经使用反馈线性化和Lyapunov重新设计技术设计了用于同时调节电流曲线和归一化beta的非线性，鲁棒，基于模型的控制器。反馈线性化避免了等离子体动力学的近似线性化，从而保留了模型的原始物理内容。此外，使用Lyapunov重新设计技术可使控制器对建模过程中出现的不确定性具有鲁棒性。