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Current profile and normalized beta control via feedback linearization and Lyapunov techniques

Journal Article · · Nuclear Fusion
Abstract

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.

Research Organization:
Lehigh Univ., Bethlehem, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0010661
OSTI ID:
1851414
Journal Information:
Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 3 Vol. 61; ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English

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