15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
NONLINEAR BACKSTEPPING CONTROL FOR THE FUEL DIFFUSION LAG IN FUSION REACTORS
Eugenio Schuster* Miroslav Krstić* George Tynan*
* Department of Mechanical and Aerospace Engineering
University of California at San Diego
La Jolla, CA 92093-0411
fax: (858) 822-3107
schuster@mae.ucsd.edu
(858) 822-1936
krstic@ucsd.edu
(858) 822-1374
gtynan@ucsd.edu
(858) 534-9724

Control of plasma density and temperature magnitudes, as well as their profiles, are among the most fundamental problems in fusion reactors. Existing efforts use control techniques based on linearized models. In this work, a zero-dimensional nonlinear model involving approximate conservation equations for the energy and the densities of the species was used to synthesize a nonlinear feedback controller for stabilizing the burn condition of a fusion reactor. The model addresses the issue of the lag due to the finite time for the fresh fuel to diffuse into the plasma center. Nonlinear backstepping is used to deal with this imposed lag. In this way we make our control system independent of the fueling system and the reactor can be fed either by pellet injection or by gas puffing.
Keywords: Nuclear reactors, nonlinear control, Lyapunov stability
Session slot T-Th-E08: Nonlinear control applications/Area code 2c : Non-linear Systems