Nonlinear Boundary Control of Non-Burning Plasma Kinetic Profiles in Cylindrical Geometry
E. Schuster and M. Krstic
41st IEEE Conference on Decision and Control
Las Vegas, NV, USA, December 2002
Abstract
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The control of kinetic profiles is among the most important problems
in fusion reactor research. It is strongly related to a great number
of other problems in fusion energy generation such as burn control,
transport reduction, confinement time improvement, MHD instability
avoidance and high-beta or high-confinement operating modes access. We
consider in this work a set of nonlinear partial differential
equations (PDE's) describing approximately the dynamics of the density
and energy profiles in a non-burning plasma. Applying a backstepping
design we control the kinetic profiles by means of thermal and density
actuation at the boundary. Numerical simulations show that the
feedback control law designed using only one step of backstepping can
successfully control the kinetic profiles.