Title :
Nonlinear boundary control of non-burning plasma kinetic profiles in cylindrical geometry
Author :
Schuster, Eugenio
Author_Institution :
Dept. of Mech. & Aerosp. Eng., California Univ., San Diego, La Jolla, CA, USA
Abstract :
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-β 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 nonburning 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.
Keywords :
feedback; fusion reactors; nonlinear differential equations; partial differential equations; stability; MHD instability avoidance; burn control; confinement time improvement; cylindrical geometry; energy profiles; fusion energy generation; fusion reactor research; high-confinement operating modes; nonburning plasma kinetic profiles; nonlinear boundary control; nonlinear partial differential equations; numerical simulations; Backstepping; Fusion power generation; Fusion reactors; Geometry; Kinetic theory; Magnetohydrodynamics; Partial differential equations; Plasma confinement; Plasma density; Plasma transport processes;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184312