Title :
Optimal control of a parabolic PDE system arising in plasma transport via diffusivity-interior-boundary actuation
Author :
Xu, Chao ; Dalessio, Joseph N. ; Schuster, Eugenio
Author_Institution :
Dept. of Mech. Eng. & Mech., Lehigh Univ., Bethlehem, PA, USA
Abstract :
In this paper, we study an optimal control problem arising in plasma transport which is governed by a singularly perturbed system. Time-scale separation allows us to focus on an uncoupled parabolic PDE with diffusivity-interior-boundary actuation. We prove the existence of the optimal control solution and carry out numerical experiments using quadratic programming (SQP).
Keywords :
optimal control; parabolic equations; partial differential equations; plasma transport processes; quadratic programming; singularly perturbed systems; diffusivity-interior-boundary actuation; optimal control; plasma transport; quadratic programming; singularly perturbed system; uncoupled parabolic PDE; Control systems; Heating; Magnetic flux; Optimal control; Plasma confinement; Plasma density; Plasma properties; Plasma temperature; Plasma transport processes; Temperature dependence;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739427
