Optimal Control of a Parabolic PDE System Arising in Plasma Transport via Diffusivity-Interior-Boundary Actuation

C. Xu, J. Dalessio and E. Schuster

IEEE Conference on Decision and Control

Cancun, Mexico, December 9-11, 2008

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 diffusivityñinteriorñ boundary actuation. We prove the existence of the optimal control solution and carry out numerical experiments using sequential quadratic programming (SQP).