Xu Chao; Ou Yongsheng; Schuster Eugenio
AUTOMATICA Volume 47, Issue 2, February 2011, Pages 418–426
The current density profile dynamics can be modeled by a parabolic partial differential equation (PDE) which could be controlled via the boundary and interior actuators. By using the proper orthogonal decomposition (POD) method and Galerkin method, we can obtain a low dimensional bilinear system capturing the dominant dynamics. The optimal control is governed by a two boundary value problem and we propose a novel numerical method, the sequential linear quadratic controller synthesis to obtain numerical solutions, and give a detailed theoretical convergence analysis.
