Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO$_m̊ 2$ Methanation

Jan 1, 2021·
Jens Bremer
Jan Heiland
Peter Benner
Kai Sundmacher
· 0 min read
The optimization of a controlled process in a simulation without access to the model itself is a common scenario and very relevant to many chemical engineering applications. A general approach is to apply a black-box optimization algorithm to a parameterized control scheme. The success then depends on the quality of the parametrization that should be low-dimensional though rich enough to express the salient features. This work proposes using solution snapshots to extract dominant modes of the temporal dynamics of a process and use them for low-dimensional parametrizations of control functions. The approach is called proper orthogonal decomposition in time (time-POD). We provide theoretical reasoning and illustrate the performance for the optimal control of a methanation reactor.