Nonlinear model predictive control of a radiative heating process with movable radiators

International Journal of Robust and Nonlinear Control, vol. 32, pp. 9195–9212

Abstract

Abstract A nonlinear model predictive control concept for a heating process with dominant radiation and movable radiators is derived. Such processes can be described by a nonlinear integro‐partial differential equation with full domain coupling for the thermal subsystem and an ordinary differential equation for the mechanical subsystem. For model‐based control, a reduced‐order model based on a tailored proper orthogonal decomposition Galerkin approach is used. To enable real‐time capability, a rigorous formulation of the optimization problem is presented, which allows to split the optimization problem into two subproblems using a separation of time scales. These subproblems are subsequently simplified by employing averaging methods and appropriate analytical solutions. An extensive simulation study illustrates the high performance and fast calculation times of the proposed control concept.

Authors 5

1. Florian Rötzer

   AIT Austrian Institute of Technology GmbH

   Affiliation as printed

   Center for Vision, Automation and Control Austrian Institute of Technology Vienna Austria

2. Lorenz Dörschel Aachen Institute for Automatic Control

   RWTH Aachen University

   Affiliation as printed

   Institute for Automatic Control RWTH Aachen University Aachen Germany

3. Andreas Deutschmann

   TU Wien

   Affiliation as printed

   Automation and Control Institute TU Wien Vienna Austria

4. Dirk Abel Aachen Institute for Automatic Control

   RWTH Aachen University

   Affiliation as printed

   Institute for Automatic Control RWTH Aachen University Aachen Germany

5. Andreas Kugi

   AIT Austrian Institute of Technology GmbH · TU Wien

   Affiliation as printed

   Automation and Control Institute TU Wien Vienna Austria

   Center for Vision, Automation and Control Austrian Institute of Technology Vienna Austria