Abstract

In this contribution, we provide a simulation and control approach for a two-dimensional heat conduction problem. In particular, we spatially approximate the two-dimensional heat conduction problem with anisotropic thermal conductivity and transfer it via eigenvalue computation to a sampled-time state space model. Furthermore, we design a static feed-forward filter to reach a reference temperature and a full state feedback with linear-quadratic regulation to guarantee a stable closed-loop behavior. Finally, we demonstrate the performance of our closed-loop heat conduction system.