Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs

Title data

Grüne, Lars ; Pirkelmann, Simon: Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs.
Bayreuth
,
2018
. - 10 p.

Official URL:

Project information

Project title:

Project's official title

Project's id

Model predictive PDE control for energy efficient building operation: economic model predictive control and time-varying systems

GR 1569/16-1

Project financing:

Deutsche Forschungsgemeinschaft

Abstract in another language

To prove approximate closed loop optimality of economic model predictive control of time varying systems, continuity assumptions for the optimal value function and the turnpike property are sufficient conditions. It can sometimes be difficult to prove these assumptions analytically for a given example. In this paper we present a numerical approach that aims to verify the assumptions by simulations for a system involving a convection-diffusion equation with boundary control. The results show that the assumptions are realistic and can be met for practical problems.

Further data

Item Type:

Preprint, postprint, working paper, discussion paper

Keywords:

Turnpike Property, Optimal Value Function, Modulus of Continuity, Model Predictive Control, Time-varying systems, Partial Differential Equations