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.
In: IFAC-PapersOnLine. Vol. 52 (2019) Issue 2 . - pp. 7-12.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2019.08.002

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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:	Article in a journal
Refereed:	Yes
Keywords:	Turnpike Property; Optimal Value Function; Modulus of Continuity; Model Predictive Control; Time-varying systems; Partial Differential Equations
Subject classification:	Mathematics Subject Classification Code: 26B05, 49K20, 93B40, 93B52
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	27 Aug 2019 10:00
Last Modified:	27 Aug 2019 10:00
URI:	https://eref.uni-bayreuth.de/id/eprint/52033

Available Versions of this Item

Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs. (deposited 22 Dec 2018 22:00)
- Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs. (deposited 27 Aug 2019 10:00) [Currently Displayed]