A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation

Titelangaben

Altmüller, Nils ; Grüne, Lars:
A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation.
In: IFAC Proceedings Volumes. Bd. 46 (2013) Heft 26 . - S. 161-166.
ISSN 1474-6670
DOI: https://doi.org/10.3182/20130925-3-FR-4043.00048

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Abstract

We continue our study (started in Altmüller and Grüne "Distributed and boundary model predictive control for the heat equation" 2012) on stability properties of model predictive control without terminal constraints applied to the heat equation. Here, we focus on boundary control and in particular on the differences between Neumann and Dirichlet boundary conditions. We first illustrate the differences by means of numerical simulations and then explain our findings by a theoretical analysis.