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

N. Altmüller, L. Grüne: A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation
in: Proceedings of the 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations - CPDE 2013, 2013, 161 - 166, Paper #48

Smart-Link: http://www.cpde2013.fr
Keywords: model predictive control, heat equation, boundary control, stability
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Abstract:

We continue our study (started in Altmüller and Grüne 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.

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