8 papers · 1 filter
Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces
Michael Kartmann, Stefan Volkwein
We consider linear model reduction in both the control and state variables for unconstrained linear-quadratic optimal control problems subject to time-varying parabolic PDEs. The f…
Stabilization of Parabolic Time-Varying PDEs using Certified Reduced-Order Receding Horizon Control
Behzad Azmi, Michael Kartmann, Stefan Volkwein
We address the stabilization of linear, time-varying parabolic PDEs using finite-dimensional receding horizon controls (RHCs) derived from reduced-order models (ROMs). We first pro…
Certified Model Predictive Control for Switched Evolution Equations using Model Order Reduction
Michael Kartmann, Mattia Manucci, Benjamin Unger +1
We present a model predictive control (MPC) framework for linear switched evolution equations arising from a parabolic partial differential equation (PDE). First-order optimality c…
Reconstructing the system coefficients for coupled harmonic oscillators
Jan Bartsch, Ahmed A. Barakat, Simon Buchwald +3
Physical models often contain unknown functions and relations. In order to gain more insights into the nature of physical processes, these unknown functions have to be identified o…
Reconstruction of unknown monotone nonlinear operators in semilinear elliptic models using optimal inputs
Jan Bartsch, Simon Buchwald, Gabriele Ciaramella +1
Physical models often contain unknown functions and relations. The goal of our work is to answer the question of how one should excite or control a system under consideration in an…
POD Suboptimal Control of Evolution Problems: Theory and Applications
Stefan Banholzer, Dennis Beermann, Luca Mechelli +1
The work is organized as follows. First an introduction is given in Chapter 1. In Chapter 2 we introduce the POD method in finite and infinite-dimensional Hilbert spaces and discus…