4 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…
Solving Semi-Linear Elliptic Optimal Control Problems with -Cost via Regularization and RAS-Preconditioned Newton Methods
Gabriele Ciaramella, Michael Kartmann, Georg Müller
We present a new parallel computational framework for the efficient solution of a class of /-regularized optimal control problems governed by semi-linear elliptic partial…