6 papers
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…
Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems
Michael Kartmann, Benedikt Klein, Mario Ohlberger +2
We consider nonlinear inverse problems arising in the context of parameter identification for parabolic partial differential equations (PDEs). For stable reconstructions, regulariz…
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…
Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems
Michael Kartmann, Tim Keil, Mario Ohlberger +2
In this contribution, we are concerned with model order reduction in the context of iterative regularization methods for the solution of inverse problems arising from parameter ide…