45 citations · 144 across the 50 of their papers we have counts for
7 papers · 1 filter
Structured Optimization-Based Model Order Reduction for Parametric Systems
Paul Schwerdtner, Manuel Schaller
We develop an optimization-based algorithm for parametric model order reduction (PMOR) of linear time-invariant dynamical systems. Our method aims at minimizing the $\mathcal{H}_\i…
Model predictive control for retinal laser treatment at 1 kHz
Manuel Schaller, Viktoria Kleyman, Mario Mordmüller +5
Laser photocoagulation is a technique applied in the treatment of retinal diseases. While this is often done manually or using simple control schemes, we pursue an optimization-bas…
State and parameter estimation for retinal laser treatment
Viktoria Kleyman, Manuel Schaller, Mario Mordmuller +4
Adequate therapeutic retinal laser irradiation needs to be adapted to the local absorption. This leads to time-consuming treatments as the laser power needs to be successively adju…
Parameter estimation and model reduction for retinal laser treatment
Manuel Schaller, Mitsuru Wilson, Viktoria Kleyman +4
Laser photocoagulation is one of the most frequently used treatment approaches for retinal diseases such as diabetic retinopathy and macular edema. The use of model-based control,…
Optimal control of thermodynamic port-Hamiltonian Systems
Bernhard Maschke, Friedrich Philipp, Manuel Schaller +2
We consider the problem of minimizing the entropy, energy, or exergy production for state transitions of irreversible port-Hamiltonian systems subject to control constraints. Via a…
Strict dissipativity for generalized linear-quadratic problems in infinite dimensions
Lars Grüne, Friedrich Philipp, Manuel Schaller
We analyze strict dissipativity of generalized linear quadratic optimal control problems on Hilbert spaces. Here, the term ``generalized'' refers to cost functions containing both…
Towards reliable data-based optimal and predictive control using extended DMD
Manuel Schaller, Karl Worthmann, Friedrich Philipp +2
While Koopman-based techniques like extended Dynamic Mode Decomposition are nowadays ubiquitous in the data-driven approximation of dynamical systems, quantitative error estimates…