Search Results for author: Manuel Schaller

Found 9 papers, 0 papers with code

SafEDMD: A certified learning architecture tailored to data-driven control of nonlinear dynamical systems

no code implementations5 Feb 2024 Robin Strässer, Manuel Schaller, Karl Worthmann, Julian Berberich, Frank Allgöwer

The Koopman operator serves as the theoretical backbone for machine learning of dynamical control systems, where the operator is heuristically approximated by extended dynamic mode decomposition (EDMD).

Koopman-based feedback design with stability guarantees

no code implementations3 Dec 2023 Robin Strässer, Manuel Schaller, Karl Worthmann, Julian Berberich, Frank Allgöwer

We present a method to design a state-feedback controller ensuring exponential stability for nonlinear systems using only measurement data.

Scheduling

Partial observations, coarse graining and equivariance in Koopman operator theory for large-scale dynamical systems

no code implementations28 Jul 2023 Sebastian Peitz, Hans Harder, Feliks Nüske, Friedrich Philipp, Manuel Schaller, Karl Worthmann

The Koopman operator has become an essential tool for data-driven analysis, prediction and control of complex systems, the main reason being the enormous potential of identifying linear function space representations of nonlinear dynamics from measurements.

Energy-optimal control of adaptive structures

no code implementations23 Jun 2023 Manuel Schaller, Amelie Zeller, Michael Böhm, Oliver Sawodny, Cristina Tarín, Karl Worthmann

Adaptive structures are equipped with sensors and actuators to actively counteract external loads such as wind.

Structured Optimization-Based Model Order Reduction for Parametric Systems

no code implementations12 Sep 2022 Paul Schwerdtner, Manuel Schaller

We develop an optimization-based algorithm for parametric model order reduction (PMOR) of linear time-invariant dynamical systems.

Parameter estimation and model reduction for retinal laser treatment

no code implementations25 Feb 2022 Manuel Schaller, Mitsuru Wilson, Viktoria Kleyman, Mario Mordmüller, Ralf Brinkmann, Matthias A. Müller, Karl Worthmann

Laser photocoagulation is one of the most frequently used treatment approaches for retinal diseases such as diabetic retinopathy and macular edema.

Model Predictive Control

State and parameter estimation for model-based retinal laser treatment

no code implementations4 Mar 2021 Viktoria Kleyman, Manuel Schaller, Mitsuru Wilson, Mario Mordmüller, Ralf Brinkmann, Karl Worthmann, Matthias A. Müller

We find that, regarding convergence speed, the moving horizon estimation slightly outperforms the extended Kalman filter on measurement data in terms of parameter and state estimation, however, on simulated data the results are very similar.

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