Diffusion and robustness of boundary feedback stabilization of hyperbolic systems

G Bastin, JM Coron, A Hayat - Mathematics of Control, Signals, and …, 2023 - Springer
We consider the problem of boundary feedback control of single-input-single-output one-
dimensional linear hyperbolic systems when sensing and actuation are anti-located. The …

Energy-conserving discretization of the one-dimensional shallow water equations in material-fixed coordinates

L Mayer, J Wurm, F Woittennek - 2024 European Control …, 2024 - ieeexplore.ieee.org
A generalized approach to the spatial discretization of the one-dimensional shallow water
equations with moving boundary and an arbitrary cross-section is developed. Material-fixed …

The usefulness of viscosity for the robustness of boundary feedback control of an unstable fluid flow system

G Bastin, JM Coron, A Hayat - Automatica, 2025 - Elsevier
The potential lack of robustness to delays and characteristic velocities is a well known
feature of boundary feedback control of hyperbolic systems. We consider the case of a one …

A case study of port-Hamiltonian systems with a moving interface

A Kilian, B Maschke, A Mironchenko… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
We model two systems of two conservation laws defined on complementary spatial intervals
and coupled by a moving interface as a single non-autonomous port-Hamiltonian system …

Flatness-based heavy rope control: experimental results with a 6r industrial manipulator

A Angerer, F Woittennek - IFAC-PapersOnLine, 2022 - Elsevier
Flatness-based control schemes for a heavy rope with freely movable suspension point are
compared in simulation and experiment. These schemes are based on a nonlinear …

Energy-based Modeling and Simulation of Shallow Water Waves in a Tube with Moving Boundary

J Wurm, F Woittennek - IFAC-PapersOnLine, 2022 - Elsevier
Modeling and simulation of shallow water waves in a tube with moving boundary and
arbitrary cross-section are considered. Based on the a variational formulation of the well …

Open‐Loop Control of Shallow Water Waves in a Tube With Moving Boundary in Material‐Fixed Coordinates

L Mayer, F Woittennek - PAMM, 2025 - Wiley Online Library
Open‐loop control design for a one‐dimensional shallow water model with moving
boundary and arbitrary cross section is considered. Despite the moving boundary, the …

Flatness-based analysis and control design for 2× 2 hyperbolic PDEs with nonlinear boundary dynamics

F Woittennek, A Irscheid, N Gehring - IFAC-PapersOnLine, 2022 - Elsevier
Distributed-parameter systems represented by linear one-dimensional 2× 2 hyperbolic
PDEs with nonlinear finite-dimensional differentially flat dynamics at one boundary and …

Control‐oriented models of the shallow water equations using energy‐conserving discretization schemes

L Mayer, J Wurm, F Woittennek - PAMM, 2023 - Wiley Online Library
In this study, we introduce higher‐order approximation schemes for a 1D shallow‐water
model with a moving boundary and arbitrary cross‐section. The model equations are …

Flachheitsbasierte Trajektorienfolgeregelung von Flachwasserwellen in einer Röhre mit bewegtem Kolben

J Wurm, F Woittennek - at-Automatisierungstechnik, 2021 - degruyter.com
Zusammenfassung Der Beitrag behandelt die Folgeregelung von Flachwasserwellen in
einer partiell gefüllten Röhre, in der der Flüssigkeitspegel durch einen beweglichen Kolben …