476 citations
- New York UniversityUS42 papers
- Courant Institute of Mathematical SciencesUS13 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Fraunhofer Institute for Integrated CircuitsDE12 papers
- University of KonstanzDE12 papers
- University of StuttgartDE12 papers
- Technische Universität BerlinDE10 papers
- Universität HamburgDE10 papers
- Humboldt-Universität zu BerlinDE9 papers
- Occidental CollegeUS9 papers
- Chemnitz University of TechnologyDE8 papers
- Freie Universität BerlinDE8 papers
19 papers · 1 filter
Excitation of control-affine systems and Koopman error bounds
Philipp Schmitz, Lea Bold, Friedrich M. Philipp +4
The Koopman operator and extended dynamic mode decomposition (EDMD) as a data-driven technique for its approximation have attracted considerable attention as a key tool for modelin…
An overview of Koopman-based control: From error bounds to closed-loop guarantees
Robin Strässer, Karl Worthmann, Igor Mezić +3
Controlling nonlinear dynamical systems remains a central challenge in a wide range of applications, particularly when accurate first-principle models are unavailable. Data-driven…
High-gain model-following control for trajectory tracking
Nicals Tietze, Kai Wulff, Johann Reger
We consider trajectory tracking for minimum-phase nonlinear systems in Byrnes-Isidori form using the model-following control (MFC) architecture. The tracking problem is motivated b…
Kernel-based error bounds of bilinear Koopman surrogate models for nonlinear data-driven control
Robin Strässer, Manuel Schaller, Julian Berberich +2
We derive novel deterministic bounds on the approximation error of data-based bilinear surrogate models for unknown nonlinear systems. The surrogate models are constructed using ke…
Trajectory tracking model-following control using Lyapunov redesign with output time-derivatives to compensate unmatched uncertainties
Niclas Tietze, Kai Wulff, Johann Reger
We study trajectory tracking for flat nonlinear systems with unmatched uncertainties using the model-following control (MFC) architecture. We apply state feedback linearisation con…
Set-point control and local stability for flat nonlinear systems using model-following control
Julian Willkomm, Kai Wulff, Johann Reger
We consider the set-point control problem for nonlinear systems with flat output that are subject to perturbations. The nonlinear dynamics as well as the perturbations are locally…