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20192026
most citedKoopman-based feedback design with stability guarantees

45 citations · 147 across the 71 of their papers we have counts for

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Showing 2025 · math.OCShow all

7 papers · 2 filters

math.OC2025

A model-free approach to control barrier functions using funnel control

Lukas Lanza, Johannes Köhler, Dario Dennstädt +2

Control barrier functions (CBFs) are a popular approach to design feedback laws that achieve safety guarantees for nonlinear systems. The CBF-based controller design relies on the…

math.OC2025

On Model Predictive Funnel Control with Equilibrium Endpoint Constraints

Jens Göbel, Dario Dennstädt, Lukas Lanza +3

We propose model predictive funnel control, a novel model predictive control (MPC) scheme building upon recent results in funnel control. The latter is a high-gain feedback methodo…

math.OC2025

Two-component controller design to safeguard data-driven predictive control

Lea Bold, Lukas Lanza, Karl Worthmann

We design a two-component controller to achieve reference tracking with output constraints - exemplified on systems of relative degree two. One component is a data-driven or learni…

math.OC2025

Data-driven Model Predictive Control: Asymptotic Stability despite Approximation Errors exemplified in the Koopman framework

Irene Schimperna, Karl Worthmann, Manuel Schaller +2

In this paper, we analyze stability of nonlinear model predictive control (MPC) using data-driven surrogate models in the optimization step. First, we establish asymptotic stabilit…

math.OC2025

Spatial decay of perturbations in hyperbolic equations with optimal boundary control

Benedikt Oppeneiger, Manuel Schaller, Karl Worthmann

Recently, domain-uniform stabilizability and detectability has been the central assumption %in order robustness results on the to ensure robustness in the sense of exponential deca…

math.OC2025

Spatial exponential decay of perturbations in optimal control of general evolution equations

Simone Göttlich, Benedikt Oppeneiger, Manuel Schaller +1

We analyze the robustness of optimally controlled evolution equations with respect to spatially localized perturbations. We prove that if the involved operators are domain-uniforml…