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20242026
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8 papers · 1 filter

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

Safe continual learning in model predictive control with prescribed bounds on the tracking error

Lukas Lanza, Dario Dennstädt, Thomas Berger +1

We develop a three-component Model Predictive Control (MPC) algorithm to achieve output-reference tracking with prescribed performance for continuous-time nonlinear systems. One co…

math.OC2025

Sampled-data funnel control and its use for safe continual learning

Lukas Lanza, Dario Dennstädt, Karl Worthmann +4

We propose a novel sampled-data output-feedback controller for nonlinear systems of arbitrary relative degree that ensures reference tracking within prescribed error bounds. We pro…

math.OC2024

Exact output tracking in prescribed finite time via funnel control

Lukas Lanza

Output reference tracking of unknown nonlinear systems is considered. The control objective is exact tracking in predefined finite time, while in the transient phase the tracking e…