Data-driven MPC with terminal conditions in the Koopman framework

Authors: Worthmann, Karl, Strasser, Robin, Schaller, Manuel, Berberich, Julian, Allgower, Frank

Source: 2024 IEEE 63rd Conference on Decision and Control (CDC) Decision and Control (CDC), 2024 IEEE 63rd Conference on. :146-151 Dec, 2024

Relation: 2024 IEEE 63rd Conference on Decision and Control (CDC)

Kernel-based error bounds of bilinear Koopman surrogate models for nonlinear data-driven control

Authors: Strässer, Robin, Schaller, Manuel, Berberich, Julian, Worthmann, Karl, Allgöwer, Frank

Subject Terms: Electrical Engineering and Systems Science - Systems and Control, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2503.13407

Spatial decay of perturbations in hyperbolic equations with optimal boundary control

Authors: Oppeneiger, Benedikt, Schaller, Manuel, Worthmann, Karl

Subject Terms: Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control

Access URL: http://arxiv.org/abs/2502.11975

Towards Data-Driven Multi-Stage OPF

Authors: Molodchyk, Oleksii, Schmitz, Philipp, Engelmann, Alexander, Worthmann, Karl, Faulwasser, Timm

Subject Terms: Electrical Engineering and Systems Science - Systems and Control

Access URL: http://arxiv.org/abs/2502.01545

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

Authors: Göttlich, Simone, Oppeneiger, Benedikt, Schaller, Manuel, Worthmann, Karl

Subject Terms: Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control, Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2501.12279

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees

Authors: Bold, Lea, Schaller, Manuel, Schimperna, Irene, Worthmann, Karl

Subject Terms: Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2501.08709

On Model Predictive Control with Sampled-Data Input for Output Tracking with Prescribed Performance

Authors: Dennstadt, Dario, Lanza, Lukas, Worthmann, Karl

Source: 2024 European Control Conference (ECC) Control Conference (ECC), 2024 European. :2978-2984 Jun, 2024

Relation: 2024 European Control Conference (ECC)

Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability

Authors: Bold, Lea, Philipp, Friedrich M., Schaller, Manuel, Worthmann, Karl

Subject Terms: Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control

Access URL: http://arxiv.org/abs/2412.02811

Koopman-based control of nonlinear systems with closed-loop guarantees

Authors: Strässer, Robin, Berberich, Julian, Schaller, Manuel, Worthmann, Karl, Allgöwer, Frank

Subject Terms: Electrical Engineering and Systems Science - Systems and Control, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2411.10359

Data-Driven Predictive Control of Nonholonomic Robots Based on a Bilinear Koopman Realization: Data Does Not Replace Geometry

Authors: Rosenfelder, Mario, Bold, Lea, Eschmann, Hannes, Eberhard, Peter, Worthmann, Karl, Ebel, Henrik

Subject Terms: Electrical Engineering and Systems Science - Systems and Control, Computer Science - Machine Learning, Computer Science - Robotics

Access URL: http://arxiv.org/abs/2411.07192

Group-Convolutional Extended Dynamic Mode Decomposition

Authors: Harder, Hans, Nüske, Feliks, Philipp, Friedrich M., Schaller, Manuel, Worthmann, Karl, Peitz, Sebastian

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2411.00905

Existence of solutions to port-Hamiltonian systems: initial value problems and optimal control

Authors: Esterhuizen, Willem, Maschke, Bernhard, Preuster, Till, Schaller, Manuel, Worthmann, Karl

Subject Terms: Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control, 34A12, 49J15, 80M50, 93D20

Access URL: http://arxiv.org/abs/2410.18888

Modularized data-driven approximation of the Koopman operator and generator

Authors: Guo, Yang, Schaller, Manuel, Worthmann, Karl, Streif, Stefan

Subject Terms: Electrical Engineering and Systems Science - Systems and Control, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2408.12277

Reprojection Methods for Koopman-Based Modelling and Prediction

Authors: Van Goor, Pieter, Mahony, Robert, Schaller, Manuel, Worthmann, Karl

Source: 2023 62nd IEEE Conference on Decision and Control (CDC) Decision and Control (CDC), 2023 62nd IEEE Conference on. :315-321 Dec, 2023

Relation: 2023 62nd IEEE Conference on Decision and Control (CDC)

A continuous-time fundamental lemma and its application in data-driven optimal control

Authors: Schmitz, Philipp, Faulwasser, Timm, Rapisarda, Paolo, Worthmann, Karl

Subject Terms: Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2407.12179

Invariance of Gaussian RKHSs under Koopman operators of stochastic differential equations with constant matrix coefficients

Authors: Philipp, Friedrich, Schaller, Manuel, Worthmann, Karl, Peitz, Sebastian, Nüske, Feliks

Subject Terms: Mathematics - Probability, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2405.14429

Safe data-driven reference tracking with prescribed performance⋆

Authors: Schmitz, Philipp, Lanza, Lukas, Worthmann, Karl

Source: 2023 27th International Conference on System Theory, Control and Computing (ICSTCC) System Theory, Control and Computing (ICSTCC), 2023 27th International Conference on. :454-460 Oct, 2023

Relation: 2023 27th International Conference on System Theory, Control and Computing (ICSTCC)

Distributed Optimization for Energy Grids: A Tutorial on ADMM and ALADIN

Authors: Lanza, Lukas, Faulwasser, Timm, Worthmann, Karl

Subject Terms: Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2404.03946

Towards Efficient Aggregation of Storage Flexibilities in Power Grids

Authors: Öztürk, Emrah, Kaspar, Kevin, Faulwasser, Timm, Worthmann, Karl, Kepplinger, Peter, Rheinberger, Klaus

Subject Terms: Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2403.20104

$L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition

Authors: Köhne, Frederik, Philipp, Friedrich M., Schaller, Manuel, Schiela, Anton, Worthmann, Karl

Subject Terms: Mathematics - Dynamical Systems, Mathematics - Numerical Analysis, 37M99, 41A05, 47B32, 47B33, 65D12

Access URL: http://arxiv.org/abs/2403.18809