---
_id: '59740'
abstract:
- lang: eng
  text: <jats:title>ABSTRACT</jats:title><jats:p>In this contribution, we propose
    an innovative method for determining optimal control sequences for nonlinear systems
    with partially unknown dynamics, which further expands our previous work. Within
    the paradigm of model‐based design, the practicality and safety of commissioning
    feedforward controls and feedback controllers have priority. Our approach leverages
    probabilistic Gaussian processes to adjust for model inaccuracies from measured
    system data. This differs from conventional approaches that involve complicated
    analytical modeling and may entail a substantial time investment to acquire expertise
    and may prove impractical. Consequently, we address the limitations inherent in
    traditional design methodologies. Our research focuses on the formulation and
    solution of the hybrid<jats:sup>1</jats:sup> optimal control problem using probabilistic
    state predictions and multiple shooting. This ensures adaptability, data efficiency,
    and resilience against uncertainties in system dynamics. These attributes are
    empirically substantiated through experimental validation on a chaotic and highly
    sensitive dynamical system—a double pendulum on a cart. Our methodology unfolds
    as an iterative learning process, systematically exploring diverse controls, accumulating
    data within each iteration, and refining the control strategy until the desired
    task is accomplished. The adoption of the two‐degree‐of‐freedom control structure
    allows for the distinct consideration of the feedforward and the feedback control
    signal. For the latter, we employ a time‐variant, linear quadratic regulator (LQR)
    designed to stabilize the system around its target trajectory. Furthermore, we
    integrate a probabilistic long‐term prediction through the unscented transform,
    enabling systematic anticipation of safety‐critical violations. Detailed insights
    into relevant implementation aspects are provided. To ascertain the real‐world
    applicability, we present an exemplary application involving a double pendulum
    on a cart. The objective is to bring the pendulum arms from the lower stable to
    the upper unstable equilibrium by horizontally moving the cart and subsequently
    stabilize them. In this scenario, we assume that the centrifugal forces, crucial
    to the system dynamics, have not been accurately modeled and must be learned from
    data. Solving the control task took only 5 iterations and 1 h of computation time,
    which surpasses our previous work [2], where we used the purely data‐driven PILCO
    framework and required 27 iterations and 57 h of computation time. The time of
    interaction with the system decreased by  and the computation time is lowered
    by . It demonstrates significant practical applicability for commissioning control systems.</jats:p>
author:
- first_name: Michael
  full_name: Hesse, Michael
  id: '29222'
  last_name: Hesse
- first_name: Luis
  full_name: Schwarzer, Luis
  last_name: Schwarzer
- first_name: Julia
  full_name: Timmermann, Julia
  id: '15402'
  last_name: Timmermann
- first_name: Ansgar
  full_name: Trächtler, Ansgar
  id: '552'
  last_name: Trächtler
citation:
  ama: Hesse M, Schwarzer L, Timmermann J, Trächtler A. Robust and Efficient Hybrid
    Optimal Control via Gaussian Process Regression and Multiple Shooting With Experimental
    Validation on a Double Pendulum on a Cart. <i>PAMM</i>. 2025;25(2). doi:<a href="https://doi.org/10.1002/pamm.70004">10.1002/pamm.70004</a>
  apa: Hesse, M., Schwarzer, L., Timmermann, J., &#38; Trächtler, A. (2025). Robust
    and Efficient Hybrid Optimal Control via Gaussian Process Regression and Multiple
    Shooting With Experimental Validation on a Double Pendulum on a Cart. <i>PAMM</i>,
    <i>25</i>(2). <a href="https://doi.org/10.1002/pamm.70004">https://doi.org/10.1002/pamm.70004</a>
  bibtex: '@article{Hesse_Schwarzer_Timmermann_Trächtler_2025, title={Robust and Efficient
    Hybrid Optimal Control via Gaussian Process Regression and Multiple Shooting With
    Experimental Validation on a Double Pendulum on a Cart}, volume={25}, DOI={<a
    href="https://doi.org/10.1002/pamm.70004">10.1002/pamm.70004</a>}, number={2},
    journal={PAMM}, publisher={Wiley}, author={Hesse, Michael and Schwarzer, Luis
    and Timmermann, Julia and Trächtler, Ansgar}, year={2025} }'
  chicago: Hesse, Michael, Luis Schwarzer, Julia Timmermann, and Ansgar Trächtler.
    “Robust and Efficient Hybrid Optimal Control via Gaussian Process Regression and
    Multiple Shooting With Experimental Validation on a Double Pendulum on a Cart.”
    <i>PAMM</i> 25, no. 2 (2025). <a href="https://doi.org/10.1002/pamm.70004">https://doi.org/10.1002/pamm.70004</a>.
  ieee: 'M. Hesse, L. Schwarzer, J. Timmermann, and A. Trächtler, “Robust and Efficient
    Hybrid Optimal Control via Gaussian Process Regression and Multiple Shooting With
    Experimental Validation on a Double Pendulum on a Cart,” <i>PAMM</i>, vol. 25,
    no. 2, 2025, doi: <a href="https://doi.org/10.1002/pamm.70004">10.1002/pamm.70004</a>.'
  mla: Hesse, Michael, et al. “Robust and Efficient Hybrid Optimal Control via Gaussian
    Process Regression and Multiple Shooting With Experimental Validation on a Double
    Pendulum on a Cart.” <i>PAMM</i>, vol. 25, no. 2, Wiley, 2025, doi:<a href="https://doi.org/10.1002/pamm.70004">10.1002/pamm.70004</a>.
  short: M. Hesse, L. Schwarzer, J. Timmermann, A. Trächtler, PAMM 25 (2025).
date_created: 2025-04-30T08:18:46Z
date_updated: 2025-09-03T10:35:24Z
department:
- _id: '880'
- _id: '153'
doi: 10.1002/pamm.70004
intvolume: '        25'
issue: '2'
language:
- iso: eng
project:
- _id: '690'
  name: 'DART: Datengetriebene Methoden in der Regelungstechnik'
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
publisher: Wiley
status: public
title: Robust and Efficient Hybrid Optimal Control via Gaussian Process Regression
  and Multiple Shooting With Experimental Validation on a Double Pendulum on a Cart
type: journal_article
user_id: '15402'
volume: 25
year: '2025'
...
---
_id: '61118'
abstract:
- lang: eng
  text: Im Zuge der Digitalisierung erfahren maschinelles Lernen und datengetriebene
    Methoden derzeit eine große Aufmerksamkeit in Wissenschaft und Industrie. Es fehlt
    jedoch an Grundlagenwissen und Verständnis, wie die datengetriebenen Methoden
    der Informatik mit bewährten modellbasierten Ingenieursmethoden wie dem modellbasierten
    Entwurf in der Mechatronik und Methoden der Regelungstechnik sinnvoll kombiniert
    werden können, um hybride Modelle zu erhalten. Diese ingenieurwissenschaftlichen
    Methoden basieren auf physikalischen Verhaltensmodellen, die eine besonders verdichtete
    und interpretierbare Darstellung von Wissen darstellen und insbesondere kausale
    Zusammenhänge beschreiben. Für spezifische regelungstechnische Anwendungen gibt
    es umfangreiches Vorwissen in Form von bekannten Strukturen und Informationen,
    wie z.B. (Teil-)Modelle oder Parametersätze, die auch bei der Anwendung von Methoden
    wie dem maschinellen Lernen genutzt werden sollten. Eine solche sinnvolle systematische
    Verknüpfung ist wissenschaftlich, insbesondere im Hinblick auf die industrielle
    Anwendung, noch nicht ausreichend untersucht worden und sehr vielversprechend.
    In diesem Beitrag werden die Ergebnisse der Nachwuchsforschungsgruppe DART – Datengetriebene
    Methoden in der Regelungstechnik vorgestellt. Das Hauptziel war es, die synergetische
    Kombination von modell- und datengetriebenen Methoden für regelungstechnische
    Aufgaben zu erforschen und es werden alle wichtigen Forschungsergebnisse aber
    auch die verwendeten Grundprinzipien des maschinellen Lernens in diesem Beitrag
    dargestellt.
- lang: eng
  text: In the course of digitalization, machine learning and data-driven methods
    are currently receiving a great deal of attention in science and industry. However,
    there is a lack of basic knowledge and understanding of how data-driven methods
    in computer science can be meaningfully combined with proven model-based engineering
    methods such as model-based design in mechatronics and control engineering methods
    to obtain hybrid models. These engineering methods are based on physical models,
    which represent a particularly condensed and interpretable representation of knowledge
    and, in particular, describe causal relationships. For specific control engineering
    applications, there is extensive prior knowledge in the form of known structures
    and information, such as (partial) models or parameter sets, which should also
    be used when applying methods such as machine learning. Such a meaningful systematic
    connection has not yet been sufficiently investigated scientifically, especially
    with regard to industrial applications, and is very promising. This contribution
    presents the results of the DART junior research group – Data-driven methods in
    control engineering. The main objective was to investigate the synergistic combination
    of model- and data-driven methods for control engineering tasks, and all important
    research results as well as the basic principles of machine learning used are
    presented in this publication.
author:
- first_name: Julia
  full_name: Timmermann, Julia
  id: '15402'
  last_name: Timmermann
- first_name: Ricarda-Samantha
  full_name: Götte, Ricarda-Samantha
  id: '43992'
  last_name: Götte
- first_name: Annika
  full_name: Junker, Annika
  id: '41470'
  last_name: Junker
  orcid: 0009-0002-6475-2503
- first_name: Michael
  full_name: Hesse, Michael
  id: '29222'
  last_name: Hesse
- first_name: Luis
  full_name: Schwarzer, Luis
  last_name: Schwarzer
citation:
  ama: Timmermann J, Götte R-S, Junker A, Hesse M, Schwarzer L. <i>DART - Datengetriebene
    Methoden in der Regelungstechnik</i>. Vol Band 430. 1. Auflage. HNI Verlagsschriftenreihe;
    2025. doi:<a href="https://doi.org/10.17619/UNIPB/1-2305">10.17619/UNIPB/1-2305</a>
  apa: 'Timmermann, J., Götte, R.-S., Junker, A., Hesse, M., &#38; Schwarzer, L. (2025).
    <i>DART - Datengetriebene Methoden in der Regelungstechnik: Vol. Band 430</i>
    (1. Auflage). HNI Verlagsschriftenreihe. <a href="https://doi.org/10.17619/UNIPB/1-2305">https://doi.org/10.17619/UNIPB/1-2305</a>'
  bibtex: '@book{Timmermann_Götte_Junker_Hesse_Schwarzer_2025, place={Paderborn},
    edition={1. Auflage}, title={DART - Datengetriebene Methoden in der Regelungstechnik},
    volume={Band 430}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-2305">10.17619/UNIPB/1-2305</a>},
    publisher={HNI Verlagsschriftenreihe}, author={Timmermann, Julia and Götte, Ricarda-Samantha
    and Junker, Annika and Hesse, Michael and Schwarzer, Luis}, year={2025} }'
  chicago: 'Timmermann, Julia, Ricarda-Samantha Götte, Annika Junker, Michael Hesse,
    and Luis Schwarzer. <i>DART - Datengetriebene Methoden in der Regelungstechnik</i>.
    1. Auflage. Vol. Band 430. Paderborn: HNI Verlagsschriftenreihe, 2025. <a href="https://doi.org/10.17619/UNIPB/1-2305">https://doi.org/10.17619/UNIPB/1-2305</a>.'
  ieee: 'J. Timmermann, R.-S. Götte, A. Junker, M. Hesse, and L. Schwarzer, <i>DART
    - Datengetriebene Methoden in der Regelungstechnik</i>, 1. Auflage., vol. Band
    430. Paderborn: HNI Verlagsschriftenreihe, 2025.'
  mla: Timmermann, Julia, et al. <i>DART - Datengetriebene Methoden in der Regelungstechnik</i>.
    1. Auflage, vol. Band 430, HNI Verlagsschriftenreihe, 2025, doi:<a href="https://doi.org/10.17619/UNIPB/1-2305">10.17619/UNIPB/1-2305</a>.
  short: J. Timmermann, R.-S. Götte, A. Junker, M. Hesse, L. Schwarzer, DART - Datengetriebene
    Methoden in der Regelungstechnik, 1. Auflage, HNI Verlagsschriftenreihe, Paderborn,
    2025.
date_created: 2025-09-03T09:35:35Z
date_updated: 2026-04-01T06:14:00Z
department:
- _id: '880'
- _id: '153'
doi: 10.17619/UNIPB/1-2305
edition: 1. Auflage
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://digital.ub.uni-paderborn.de/doi/10.17619/UNIPB/1-2305
oa: '1'
place: Paderborn
publication_status: published
publisher: HNI Verlagsschriftenreihe
status: public
title: DART - Datengetriebene Methoden in der Regelungstechnik
type: book
user_id: '41470'
volume: Band 430
year: '2025'
...
---
_id: '58448'
abstract:
- lang: eng
  text: Die Inbetriebnahme von Steuerungen und Regelungen stellt sicher, dass ein
    mechatronisches System ordnungsgemäß funktioniert und den Anforderungen gerecht
    wird. Der modellbasierte Entwurf basiert auf einem genauen Simulationsmodell.
    Allerdings ist dieser klassische Weg bei komplexen Systemen oft nicht praktikabel,
    da die analytische Modellierung zu kompliziert und zeitaufwendig ist. Diese Forschungslücke
    wird durch Verfahren adressiert, die eine effiziente und sichere Inbetriebnahme
    ermöglichen. Diese Verfahren kombinieren Regelungstechnik und Reinforcement Learning
    und nutzen vorhandenes Wissen über die Regelungsaufgabe, um Korrekturen basierend
    auf Messdaten und der probabilistischen Gauß-Prozess-Regression vorzunehmen. Das
    Vorwissen kann als teilweise bekanntes physikalisches Modell oder als Steuerungsfunktion
    vorliegen. Anwendungsbeispiele sind der Ultraschalldrahtbondprozess, verschiedene
    Pendelsysteme und ein Hexapod. Eine angepasste Bayessche Optimierung wird zur
    Identifikation einer Steuerparametrisierung für das Ultraschallbonden eingesetzt.
    Außerdem wird eine hybride Optimalsteuerung für das Doppelpendel auf einem Wagen
    entwickelt und erfolgreich validiert. Fur einen Hexapod zur Fahrzeugachsprüfung
    wird eine hybride Zustandslinearisierung formuliert und ein Funktionsnachweis
    im Rahmen einer Simulation erbracht. Die Einhaltung technischer Rahmenbedingungen
    und stabiles Systemverhalten werden durch probabilistische Pradiktionen gewährleistet.
    In allen Anwendungsfällen wird eine Steigerung der Effizienz und Güte erzielt.
- lang: eng
  text: The commissioning of control systems ensures that a mechatronic system functions
    properly and meets the requirements. Model-based design is based on a precise
    simulation model. However, this classic approach is often impractical for complex
    systems, as analytical modeling is too complicated and time-consuming. This research
    gap is addressed by methods that enable efficient and safe commissioning. These
    methods combine control engineering and reinforcement learning and use existing
    knowledge about the control task to make corrections based on measurement data
    and probabilistic Gaussian process regression. The prior knowledge can be available
    as a partially known physical model or as a control function. Application examples
    include the ultrasonic wire bonding process, various pendulum systems and a hexapod.
    An adapted Bayesian optimization is used to identify a control parameterization
    for ultrasonic bonding. In addition, a hybrid optimal control for the double pendulum
    on a cart is developed and successfully validated. A hybrid state linearization
    is formulated for a hexapod for vehicle axle testing and a proof of concept is
    provided in a simulation. Compliance with technical framework conditions and stable
    system behavior are ensured by probabilistic predictions. An increase in efficiency
    and quality is achieved in all use cases.
author:
- first_name: Michael
  full_name: Hesse, Michael
  id: '29222'
  last_name: Hesse
citation:
  ama: Hesse M. <i>Interaktive Inbetriebnahme von Steuerungen und Regelungen für partiell
    bekannte dynamische Systeme mittels Gauß-Prozess-Regression</i>. Vol 426. Heinz
    Nixdorf Institut; 2024. doi:<a href="https://doi.org/10.17619/UNIPB/1-2135">10.17619/UNIPB/1-2135</a>
  apa: Hesse, M. (2024). <i>Interaktive Inbetriebnahme von Steuerungen und Regelungen
    für partiell bekannte dynamische Systeme mittels Gauß-Prozess-Regression</i> (Vol.
    426). Heinz Nixdorf Institut. <a href="https://doi.org/10.17619/UNIPB/1-2135">https://doi.org/10.17619/UNIPB/1-2135</a>
  bibtex: '@book{Hesse_2024, place={Paderborn}, series={Verlagsschriftenreihe des
    Heinz Nixdorf Instituts}, title={Interaktive Inbetriebnahme von Steuerungen und
    Regelungen für partiell bekannte dynamische Systeme mittels Gauß-Prozess-Regression},
    volume={426}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-2135">10.17619/UNIPB/1-2135</a>},
    publisher={Heinz Nixdorf Institut}, author={Hesse, Michael}, year={2024}, collection={Verlagsschriftenreihe
    des Heinz Nixdorf Instituts} }'
  chicago: 'Hesse, Michael. <i>Interaktive Inbetriebnahme von Steuerungen und Regelungen
    für partiell bekannte dynamische Systeme mittels Gauß-Prozess-Regression</i>.
    Vol. 426. Verlagsschriftenreihe des Heinz Nixdorf Instituts. Paderborn: Heinz
    Nixdorf Institut, 2024. <a href="https://doi.org/10.17619/UNIPB/1-2135">https://doi.org/10.17619/UNIPB/1-2135</a>.'
  ieee: 'M. Hesse, <i>Interaktive Inbetriebnahme von Steuerungen und Regelungen für
    partiell bekannte dynamische Systeme mittels Gauß-Prozess-Regression</i>, vol.
    426. Paderborn: Heinz Nixdorf Institut, 2024.'
  mla: Hesse, Michael. <i>Interaktive Inbetriebnahme von Steuerungen und Regelungen
    für partiell bekannte dynamische Systeme mittels Gauß-Prozess-Regression</i>.
    Heinz Nixdorf Institut, 2024, doi:<a href="https://doi.org/10.17619/UNIPB/1-2135">10.17619/UNIPB/1-2135</a>.
  short: M. Hesse, Interaktive Inbetriebnahme von Steuerungen und Regelungen für partiell
    bekannte dynamische Systeme mittels Gauß-Prozess-Regression, Heinz Nixdorf Institut,
    Paderborn, 2024.
date_created: 2025-01-30T14:45:46Z
date_updated: 2025-01-30T14:58:46Z
department:
- _id: '153'
- _id: '880'
doi: 10.17619/UNIPB/1-2135
intvolume: '       426'
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://digital.ub.uni-paderborn.de/doi/10.17619/UNIPB/1-2135
oa: '1'
place: Paderborn
publication_identifier:
  eissn:
  - 2365-4422
  isbn:
  - 978-3-947647-45-3
publication_status: published
publisher: Heinz Nixdorf Institut
series_title: Verlagsschriftenreihe des Heinz Nixdorf Instituts
status: public
supervisor:
- first_name: Julia
  full_name: Timmermann, Julia
  id: '15402'
  last_name: Timmermann
- first_name: Eyke
  full_name: Hüllermeier, Eyke
  last_name: Hüllermeier
title: Interaktive Inbetriebnahme von Steuerungen und Regelungen für partiell bekannte
  dynamische Systeme mittels Gauß-Prozess-Regression
type: dissertation
user_id: '82875'
volume: 426
year: '2024'
...
---
_id: '48476'
author:
- first_name: Michael
  full_name: Hesse, Michael
  id: '29222'
  last_name: Hesse
- first_name: Julia
  full_name: Timmermann, Julia
  id: '15402'
  last_name: Timmermann
- first_name: Ansgar
  full_name: Trächtler, Ansgar
  id: '552'
  last_name: Trächtler
citation:
  ama: 'Hesse M, Timmermann J, Trächtler A. Hybrid Optimal Control for Dynamical Systems
    using Gaussian Process Regression and Unscented Transform<sup>*</sup>. In: <i>2023
    European Control Conference (ECC)</i>. IEEE; 2023. doi:<a href="https://doi.org/10.23919/ecc57647.2023.10178368">10.23919/ecc57647.2023.10178368</a>'
  apa: Hesse, M., Timmermann, J., &#38; Trächtler, A. (2023). Hybrid Optimal Control
    for Dynamical Systems using Gaussian Process Regression and Unscented Transform<sup>*</sup>.
    <i>2023 European Control Conference (ECC)</i>. <a href="https://doi.org/10.23919/ecc57647.2023.10178368">https://doi.org/10.23919/ecc57647.2023.10178368</a>
  bibtex: '@inproceedings{Hesse_Timmermann_Trächtler_2023, title={Hybrid Optimal Control
    for Dynamical Systems using Gaussian Process Regression and Unscented Transform<sup>*</sup>},
    DOI={<a href="https://doi.org/10.23919/ecc57647.2023.10178368">10.23919/ecc57647.2023.10178368</a>},
    booktitle={2023 European Control Conference (ECC)}, publisher={IEEE}, author={Hesse,
    Michael and Timmermann, Julia and Trächtler, Ansgar}, year={2023} }'
  chicago: Hesse, Michael, Julia Timmermann, and Ansgar Trächtler. “Hybrid Optimal
    Control for Dynamical Systems Using Gaussian Process Regression and Unscented
    Transform<sup>*</sup>.” In <i>2023 European Control Conference (ECC)</i>. IEEE,
    2023. <a href="https://doi.org/10.23919/ecc57647.2023.10178368">https://doi.org/10.23919/ecc57647.2023.10178368</a>.
  ieee: 'M. Hesse, J. Timmermann, and A. Trächtler, “Hybrid Optimal Control for Dynamical
    Systems using Gaussian Process Regression and Unscented Transform<sup>*</sup>,”
    2023, doi: <a href="https://doi.org/10.23919/ecc57647.2023.10178368">10.23919/ecc57647.2023.10178368</a>.'
  mla: Hesse, Michael, et al. “Hybrid Optimal Control for Dynamical Systems Using
    Gaussian Process Regression and Unscented Transform<sup>*</sup>.” <i>2023 European
    Control Conference (ECC)</i>, IEEE, 2023, doi:<a href="https://doi.org/10.23919/ecc57647.2023.10178368">10.23919/ecc57647.2023.10178368</a>.
  short: 'M. Hesse, J. Timmermann, A. Trächtler, in: 2023 European Control Conference
    (ECC), IEEE, 2023.'
date_created: 2023-10-25T13:56:34Z
date_updated: 2024-11-13T08:43:40Z
department:
- _id: '153'
- _id: '880'
doi: 10.23919/ecc57647.2023.10178368
language:
- iso: eng
publication: 2023 European Control Conference (ECC)
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: Hybrid Optimal Control for Dynamical Systems using Gaussian Process Regression
  and Unscented Transform<sup>*</sup>
type: conference
user_id: '82875'
year: '2023'
...
---
_id: '29803'
abstract:
- lang: eng
  text: "Ultrasonic wire bonding is a solid-state joining process used to form electrical
    interconnections in micro and\r\npower electronics and batteries. A high frequency
    oscillation causes a metallurgical bond deformation in\r\nthe contact area. Due
    to the numerous physical influencing factors, it is very difficult to accurately
    capture\r\nthis process in a model. Therefore, our goal is to determine a suitable
    feed-forward control strategy for the\r\nbonding process even without detailed
    model knowledge. We propose the use of batch constrained Bayesian\r\noptimization
    for the control design. Hence, Bayesian optimization is precisely adapted to the
    application of\r\nbonding: the constraint is used to check one quality feature
    of the process and the use of batches leads to\r\nmore efficient experiments.
    Our approach is suitable to determine a feed-forward control for the bonding\r\nprocess
    that provides very high quality bonds without using a physical model. We also
    show that the quality\r\nof the Bayesian optimization based control outperforms
    random search as well as manual search by a user.\r\nUsing a simple prior knowledge
    model derived from data further improves the quality of the connection.\r\nThe
    Bayesian optimization approach offers the possibility to perform a sensitivity
    analysis of the control\r\nparameters, which allows to evaluate the influence
    of each control parameter on the bond quality. In summary,\r\nBayesian optimization
    applied to the bonding process provides an excellent opportunity to develop a
    feedforward\r\ncontrol without full modeling of the underlying physical processes."
author:
- first_name: Michael
  full_name: Hesse, Michael
  id: '29222'
  last_name: Hesse
- first_name: Matthias
  full_name: Hunstig, Matthias
  last_name: Hunstig
- first_name: Julia
  full_name: Timmermann, Julia
  id: '15402'
  last_name: Timmermann
- first_name: Ansgar
  full_name: Trächtler, Ansgar
  id: '552'
  last_name: Trächtler
citation:
  ama: 'Hesse M, Hunstig M, Timmermann J, Trächtler A. Batch Constrained Bayesian
    Optimization for UltrasonicWire Bonding Feed-forward Control Design. In: <i>Proceedings
    of the 11th International Conference on Pattern Recognition Applications and Methods
    (ICPRAM)</i>. ; 2022:383-394.'
  apa: Hesse, M., Hunstig, M., Timmermann, J., &#38; Trächtler, A. (2022). Batch Constrained
    Bayesian Optimization for UltrasonicWire Bonding Feed-forward Control Design.
    <i>Proceedings of the 11th International Conference on Pattern Recognition Applications
    and Methods (ICPRAM)</i>, 383–394.
  bibtex: '@inproceedings{Hesse_Hunstig_Timmermann_Trächtler_2022, title={Batch Constrained
    Bayesian Optimization for UltrasonicWire Bonding Feed-forward Control Design},
    booktitle={Proceedings of the 11th International Conference on Pattern Recognition
    Applications and Methods (ICPRAM)}, author={Hesse, Michael and Hunstig, Matthias
    and Timmermann, Julia and Trächtler, Ansgar}, year={2022}, pages={383–394} }'
  chicago: Hesse, Michael, Matthias Hunstig, Julia Timmermann, and Ansgar Trächtler.
    “Batch Constrained Bayesian Optimization for UltrasonicWire Bonding Feed-Forward
    Control Design.” In <i>Proceedings of the 11th International Conference on Pattern
    Recognition Applications and Methods (ICPRAM)</i>, 383–94, 2022.
  ieee: M. Hesse, M. Hunstig, J. Timmermann, and A. Trächtler, “Batch Constrained
    Bayesian Optimization for UltrasonicWire Bonding Feed-forward Control Design,”
    in <i>Proceedings of the 11th International Conference on Pattern Recognition
    Applications and Methods (ICPRAM)</i>, Online, 2022, pp. 383–394.
  mla: Hesse, Michael, et al. “Batch Constrained Bayesian Optimization for UltrasonicWire
    Bonding Feed-Forward Control Design.” <i>Proceedings of the 11th International
    Conference on Pattern Recognition Applications and Methods (ICPRAM)</i>, 2022,
    pp. 383–94.
  short: 'M. Hesse, M. Hunstig, J. Timmermann, A. Trächtler, in: Proceedings of the
    11th International Conference on Pattern Recognition Applications and Methods
    (ICPRAM), 2022, pp. 383–394.'
conference:
  end_date: 2022-02-05
  location: Online
  name: 11th International Conference on Pattern Recognition Applications and Methods
  start_date: 2022-02-03
date_created: 2022-02-09T12:50:25Z
date_updated: 2024-11-13T08:44:17Z
department:
- _id: '153'
- _id: '880'
keyword:
- Bayesian optimization
- Wire bonding
- Feed-forward control
- model-free design
language:
- iso: eng
page: 383-394
publication: Proceedings of the 11th International Conference on Pattern Recognition
  Applications and Methods (ICPRAM)
publication_identifier:
  isbn:
  - 978-989-758-549-4
quality_controlled: '1'
status: public
title: Batch Constrained Bayesian Optimization for UltrasonicWire Bonding Feed-forward
  Control Design
type: conference
user_id: '82875'
year: '2022'
...
---
_id: '22996'
abstract:
- lang: eng
  text: The effective control design of a dynamical system traditionally relies on
    a high level of system understanding, usually expressed in terms of an exact physical
    model. In contrast to this, reinforcement learning adopts a data-driven approach
    and constructs an optimal control strategy by interacting with the underlying
    system. To keep the wear of real-world systems as low as possible, the learning
    process should be short. In our research, we used the state-of-the-art reinforcement
    learning method PILCO to design a feedback control strategy for the swing-up of
    the double pendulum on a cart with remarkably few test iterations at the test
    bench. PILCO stands for “probabilistic inference for learning control” and requires
    only few expert knowledge for learning. To achieve the swing-up of a double pendulum
    on a cart to its upper unstable equilibrium position, we introduce additional
    state restrictions to PILCO, so that the limited cart distance can be taken into
    account. Thanks to these measures, we were able to learn the swing up at the real
    test bench for the first time and in only 27 learning iterations.
author:
- first_name: Michael
  full_name: Hesse, Michael
  id: '29222'
  last_name: Hesse
- first_name: Julia
  full_name: Timmermann, Julia
  id: '15402'
  last_name: Timmermann
- first_name: Eyke
  full_name: Hüllermeier, Eyke
  id: '48129'
  last_name: Hüllermeier
- first_name: Ansgar
  full_name: Trächtler, Ansgar
  id: '552'
  last_name: Trächtler
citation:
  ama: Hesse M, Timmermann J, Hüllermeier E, Trächtler A. A Reinforcement Learning
    Strategy for the Swing-Up of the Double Pendulum on a Cart. <i>Procedia Manufacturing</i>.
    2018;24:15-20.
  apa: Hesse, M., Timmermann, J., Hüllermeier, E., &#38; Trächtler, A. (2018). A Reinforcement
    Learning Strategy for the Swing-Up of the Double Pendulum on a Cart. <i>Procedia
    Manufacturing</i>, <i>24</i>, 15–20.
  bibtex: '@article{Hesse_Timmermann_Hüllermeier_Trächtler_2018, title={A Reinforcement
    Learning Strategy for the Swing-Up of the Double Pendulum on a Cart}, volume={24},
    journal={Procedia Manufacturing}, author={Hesse, Michael and Timmermann, Julia
    and Hüllermeier, Eyke and Trächtler, Ansgar}, year={2018}, pages={15–20} }'
  chicago: 'Hesse, Michael, Julia Timmermann, Eyke Hüllermeier, and Ansgar Trächtler.
    “A Reinforcement Learning Strategy for the Swing-Up of the Double Pendulum on
    a Cart.” <i>Procedia Manufacturing</i> 24 (2018): 15–20.'
  ieee: M. Hesse, J. Timmermann, E. Hüllermeier, and A. Trächtler, “A Reinforcement
    Learning Strategy for the Swing-Up of the Double Pendulum on a Cart,” <i>Procedia
    Manufacturing</i>, vol. 24, pp. 15–20, 2018.
  mla: Hesse, Michael, et al. “A Reinforcement Learning Strategy for the Swing-Up
    of the Double Pendulum on a Cart.” <i>Procedia Manufacturing</i>, vol. 24, 2018,
    pp. 15–20.
  short: M. Hesse, J. Timmermann, E. Hüllermeier, A. Trächtler, Procedia Manufacturing
    24 (2018) 15–20.
date_created: 2021-08-09T05:41:38Z
date_updated: 2023-11-06T15:17:24Z
department:
- _id: '153'
intvolume: '        24'
language:
- iso: eng
page: 15 - 20
publication: Procedia Manufacturing
quality_controlled: '1'
status: public
title: A Reinforcement Learning Strategy for the Swing-Up of the Double Pendulum on
  a Cart
type: journal_article
user_id: '29222'
volume: 24
year: '2018'
...
