---
_id: '63476'
abstract:
- lang: eng
  text: <jats:title>ABSTRACT</jats:title><jats:p>We develop a three‐component Model
    Predictive Control (MPC) algorithm to achieve output‐reference tracking with prescribed
    performance for continuous‐time nonlinear systems. One component is the so‐called
    funnel MPC, which achieves reference tracking with prescribed performance for
    the model output for suitable models. Recently, this MPC algorithm has been combined
    with a model‐free reactive feedback controller (second component) to account for
    model‐plant mismatches, bounded disturbances, and uncertainties. By construction,
    this two‐component controller defines a robust funnel MPC algorithm. It achieves
    output‐reference tracking within prescribed bounds on the tracking error for a
    class of unknown nonlinear systems. In this paper, we extend the robust funnel
    MPC by a machine learning component to adapt the underlying model to the system
    data and, thus, improve the contribution of MPC. We derive sufficient structural
    conditions to define a class of models for funnel MPC, and provide a characterization
    of suitable learning schemes. Since robust funnel MPC is inherently robust and
    the evolution of the tracking error in the prescribed performance funnel is guaranteed,
    the additional learning component can perform the learning task online—even without
    an initial model or offline training.</jats:p>
author:
- first_name: Lukas
  full_name: Lanza, Lukas
  last_name: Lanza
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: Thomas
  full_name: Berger, Thomas
  last_name: Berger
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
citation:
  ama: Lanza L, Dennstädt D, Berger T, Worthmann K. Safe Continual Learning in Model
    Predictive Control With Prescribed Bounds on the Tracking Error. <i>International
    Journal of Robust and Nonlinear Control</i>. 2025;35(13):5569-5582. doi:<a href="https://doi.org/10.1002/rnc.8001">10.1002/rnc.8001</a>
  apa: Lanza, L., Dennstädt, D., Berger, T., &#38; Worthmann, K. (2025). Safe Continual
    Learning in Model Predictive Control With Prescribed Bounds on the Tracking Error.
    <i>International Journal of Robust and Nonlinear Control</i>, <i>35</i>(13), 5569–5582.
    <a href="https://doi.org/10.1002/rnc.8001">https://doi.org/10.1002/rnc.8001</a>
  bibtex: '@article{Lanza_Dennstädt_Berger_Worthmann_2025, title={Safe Continual Learning
    in Model Predictive Control With Prescribed Bounds on the Tracking Error}, volume={35},
    DOI={<a href="https://doi.org/10.1002/rnc.8001">10.1002/rnc.8001</a>}, number={13},
    journal={International Journal of Robust and Nonlinear Control}, publisher={Wiley},
    author={Lanza, Lukas and Dennstädt, Dario and Berger, Thomas and Worthmann, Karl},
    year={2025}, pages={5569–5582} }'
  chicago: 'Lanza, Lukas, Dario Dennstädt, Thomas Berger, and Karl Worthmann. “Safe
    Continual Learning in Model Predictive Control With Prescribed Bounds on the Tracking
    Error.” <i>International Journal of Robust and Nonlinear Control</i> 35, no. 13
    (2025): 5569–82. <a href="https://doi.org/10.1002/rnc.8001">https://doi.org/10.1002/rnc.8001</a>.'
  ieee: 'L. Lanza, D. Dennstädt, T. Berger, and K. Worthmann, “Safe Continual Learning
    in Model Predictive Control With Prescribed Bounds on the Tracking Error,” <i>International
    Journal of Robust and Nonlinear Control</i>, vol. 35, no. 13, pp. 5569–5582, 2025,
    doi: <a href="https://doi.org/10.1002/rnc.8001">10.1002/rnc.8001</a>.'
  mla: Lanza, Lukas, et al. “Safe Continual Learning in Model Predictive Control With
    Prescribed Bounds on the Tracking Error.” <i>International Journal of Robust and
    Nonlinear Control</i>, vol. 35, no. 13, Wiley, 2025, pp. 5569–82, doi:<a href="https://doi.org/10.1002/rnc.8001">10.1002/rnc.8001</a>.
  short: L. Lanza, D. Dennstädt, T. Berger, K. Worthmann, International Journal of
    Robust and Nonlinear Control 35 (2025) 5569–5582.
date_created: 2026-01-05T20:51:24Z
date_updated: 2026-01-05T20:59:06Z
doi: 10.1002/rnc.8001
intvolume: '        35'
issue: '13'
language:
- iso: eng
page: 5569-5582
publication: International Journal of Robust and Nonlinear Control
publication_identifier:
  issn:
  - 1049-8923
  - 1099-1239
publication_status: published
publisher: Wiley
status: public
title: Safe Continual Learning in Model Predictive Control With Prescribed Bounds
  on the Tracking Error
type: journal_article
user_id: '98033'
volume: 35
year: '2025'
...
---
_id: '63477'
author:
- first_name: Jens
  full_name: Göbel, Jens
  last_name: Göbel
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: Lukas
  full_name: Lanza, Lukas
  last_name: Lanza
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
- first_name: Thomas
  full_name: Berger, Thomas
  last_name: Berger
- first_name: Tobias
  full_name: Damm, Tobias
  last_name: Damm
citation:
  ama: Göbel J, Dennstädt D, Lanza L, Worthmann K, Berger T, Damm T. On Model Predictive
    Funnel Control With Equilibrium Endpoint Constraints. <i>IEEE Control Systems
    Letters</i>. 2025;9:1622-1627. doi:<a href="https://doi.org/10.1109/lcsys.2025.3580028">10.1109/lcsys.2025.3580028</a>
  apa: Göbel, J., Dennstädt, D., Lanza, L., Worthmann, K., Berger, T., &#38; Damm,
    T. (2025). On Model Predictive Funnel Control With Equilibrium Endpoint Constraints.
    <i>IEEE Control Systems Letters</i>, <i>9</i>, 1622–1627. <a href="https://doi.org/10.1109/lcsys.2025.3580028">https://doi.org/10.1109/lcsys.2025.3580028</a>
  bibtex: '@article{Göbel_Dennstädt_Lanza_Worthmann_Berger_Damm_2025, title={On Model
    Predictive Funnel Control With Equilibrium Endpoint Constraints}, volume={9},
    DOI={<a href="https://doi.org/10.1109/lcsys.2025.3580028">10.1109/lcsys.2025.3580028</a>},
    journal={IEEE Control Systems Letters}, publisher={Institute of Electrical and
    Electronics Engineers (IEEE)}, author={Göbel, Jens and Dennstädt, Dario and Lanza,
    Lukas and Worthmann, Karl and Berger, Thomas and Damm, Tobias}, year={2025}, pages={1622–1627}
    }'
  chicago: 'Göbel, Jens, Dario Dennstädt, Lukas Lanza, Karl Worthmann, Thomas Berger,
    and Tobias Damm. “On Model Predictive Funnel Control With Equilibrium Endpoint
    Constraints.” <i>IEEE Control Systems Letters</i> 9 (2025): 1622–27. <a href="https://doi.org/10.1109/lcsys.2025.3580028">https://doi.org/10.1109/lcsys.2025.3580028</a>.'
  ieee: 'J. Göbel, D. Dennstädt, L. Lanza, K. Worthmann, T. Berger, and T. Damm, “On
    Model Predictive Funnel Control With Equilibrium Endpoint Constraints,” <i>IEEE
    Control Systems Letters</i>, vol. 9, pp. 1622–1627, 2025, doi: <a href="https://doi.org/10.1109/lcsys.2025.3580028">10.1109/lcsys.2025.3580028</a>.'
  mla: Göbel, Jens, et al. “On Model Predictive Funnel Control With Equilibrium Endpoint
    Constraints.” <i>IEEE Control Systems Letters</i>, vol. 9, Institute of Electrical
    and Electronics Engineers (IEEE), 2025, pp. 1622–27, doi:<a href="https://doi.org/10.1109/lcsys.2025.3580028">10.1109/lcsys.2025.3580028</a>.
  short: J. Göbel, D. Dennstädt, L. Lanza, K. Worthmann, T. Berger, T. Damm, IEEE
    Control Systems Letters 9 (2025) 1622–1627.
date_created: 2026-01-05T20:51:39Z
date_updated: 2026-01-05T21:00:23Z
doi: 10.1109/lcsys.2025.3580028
intvolume: '         9'
language:
- iso: eng
page: 1622-1627
publication: IEEE Control Systems Letters
publication_identifier:
  issn:
  - 2475-1456
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: On Model Predictive Funnel Control With Equilibrium Endpoint Constraints
type: journal_article
user_id: '98033'
volume: 9
year: '2025'
...
---
_id: '63474'
author:
- first_name: Lukas
  full_name: Lanza, Lukas
  last_name: Lanza
- first_name: Johannes
  full_name: Köhler, Johannes
  last_name: Köhler
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: Thomas
  full_name: Berger, Thomas
  last_name: Berger
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
citation:
  ama: Lanza L, Köhler J, Dennstädt D, Berger T, Worthmann K. A Model-Free Approach
    to Control Barrier Functions Using Funnel Control. <i>IEEE Control Systems Letters</i>.
    2025;9:1183-1188. doi:<a href="https://doi.org/10.1109/lcsys.2025.3581519">10.1109/lcsys.2025.3581519</a>
  apa: Lanza, L., Köhler, J., Dennstädt, D., Berger, T., &#38; Worthmann, K. (2025).
    A Model-Free Approach to Control Barrier Functions Using Funnel Control. <i>IEEE
    Control Systems Letters</i>, <i>9</i>, 1183–1188. <a href="https://doi.org/10.1109/lcsys.2025.3581519">https://doi.org/10.1109/lcsys.2025.3581519</a>
  bibtex: '@article{Lanza_Köhler_Dennstädt_Berger_Worthmann_2025, title={A Model-Free
    Approach to Control Barrier Functions Using Funnel Control}, volume={9}, DOI={<a
    href="https://doi.org/10.1109/lcsys.2025.3581519">10.1109/lcsys.2025.3581519</a>},
    journal={IEEE Control Systems Letters}, publisher={Institute of Electrical and
    Electronics Engineers (IEEE)}, author={Lanza, Lukas and Köhler, Johannes and Dennstädt,
    Dario and Berger, Thomas and Worthmann, Karl}, year={2025}, pages={1183–1188}
    }'
  chicago: 'Lanza, Lukas, Johannes Köhler, Dario Dennstädt, Thomas Berger, and Karl
    Worthmann. “A Model-Free Approach to Control Barrier Functions Using Funnel Control.”
    <i>IEEE Control Systems Letters</i> 9 (2025): 1183–88. <a href="https://doi.org/10.1109/lcsys.2025.3581519">https://doi.org/10.1109/lcsys.2025.3581519</a>.'
  ieee: 'L. Lanza, J. Köhler, D. Dennstädt, T. Berger, and K. Worthmann, “A Model-Free
    Approach to Control Barrier Functions Using Funnel Control,” <i>IEEE Control Systems
    Letters</i>, vol. 9, pp. 1183–1188, 2025, doi: <a href="https://doi.org/10.1109/lcsys.2025.3581519">10.1109/lcsys.2025.3581519</a>.'
  mla: Lanza, Lukas, et al. “A Model-Free Approach to Control Barrier Functions Using
    Funnel Control.” <i>IEEE Control Systems Letters</i>, vol. 9, Institute of Electrical
    and Electronics Engineers (IEEE), 2025, pp. 1183–88, doi:<a href="https://doi.org/10.1109/lcsys.2025.3581519">10.1109/lcsys.2025.3581519</a>.
  short: L. Lanza, J. Köhler, D. Dennstädt, T. Berger, K. Worthmann, IEEE Control
    Systems Letters 9 (2025) 1183–1188.
date_created: 2026-01-05T20:50:46Z
date_updated: 2026-01-05T20:58:44Z
doi: 10.1109/lcsys.2025.3581519
intvolume: '         9'
language:
- iso: eng
page: 1183-1188
publication: IEEE Control Systems Letters
publication_identifier:
  issn:
  - 2475-1456
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: A Model-Free Approach to Control Barrier Functions Using Funnel Control
type: journal_article
user_id: '98033'
volume: 9
year: '2025'
...
---
_id: '63475'
author:
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
citation:
  ama: Dennstädt D. A low-complexity funnel control approach for non-linear systems
    of higher-order. <i>IFAC-PapersOnLine</i>. 2025;59(14):7-12. doi:<a href="https://doi.org/10.1016/j.ifacol.2025.12.117">10.1016/j.ifacol.2025.12.117</a>
  apa: Dennstädt, D. (2025). A low-complexity funnel control approach for non-linear
    systems of higher-order. <i>IFAC-PapersOnLine</i>, <i>59</i>(14), 7–12. <a href="https://doi.org/10.1016/j.ifacol.2025.12.117">https://doi.org/10.1016/j.ifacol.2025.12.117</a>
  bibtex: '@article{Dennstädt_2025, title={A low-complexity funnel control approach
    for non-linear systems of higher-order}, volume={59}, DOI={<a href="https://doi.org/10.1016/j.ifacol.2025.12.117">10.1016/j.ifacol.2025.12.117</a>},
    number={14}, journal={IFAC-PapersOnLine}, publisher={Elsevier BV}, author={Dennstädt,
    Dario}, year={2025}, pages={7–12} }'
  chicago: 'Dennstädt, Dario. “A Low-Complexity Funnel Control Approach for Non-Linear
    Systems of Higher-Order.” <i>IFAC-PapersOnLine</i> 59, no. 14 (2025): 7–12. <a
    href="https://doi.org/10.1016/j.ifacol.2025.12.117">https://doi.org/10.1016/j.ifacol.2025.12.117</a>.'
  ieee: 'D. Dennstädt, “A low-complexity funnel control approach for non-linear systems
    of higher-order,” <i>IFAC-PapersOnLine</i>, vol. 59, no. 14, pp. 7–12, 2025, doi:
    <a href="https://doi.org/10.1016/j.ifacol.2025.12.117">10.1016/j.ifacol.2025.12.117</a>.'
  mla: Dennstädt, Dario. “A Low-Complexity Funnel Control Approach for Non-Linear
    Systems of Higher-Order.” <i>IFAC-PapersOnLine</i>, vol. 59, no. 14, Elsevier
    BV, 2025, pp. 7–12, doi:<a href="https://doi.org/10.1016/j.ifacol.2025.12.117">10.1016/j.ifacol.2025.12.117</a>.
  short: D. Dennstädt, IFAC-PapersOnLine 59 (2025) 7–12.
date_created: 2026-01-05T20:51:09Z
date_updated: 2026-01-05T20:58:55Z
doi: 10.1016/j.ifacol.2025.12.117
intvolume: '        59'
issue: '14'
language:
- iso: eng
page: 7-12
publication: IFAC-PapersOnLine
publication_identifier:
  issn:
  - 2405-8963
publication_status: published
publisher: Elsevier BV
status: public
title: A low-complexity funnel control approach for non-linear systems of higher-order
type: journal_article
user_id: '98033'
volume: 59
year: '2025'
...
---
_id: '63478'
abstract:
- lang: eng
  text: We address the problem of output reference tracking for unknown nonlinear
    multi-input, multi-output systems with relative degree two and bounded-input bounded-state
    (BIBS) stable internal dynamics. We propose a novel model-free adaptive controller
    that ensures the evolution of the tracking error within prescribed performance
    funnel boundaries. By applying an output filter, the control objective is achieved
    without utilizing derivative information of system's output. The controller is
    illustrated by a numerical example.
author:
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: J.
  full_name: Schaa, J.
  last_name: Schaa
- first_name: T.
  full_name: Berger, T.
  last_name: Berger
citation:
  ama: Dennstädt D, Schaa J, Berger T. Funnel control with input filter for nonlinear
    systems of relative degree two. <i>arXiv:251217806</i>. Published online 2025.
  apa: Dennstädt, D., Schaa, J., &#38; Berger, T. (2025). Funnel control with input
    filter for nonlinear systems of relative degree two. In <i>arXiv:2512.17806</i>.
  bibtex: '@article{Dennstädt_Schaa_Berger_2025, title={Funnel control with input
    filter for nonlinear systems of relative degree two}, journal={arXiv:2512.17806},
    author={Dennstädt, Dario and Schaa, J. and Berger, T.}, year={2025} }'
  chicago: Dennstädt, Dario, J. Schaa, and T. Berger. “Funnel Control with Input Filter
    for Nonlinear Systems of Relative Degree Two.” <i>ArXiv:2512.17806</i>, 2025.
  ieee: D. Dennstädt, J. Schaa, and T. Berger, “Funnel control with input filter for
    nonlinear systems of relative degree two,” <i>arXiv:2512.17806</i>. 2025.
  mla: Dennstädt, Dario, et al. “Funnel Control with Input Filter for Nonlinear Systems
    of Relative Degree Two.” <i>ArXiv:2512.17806</i>, 2025.
  short: D. Dennstädt, J. Schaa, T. Berger, ArXiv:2512.17806 (2025).
date_created: 2026-01-05T20:51:58Z
date_updated: 2026-01-05T20:59:20Z
external_id:
  arxiv:
  - '2512.17806'
language:
- iso: eng
publication: arXiv:2512.17806
status: public
title: Funnel control with input filter for nonlinear systems of relative degree two
type: preprint
user_id: '98033'
year: '2025'
...
---
_id: '53146'
author:
- first_name: Thomas
  full_name: Berger, Thomas
  id: '77457'
  last_name: Berger
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: 'L. '
  full_name: 'Lanza, L. '
  last_name: Lanza
- first_name: 'K. '
  full_name: 'Worthmann, K. '
  last_name: Worthmann
citation:
  ama: Berger T, Dennstädt D, Lanza L, Worthmann K. Robust Funnel Model Predictive
    Control for Output Tracking with Prescribed Performance. <i>SIAM Journal on Control
    and Optimization</i>. Published online 2024.
  apa: Berger, T., Dennstädt, D., Lanza, L., &#38; Worthmann, K. (2024). Robust Funnel
    Model Predictive Control for Output Tracking with Prescribed Performance. <i>SIAM
    Journal on Control and Optimization</i>.
  bibtex: '@article{Berger_Dennstädt_Lanza_Worthmann_2024, title={Robust Funnel Model
    Predictive Control for Output Tracking with Prescribed Performance}, journal={SIAM
    Journal on Control and Optimization}, author={Berger, Thomas and Dennstädt, Dario
    and Lanza, L.  and Worthmann, K. }, year={2024} }'
  chicago: Berger, Thomas, Dario Dennstädt, L.  Lanza, and K.  Worthmann. “Robust
    Funnel Model Predictive Control for Output Tracking with Prescribed Performance.”
    <i>SIAM Journal on Control and Optimization</i>, 2024.
  ieee: T. Berger, D. Dennstädt, L. Lanza, and K. Worthmann, “Robust Funnel Model
    Predictive Control for Output Tracking with Prescribed Performance,” <i>SIAM Journal
    on Control and Optimization</i>, 2024.
  mla: Berger, Thomas, et al. “Robust Funnel Model Predictive Control for Output Tracking
    with Prescribed Performance.” <i>SIAM Journal on Control and Optimization</i>,
    2024.
  short: T. Berger, D. Dennstädt, L. Lanza, K. Worthmann, SIAM Journal on Control
    and Optimization (2024).
date_created: 2024-04-03T10:08:01Z
date_updated: 2026-01-05T20:52:17Z
department:
- _id: '618'
language:
- iso: eng
publication: SIAM Journal on Control and Optimization
status: public
title: Robust Funnel Model Predictive Control for Output Tracking with Prescribed
  Performance
type: journal_article
user_id: '77457'
year: '2024'
...
---
_id: '53151'
author:
- first_name: Thomas
  full_name: Berger, Thomas
  id: '77457'
  last_name: Berger
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
citation:
  ama: Berger T, Dennstädt D. Funnel MPC for nonlinear systems with arbitrary relative
    degree. <i>Automatica</i>. Published online 2024.
  apa: Berger, T., &#38; Dennstädt, D. (2024). Funnel MPC for nonlinear systems with
    arbitrary relative degree. <i>Automatica</i>.
  bibtex: '@article{Berger_Dennstädt_2024, title={Funnel MPC for nonlinear systems
    with arbitrary relative degree}, journal={Automatica}, author={Berger, Thomas
    and Dennstädt, Dario}, year={2024} }'
  chicago: Berger, Thomas, and Dario Dennstädt. “Funnel MPC for Nonlinear Systems
    with Arbitrary Relative Degree.” <i>Automatica</i>, 2024.
  ieee: T. Berger and D. Dennstädt, “Funnel MPC for nonlinear systems with arbitrary
    relative degree,” <i>Automatica</i>, 2024.
  mla: Berger, Thomas, and Dario Dennstädt. “Funnel MPC for Nonlinear Systems with
    Arbitrary Relative Degree.” <i>Automatica</i>, 2024.
  short: T. Berger, D. Dennstädt, Automatica (2024).
date_created: 2024-04-03T10:10:33Z
date_updated: 2026-01-05T20:52:14Z
language:
- iso: eng
publication: Automatica
status: public
title: Funnel MPC for nonlinear systems with arbitrary relative degree
type: journal_article
user_id: '77457'
year: '2024'
...
---
_id: '63472'
article_number: '106018'
author:
- first_name: Benedikt
  full_name: Oppeneiger, Benedikt
  last_name: Oppeneiger
- first_name: Lukas
  full_name: Lanza, Lukas
  last_name: Lanza
- first_name: Maximilian
  full_name: Schell, Maximilian
  last_name: Schell
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: Manuel
  full_name: Schaller, Manuel
  last_name: Schaller
- first_name: Bert
  full_name: Zamzow, Bert
  last_name: Zamzow
- first_name: Thomas
  full_name: Berger, Thomas
  last_name: Berger
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
citation:
  ama: Oppeneiger B, Lanza L, Schell M, et al. Model predictive control of a magnetic
    levitation system with prescribed output tracking performance. <i>Control Engineering
    Practice</i>. 2024;151. doi:<a href="https://doi.org/10.1016/j.conengprac.2024.106018">10.1016/j.conengprac.2024.106018</a>
  apa: Oppeneiger, B., Lanza, L., Schell, M., Dennstädt, D., Schaller, M., Zamzow,
    B., Berger, T., &#38; Worthmann, K. (2024). Model predictive control of a magnetic
    levitation system with prescribed output tracking performance. <i>Control Engineering
    Practice</i>, <i>151</i>, Article 106018. <a href="https://doi.org/10.1016/j.conengprac.2024.106018">https://doi.org/10.1016/j.conengprac.2024.106018</a>
  bibtex: '@article{Oppeneiger_Lanza_Schell_Dennstädt_Schaller_Zamzow_Berger_Worthmann_2024,
    title={Model predictive control of a magnetic levitation system with prescribed
    output tracking performance}, volume={151}, DOI={<a href="https://doi.org/10.1016/j.conengprac.2024.106018">10.1016/j.conengprac.2024.106018</a>},
    number={106018}, journal={Control Engineering Practice}, publisher={Elsevier BV},
    author={Oppeneiger, Benedikt and Lanza, Lukas and Schell, Maximilian and Dennstädt,
    Dario and Schaller, Manuel and Zamzow, Bert and Berger, Thomas and Worthmann,
    Karl}, year={2024} }'
  chicago: Oppeneiger, Benedikt, Lukas Lanza, Maximilian Schell, Dario Dennstädt,
    Manuel Schaller, Bert Zamzow, Thomas Berger, and Karl Worthmann. “Model Predictive
    Control of a Magnetic Levitation System with Prescribed Output Tracking Performance.”
    <i>Control Engineering Practice</i> 151 (2024). <a href="https://doi.org/10.1016/j.conengprac.2024.106018">https://doi.org/10.1016/j.conengprac.2024.106018</a>.
  ieee: 'B. Oppeneiger <i>et al.</i>, “Model predictive control of a magnetic levitation
    system with prescribed output tracking performance,” <i>Control Engineering Practice</i>,
    vol. 151, Art. no. 106018, 2024, doi: <a href="https://doi.org/10.1016/j.conengprac.2024.106018">10.1016/j.conengprac.2024.106018</a>.'
  mla: Oppeneiger, Benedikt, et al. “Model Predictive Control of a Magnetic Levitation
    System with Prescribed Output Tracking Performance.” <i>Control Engineering Practice</i>,
    vol. 151, 106018, Elsevier BV, 2024, doi:<a href="https://doi.org/10.1016/j.conengprac.2024.106018">10.1016/j.conengprac.2024.106018</a>.
  short: B. Oppeneiger, L. Lanza, M. Schell, D. Dennstädt, M. Schaller, B. Zamzow,
    T. Berger, K. Worthmann, Control Engineering Practice 151 (2024).
date_created: 2026-01-05T20:49:50Z
date_updated: 2026-01-05T20:58:18Z
doi: 10.1016/j.conengprac.2024.106018
intvolume: '       151'
language:
- iso: eng
publication: Control Engineering Practice
publication_identifier:
  issn:
  - 0967-0661
publication_status: published
publisher: Elsevier BV
status: public
title: Model predictive control of a magnetic levitation system with prescribed output
  tracking performance
type: journal_article
user_id: '98033'
volume: 151
year: '2024'
...
---
_id: '63473'
article_number: '105892'
author:
- first_name: Lukas
  full_name: Lanza, Lukas
  last_name: Lanza
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
- first_name: Philipp
  full_name: Schmitz, Philipp
  last_name: Schmitz
- first_name: Gökçen Devlet
  full_name: Şen, Gökçen Devlet
  last_name: Şen
- first_name: Stephan
  full_name: Trenn, Stephan
  last_name: Trenn
- first_name: Manuel
  full_name: Schaller, Manuel
  last_name: Schaller
citation:
  ama: Lanza L, Dennstädt D, Worthmann K, et al. Sampled-data funnel control and its
    use for safe continual learning. <i>Systems &#38;amp; Control Letters</i>. 2024;192.
    doi:<a href="https://doi.org/10.1016/j.sysconle.2024.105892">10.1016/j.sysconle.2024.105892</a>
  apa: Lanza, L., Dennstädt, D., Worthmann, K., Schmitz, P., Şen, G. D., Trenn, S.,
    &#38; Schaller, M. (2024). Sampled-data funnel control and its use for safe continual
    learning. <i>Systems &#38;amp; Control Letters</i>, <i>192</i>, Article 105892.
    <a href="https://doi.org/10.1016/j.sysconle.2024.105892">https://doi.org/10.1016/j.sysconle.2024.105892</a>
  bibtex: '@article{Lanza_Dennstädt_Worthmann_Schmitz_Şen_Trenn_Schaller_2024, title={Sampled-data
    funnel control and its use for safe continual learning}, volume={192}, DOI={<a
    href="https://doi.org/10.1016/j.sysconle.2024.105892">10.1016/j.sysconle.2024.105892</a>},
    number={105892}, journal={Systems &#38;amp; Control Letters}, publisher={Elsevier
    BV}, author={Lanza, Lukas and Dennstädt, Dario and Worthmann, Karl and Schmitz,
    Philipp and Şen, Gökçen Devlet and Trenn, Stephan and Schaller, Manuel}, year={2024}
    }'
  chicago: Lanza, Lukas, Dario Dennstädt, Karl Worthmann, Philipp Schmitz, Gökçen
    Devlet Şen, Stephan Trenn, and Manuel Schaller. “Sampled-Data Funnel Control and
    Its Use for Safe Continual Learning.” <i>Systems &#38;amp; Control Letters</i>
    192 (2024). <a href="https://doi.org/10.1016/j.sysconle.2024.105892">https://doi.org/10.1016/j.sysconle.2024.105892</a>.
  ieee: 'L. Lanza <i>et al.</i>, “Sampled-data funnel control and its use for safe
    continual learning,” <i>Systems &#38;amp; Control Letters</i>, vol. 192, Art.
    no. 105892, 2024, doi: <a href="https://doi.org/10.1016/j.sysconle.2024.105892">10.1016/j.sysconle.2024.105892</a>.'
  mla: Lanza, Lukas, et al. “Sampled-Data Funnel Control and Its Use for Safe Continual
    Learning.” <i>Systems &#38;amp; Control Letters</i>, vol. 192, 105892, Elsevier
    BV, 2024, doi:<a href="https://doi.org/10.1016/j.sysconle.2024.105892">10.1016/j.sysconle.2024.105892</a>.
  short: L. Lanza, D. Dennstädt, K. Worthmann, P. Schmitz, G.D. Şen, S. Trenn, M.
    Schaller, Systems &#38;amp; Control Letters 192 (2024).
date_created: 2026-01-05T20:50:03Z
date_updated: 2026-01-05T20:57:40Z
doi: 10.1016/j.sysconle.2024.105892
intvolume: '       192'
language:
- iso: eng
publication: Systems &amp; Control Letters
publication_identifier:
  issn:
  - 0167-6911
publication_status: published
publisher: Elsevier BV
status: public
title: Sampled-data funnel control and its use for safe continual learning
type: journal_article
user_id: '98033'
volume: 192
year: '2024'
...
---
_id: '63471'
author:
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: Lukas
  full_name: Lanza, Lukas
  last_name: Lanza
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
citation:
  ama: 'Dennstädt D, Lanza L, Worthmann K. On Model Predictive Control with Sampled-Data
    Input for Output Tracking with Prescribed Performance. In: <i>2024 European Control
    Conference (ECC)</i>. IEEE; 2024. doi:<a href="https://doi.org/10.23919/ecc64448.2024.10590848">10.23919/ecc64448.2024.10590848</a>'
  apa: Dennstädt, D., Lanza, L., &#38; Worthmann, K. (2024). On Model Predictive Control
    with Sampled-Data Input for Output Tracking with Prescribed Performance. <i>2024
    European Control Conference (ECC)</i>. <a href="https://doi.org/10.23919/ecc64448.2024.10590848">https://doi.org/10.23919/ecc64448.2024.10590848</a>
  bibtex: '@inproceedings{Dennstädt_Lanza_Worthmann_2024, title={On Model Predictive
    Control with Sampled-Data Input for Output Tracking with Prescribed Performance},
    DOI={<a href="https://doi.org/10.23919/ecc64448.2024.10590848">10.23919/ecc64448.2024.10590848</a>},
    booktitle={2024 European Control Conference (ECC)}, publisher={IEEE}, author={Dennstädt,
    Dario and Lanza, Lukas and Worthmann, Karl}, year={2024} }'
  chicago: Dennstädt, Dario, Lukas Lanza, and Karl Worthmann. “On Model Predictive
    Control with Sampled-Data Input for Output Tracking with Prescribed Performance.”
    In <i>2024 European Control Conference (ECC)</i>. IEEE, 2024. <a href="https://doi.org/10.23919/ecc64448.2024.10590848">https://doi.org/10.23919/ecc64448.2024.10590848</a>.
  ieee: 'D. Dennstädt, L. Lanza, and K. Worthmann, “On Model Predictive Control with
    Sampled-Data Input for Output Tracking with Prescribed Performance,” 2024, doi:
    <a href="https://doi.org/10.23919/ecc64448.2024.10590848">10.23919/ecc64448.2024.10590848</a>.'
  mla: Dennstädt, Dario, et al. “On Model Predictive Control with Sampled-Data Input
    for Output Tracking with Prescribed Performance.” <i>2024 European Control Conference
    (ECC)</i>, IEEE, 2024, doi:<a href="https://doi.org/10.23919/ecc64448.2024.10590848">10.23919/ecc64448.2024.10590848</a>.
  short: 'D. Dennstädt, L. Lanza, K. Worthmann, in: 2024 European Control Conference
    (ECC), IEEE, 2024.'
date_created: 2026-01-05T20:49:26Z
date_updated: 2026-01-05T20:59:59Z
doi: 10.23919/ecc64448.2024.10590848
language:
- iso: eng
publication: 2024 European Control Conference (ECC)
publication_status: published
publisher: IEEE
status: public
title: On Model Predictive Control with Sampled-Data Input for Output Tracking with
  Prescribed Performance
type: conference
user_id: '98033'
year: '2024'
...
---
_id: '35998'
author:
- first_name: Thomas
  full_name: Berger, Thomas
  id: '77457'
  last_name: Berger
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
citation:
  ama: Berger T, Dennstädt D. Funnel PMC with feasibility constraints for nonlinear
    systems with arbitrary relative degree. <i>IEEE Control  Systems Letters</i>.
    2022;6:2804-2809.
  apa: Berger, T., &#38; Dennstädt, D. (2022). Funnel PMC with feasibility constraints
    for nonlinear systems with arbitrary relative degree. <i>IEEE Control  Systems
    Letters</i>, <i>6</i>, 2804–2809.
  bibtex: '@article{Berger_Dennstädt_2022, title={Funnel PMC with feasibility constraints
    for nonlinear systems with arbitrary relative degree}, volume={6}, journal={IEEE
    Control  Systems Letters}, author={Berger, Thomas and Dennstädt, Dario}, year={2022},
    pages={2804–2809} }'
  chicago: 'Berger, Thomas, and Dario Dennstädt. “Funnel PMC with Feasibility Constraints
    for Nonlinear Systems with Arbitrary Relative Degree.” <i>IEEE Control  Systems
    Letters</i> 6 (2022): 2804–9.'
  ieee: T. Berger and D. Dennstädt, “Funnel PMC with feasibility constraints for nonlinear
    systems with arbitrary relative degree,” <i>IEEE Control  Systems Letters</i>,
    vol. 6, pp. 2804–2809, 2022.
  mla: Berger, Thomas, and Dario Dennstädt. “Funnel PMC with Feasibility Constraints
    for Nonlinear Systems with Arbitrary Relative Degree.” <i>IEEE Control  Systems
    Letters</i>, vol. 6, 2022, pp. 2804–09.
  short: T. Berger, D. Dennstädt, IEEE Control  Systems Letters 6 (2022) 2804–2809.
date_created: 2023-01-11T10:52:02Z
date_updated: 2023-01-12T12:27:34Z
intvolume: '         6'
language:
- iso: eng
page: 2804-2809
publication: IEEE Control  Systems Letters
status: public
title: Funnel PMC with feasibility constraints for nonlinear systems with arbitrary
  relative degree
type: journal_article
user_id: '77457'
volume: 6
year: '2022'
...
---
_id: '35918'
author:
- first_name: Thomas
  full_name: Berger, Thomas
  id: '77457'
  last_name: Berger
- first_name: Dario
  full_name: Dennstädt, Dario
  id: '98033'
  last_name: Dennstädt
- first_name: Achim
  full_name: Ilchmann, Achim
  last_name: Ilchmann
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
citation:
  ama: Berger T, Dennstädt D, Ilchmann A, Worthmann K. Funnel MPC for nonlinear systems
    with relative degree one. <i>SIAM Journal on Control and Optimization</i>. 2022;60(6):3358-3383.
  apa: Berger, T., Dennstädt, D., Ilchmann, A., &#38; Worthmann, K. (2022). Funnel
    MPC for nonlinear systems with relative degree one. <i>SIAM Journal on Control
    and Optimization</i>, <i>60</i>(6), 3358–3383.
  bibtex: '@article{Berger_Dennstädt_Ilchmann_Worthmann_2022, title={Funnel MPC for
    nonlinear systems with relative degree one}, volume={60}, number={6}, journal={SIAM
    Journal on Control and Optimization}, author={Berger, Thomas and Dennstädt, Dario
    and Ilchmann, Achim and Worthmann, Karl}, year={2022}, pages={3358–3383} }'
  chicago: 'Berger, Thomas, Dario Dennstädt, Achim Ilchmann, and Karl Worthmann. “Funnel
    MPC for Nonlinear Systems with Relative Degree One.” <i>SIAM Journal on Control
    and Optimization</i> 60, no. 6 (2022): 3358–83.'
  ieee: T. Berger, D. Dennstädt, A. Ilchmann, and K. Worthmann, “Funnel MPC for nonlinear
    systems with relative degree one,” <i>SIAM Journal on Control and Optimization</i>,
    vol. 60, no. 6, pp. 3358–3383, 2022.
  mla: Berger, Thomas, et al. “Funnel MPC for Nonlinear Systems with Relative Degree
    One.” <i>SIAM Journal on Control and Optimization</i>, vol. 60, no. 6, 2022, pp.
    3358–83.
  short: T. Berger, D. Dennstädt, A. Ilchmann, K. Worthmann, SIAM Journal on Control
    and Optimization 60 (2022) 3358–3383.
date_created: 2023-01-11T10:40:02Z
date_updated: 2023-06-22T05:15:46Z
intvolume: '        60'
issue: '6'
language:
- iso: eng
page: 3358-3383
publication: SIAM Journal on Control and Optimization
status: public
title: Funnel MPC for nonlinear systems with relative degree one
type: journal_article
user_id: '77457'
volume: 60
year: '2022'
...
