Biomedical Engineering
We apply control theoretic concepts to biomedical systems in order to enhance the understanding of the underlying mechanisms and to improve treatment strategies. Research fields are the Pituitary-Thyroid feedback loop, retinal laser therapies, as well as human motor control and rehabilitation engineering.
Pituitary-Thyroid feedback loop
- Modeling of hyperthyroidism/hypothyroidism
- Development of model-based control strategies to improve medication
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IRT
Robotics
Control theory is one of the central methods required for modern robotics, which therefore represents one of the main control applications at our institute. Current research topics include real-time path planning with guaranteed collision avoidance using
- Circular Fields for obstacle avoidance
- Multi-Agent Framework for environment exploration
- Combination of Circular Fields with global planners or MPC
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IRT
Autonomous Driving
As autonomous vehicles (AV) are coming closer road admission, suitable methods to test AVs are in rising demand. Specifically, the behavior of an AV in specific traffic situations needs to be evaluated to address safety concerns. Model predictive control (MPC) is of particular interest for this purpose as the easy incorporation of constraints and the look-ahead of MPC allows to represent different traffic scenarios. This project aims to investigate suitable MPC appraoches to emulate a reactive environment for testing AVs in different scenarios.
Selected Publications
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(2025): Informed Circular Fields: A Global Reactive Obstacle Avoidance Framework for Robotic Manipulator, Frontiers in Robotics and AI, 2025, vol. 11
DOI: 10.3389/frobt.2024.1447351 -
(2025): Modeling and Predictive Control for the Treatment of Hyperthyroidism, 11th Vienna International Conference on Mathematical Modelling (MATHMOD 2025), IFAC-PapersOnLine, No. 1, vol. 59, pp. 235-240
DOI: 10.1016/j.ifacol.2025.03.041
arXiv: 2212.10096 -
(2025): Reactive 3D Motion Planning in Dynamic Environments Using Efficient Model Predictive Control via Circular Fields, 2025 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 5840-5847
DOI: 10.1109/IROS60139.2025.11247111 -
(2024): Motion Planning using Reactive Circular Fields: A 2-D Analysis of Collision Avoidance and Goal Convergence, IEEE Transactions on Automatic Control, 2024, vol. 69, no. 3, pp. 1552-1567
DOI: 10.1109/TAC.2023.3303168
arXiv: 2210.16106 -
(2024): Predictive Operation of Multi-Energy Systems in Sequential Markets: A Case Study, 2024 European Control Conference (ECC), Stockholm, Sweden. pp. 1509-1515
DOI: 10.23919/ECC64448.2024.10591115 -
(2024): Model Predictive Temperature Control for Retinal Laser Treatments, Translational Vision Science & Technology September 2024, vol. 13, no. 9, p. 28
DOI: 10.1167/tvst.13.9.28 -
(2023): State and Parameter Estimation for Retinal Laser Treatment, IEEE Transactions on Control Systems Technology, vol. 31, iss. 3, pp. 1366-1378
DOI: 10.1109/TCST.2022.3228442
arXiv: 2203.12452 -
(2022): Mathematical Modeling and Simulation of Thyroid Homeostasis: Implications for the Allan-Herndon-Dudley Syndrome, Frontiers in Endocrinology, Vol. 13, No. 882788
DOI: 10.3389/fendo.2022.882788
Selected Projects
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Temperature controlled retinal laser treatmentLed by: Prof. Dr.-Ing. Matthias MüllerTeam:Year: 2020Funding: Deutsche Forschungsgemeinschaft (DFG) - 430154635Duration: 2020 - 2023
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Cont4Med - Estimation and control under limited information with application to biomedical systemsLed by: Prof. Dr.-Ing. Matthias MüllerTeam:Year: 2021Funding: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948679).Duration: 2021 - 2025
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Multi-vehicle trajectory planning using MPCLed by: Prof. Dr.-Ing. Matthias MüllerTeam:Year: 2021Funding: Industrial ProjectDuration: 2021 - 2025
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roboterfabrikLed by: Matthias Müller, Thomas Seel, Torsten LilgeTeam:Year: 2023Funding: Region HannoverDuration: 2023-2025