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
Retinal laser therapies
- Development of suitable models of heat diffusion during laser treatment
- Observer and control design for improved and more efficient treatment






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



Autonomous Driving
Model predictive control (MPC) is capable of incorporating constraints on the system and knowledge about the future behavior of the system or the environment in the control actions. This presents the opportunity to plan safe and foresighted trajectories. In our institute, we investigate among other things the verification of autonomous vehicles via traffic scenarios aided by MPC:
- Multi-vehicle trajectory planning
- Safety guarantees in presence of unknown traffic participants



Selected Publications
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(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 -
(2022): State and Parameter Estimation for Retinal Laser Treatment, IEEE Transactions on Control Systems Technology, pp. 1-13
DOI: 10.1109/TCST.2022.3228442
arXiv: 2203.12452 -
(2022): Optimal hormone replacement therapy in hypothyroidism - a model predictive control approach, Frontiers in Endocrinology, 13: 884018
DOI: 10.3389/fendo.2022.884018 -
(2021): Circular Fields and Predictive Multi-Agents for Online Global Trajectory Planning, IEEE Robotics and Automation Letters, 2021, 6, 2618-2625
DOI: 10.1109/LRA.2021.3061997 -
(2020): Modeling and parameter identification for real-time temperature controlled retinal laser therapies, at - Automatisierungstechnik, 2020, 68, 953 - 966
DOI: 10.1515/auto-2020-0074 -
(2018): Mathematical modeling of the pituitary-thyroid feedback loop: role of a TSH-T3-shunt and sensitivity analysis, Frontiers in Endocrinology, vol. 9, pp. 91.
DOI: 10.3389/fendo.2018.00091 -
(2018): Neuromuscular characterisation in Cerebral Palsy using hybrid Hill-type models on isometric contractions, Computers in Biology and Medicine, vol. 103, pp. 269-276.
DOI: 10.1016/j.compbiomed.2018.10.027
Selected Projects
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Temperature controlled retinal laser treatmentLed by: Prof. Dr.-Ing. Matthias MüllerTeam:Year: 2020Funding: Deutsche Forschungsgemeinschaft (DFG) - 430154635Duration: 2020 - 2021
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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 - 2024
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roboterfabrikLed by: Matthias Müller, Hans-Georg Jacob, Torsten LilgeTeam:Year: 2023Funding: Region HannoverDuration: 2023-2025