Many phenomena arising in real-world applications are inherently nonlinear. In our research, we develop tools and methods that can be used for the analysis, estimation and control of such nonlinear systems. Examples of our past and current research in this area include the following topics:
- Systems theoretic properties of nonlinear systems with inputs and outputs, such as input-to-state stability or dissipativity as well as their connection to optimal control.
- Controllability properties of nonlinear systems.
- State estimation for nonlinear systems. Here, we in particular focus on optimization-based state estimation, where the current system state is computed by solving an optimization problem using past input and observed output sequences.
SELECTED PUBLICATIONS
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(2020): A nonlinear model predictive control framework using reference generic terminal ingredients, IEEE Transactions on Automatic Control, 2020, 65, 3576-3583
DOI: 10.1109/TAC.2019.2949350 -
(2018): Robust Global Exponential Stability for Moving Horizon Estimation, Proc. 57th IEEE Conf. Decision and Control (CDC), pp. 3477-3482.
DOI: 10.1109/CDC.2018.8619617 -
(2017): Nonlinear moving horizon estimation in the presence of bounded disturbances, Automatica, vol. 79, pp. 306 - 314.
DOI: 10.1016/j.automatica.2017.01.033 -
(2016): On the relation between strict dissipativity and turnpike properties, System & Control Letters, vol. 90, pp. 45-53.
DOI: 10.1016/j.sysconle.2016.01.003 -
(2015): Norm-controllability of nonlinear systems, IEEE Trans. Automat. Control, vol. 60, no. 7, pp. 1825-1840.
DOI: 10.1109/TAC.2015.2394953
SELECTED PROJECTS
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Robust stability and suboptimality in nonlinear moving horizon estimation - From conceptual to practically relevant guaranteesLeaders: Prof. Dr.-Ing. Matthias MüllerTeam:Year: 2020Sponsors: Deutsche Forschungsgemeinschaft (DFG) - 426459964Lifespan: 2020 - 2023
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Cont4Med - Estimation and control under limited information with application to biomedical systemsLeaders: Prof. Dr.-Ing. Matthias MüllerTeam:Year: 2021Sponsors: 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).Lifespan: 2021 - 2025
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