Details
| Original language | English |
|---|---|
| Title of host publication | 2021 60th IEEE Conference on Decision and Control (CDC) |
| Pages | 1484-1489 |
| Number of pages | 6 |
| ISBN (electronic) | 978-1-6654-3659-5 |
| Publication status | Published - 2021 |
| Event | 2021 60th IEEE Conference on Decision and Control (CDC) - Duration: 14 Dec 2021 → 17 Dec 2021 |
Publication series
| Name | Proceedings of the IEEE Conference on Decision and Control |
|---|---|
| Volume | 2021-December |
| ISSN (Print) | 0743-1546 |
| ISSN (electronic) | 2576-2370 |
Abstract
Keywords
- Data-driven control, Nonlinear systems
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Engineering(all)
- Control and Systems Engineering
- Mathematics(all)
- Modelling and Simulation
Cite this
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2021 60th IEEE Conference on Decision and Control (CDC). 2021. p. 1484-1489 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Data-Based System Analysis and Control of Flat Nonlinear Systems
AU - Alsalti, Mohammad Salahaldeen Ahmad
AU - Berberich, Julian
AU - Lopez Mejia, Victor Gabriel
AU - Allgöwer, Frank
AU - Müller, Matthias A.
N1 - Funding Information: 1Leibniz University Hannover, Institute of Automatic Control, 30167 Hannover, Germany. E-mail:{alsalti, mueller, lopez}@irt.uni-hannover.de 2University of Stuttgart, Institute for Systems Theory and Automatic Control, 70550 Stuttgart, Germany. E-mail: {julian.berberich, frank.allgower}@ist.uni-stuttgart.de This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948679). This work was also funded by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy - EXC 2075 - 390740016. The authors thank the International Max Planck Research School for Intelligent Systems (IMPRS-IS) for supporting Julian Berberich.
PY - 2021
Y1 - 2021
N2 - Willems et al. showed that all input-output trajectories of a discrete-time linear time-invariant system can be obtained using linear combinations of time shifts of a single, persistently exciting, input-output trajectory of that system. In this paper, we extend this result to the class of discrete-time single-input single-output flat nonlinear systems. We propose a data-based parameterization of all trajectories using only input-output data. Further, we use this parameterization to solve the data-based simulation and output-matching control problems for the unknown system without explicitly identifying a model. Finally, we illustrate the main results with numerical examples.
AB - Willems et al. showed that all input-output trajectories of a discrete-time linear time-invariant system can be obtained using linear combinations of time shifts of a single, persistently exciting, input-output trajectory of that system. In this paper, we extend this result to the class of discrete-time single-input single-output flat nonlinear systems. We propose a data-based parameterization of all trajectories using only input-output data. Further, we use this parameterization to solve the data-based simulation and output-matching control problems for the unknown system without explicitly identifying a model. Finally, we illustrate the main results with numerical examples.
KW - Data-driven control
KW - Nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=85122448945&partnerID=8YFLogxK
U2 - 10.1109/CDC45484.2021.9683327
DO - 10.1109/CDC45484.2021.9683327
M3 - Conference contribution
SN - 978-1-6654-3658-8
SN - 978-1-6654-3660-1
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1484
EP - 1489
BT - 2021 60th IEEE Conference on Decision and Control (CDC)
T2 - 2021 60th IEEE Conference on Decision and Control (CDC)
Y2 - 14 December 2021 through 17 December 2021
ER -