Data-Based System Analysis and Control of Flat Nonlinear Systems

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

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  • Universität Stuttgart
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OriginalspracheEnglisch
Titel des Sammelwerks2021 60th IEEE Conference on Decision and Control (CDC)
Seiten1484-1489
Seitenumfang6
ISBN (elektronisch)978-1-6654-3659-5
PublikationsstatusVeröffentlicht - 2021
Veranstaltung2021 60th IEEE Conference on Decision and Control (CDC) -
Dauer: 14 Dez. 202117 Dez. 2021

Publikationsreihe

NameProceedings of the IEEE Conference on Decision and Control
Band2021-December
ISSN (Print)0743-1546
ISSN (elektronisch)2576-2370

Abstract

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.

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Data-Based System Analysis and Control of Flat Nonlinear Systems. / Alsalti, Mohammad Salahaldeen Ahmad; Berberich, Julian; Lopez Mejia, Victor Gabriel et al.
2021 60th IEEE Conference on Decision and Control (CDC). 2021. S. 1484-1489 (Proceedings of the IEEE Conference on Decision and Control; Band 2021-December).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Alsalti, MSA, Berberich, J, Lopez Mejia, VG, Allgöwer, F & Müller, MA 2021, Data-Based System Analysis and Control of Flat Nonlinear Systems. in 2021 60th IEEE Conference on Decision and Control (CDC). Proceedings of the IEEE Conference on Decision and Control, Bd. 2021-December, S. 1484-1489, 2021 60th IEEE Conference on Decision and Control (CDC), 14 Dez. 2021. https://doi.org/10.1109/CDC45484.2021.9683327
Alsalti, M. S. A., Berberich, J., Lopez Mejia, V. G., Allgöwer, F., & Müller, M. A. (2021). Data-Based System Analysis and Control of Flat Nonlinear Systems. In 2021 60th IEEE Conference on Decision and Control (CDC) (S. 1484-1489). (Proceedings of the IEEE Conference on Decision and Control; Band 2021-December). https://doi.org/10.1109/CDC45484.2021.9683327
Alsalti MSA, Berberich J, Lopez Mejia VG, Allgöwer F, Müller MA. Data-Based System Analysis and Control of Flat Nonlinear Systems. in 2021 60th IEEE Conference on Decision and Control (CDC). 2021. S. 1484-1489. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC45484.2021.9683327
Alsalti, Mohammad Salahaldeen Ahmad ; Berberich, Julian ; Lopez Mejia, Victor Gabriel et al. / Data-Based System Analysis and Control of Flat Nonlinear Systems. 2021 60th IEEE Conference on Decision and Control (CDC). 2021. S. 1484-1489 (Proceedings of the IEEE Conference on Decision and Control).
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abstract = "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.",
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author = "Alsalti, {Mohammad Salahaldeen Ahmad} and Julian Berberich and {Lopez Mejia}, {Victor Gabriel} and Frank Allg{\"o}wer and M{\"u}ller, {Matthias A.}",
note = "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{\textquoteright}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{\textquoteright}s Excellence Strategy - EXC 2075 - 390740016. The authors thank the International Max Planck Research School for Intelligent Systems (IMPRS-IS) for supporting Julian Berberich.; 2021 60th IEEE Conference on Decision and Control (CDC) ; Conference date: 14-12-2021 Through 17-12-2021",
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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

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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

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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 -

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