Sample- and Computationally Efficient Data-Driven Predictive Control

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

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OriginalspracheEnglisch
Titel des Sammelwerks2024 European Control Conference (ECC)
Seiten84-89
Seitenumfang6
ISBN (elektronisch)978-3-9071-4410-7
PublikationsstatusVeröffentlicht - 2024
Veranstaltung2024 European Control Conference (ECC) - Stockholm, Schweden
Dauer: 25 Juni 202428 Juni 2024

Abstract

Recently proposed data-driven predictive control schemes for LTI systems use non-parametric representations based on the image of a Hankel matrix of previously collected, persistently exciting, input-output data. Persistence of excitation necessitates that the data is sufficiently long and, hence, the computational complexity of the corresponding finite-horizon optimal control problem increases. In this paper, we propose an efficient data-driven predictive control (eDDPC) scheme which is both more sample efficient (requires less offline data) and computationally efficient (uses less decision variables) compared to existing schemes. This is done by leveraging an alternative data-based representation of the trajectories of LTI systems. We analytically and numerically compare the performance of this scheme to existing ones from the literature.

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Sample- and Computationally Efficient Data-Driven Predictive Control. / Alsalti, Mohammad Salahaldeen Ahmad; Barkey, Manuel; Lopez Mejia, Victor Gabriel et al.
2024 European Control Conference (ECC). 2024. S. 84-89.

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

Alsalti, MSA, Barkey, M, Lopez Mejia, VG & Müller, MA 2024, Sample- and Computationally Efficient Data-Driven Predictive Control. in 2024 European Control Conference (ECC). S. 84-89, 2024 European Control Conference (ECC), Stockholm, Schweden, 25 Juni 2024. https://doi.org/10.48550/arXiv.2309.11238, https://doi.org/10.23919/ECC64448.2024.10591022
Alsalti MSA, Barkey M, Lopez Mejia VG, Müller MA. Sample- and Computationally Efficient Data-Driven Predictive Control. in 2024 European Control Conference (ECC). 2024. S. 84-89 doi: 10.48550/arXiv.2309.11238, 10.23919/ECC64448.2024.10591022
Alsalti, Mohammad Salahaldeen Ahmad ; Barkey, Manuel ; Lopez Mejia, Victor Gabriel et al. / Sample- and Computationally Efficient Data-Driven Predictive Control. 2024 European Control Conference (ECC). 2024. S. 84-89
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AU - Alsalti, Mohammad Salahaldeen Ahmad

AU - Barkey, Manuel

AU - Lopez Mejia, Victor Gabriel

AU - Müller, Matthias A.

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N2 - Recently proposed data-driven predictive control schemes for LTI systems use non-parametric representations based on the image of a Hankel matrix of previously collected, persistently exciting, input-output data. Persistence of excitation necessitates that the data is sufficiently long and, hence, the computational complexity of the corresponding finite-horizon optimal control problem increases. In this paper, we propose an efficient data-driven predictive control (eDDPC) scheme which is both more sample efficient (requires less offline data) and computationally efficient (uses less decision variables) compared to existing schemes. This is done by leveraging an alternative data-based representation of the trajectories of LTI systems. We analytically and numerically compare the performance of this scheme to existing ones from the literature.

AB - Recently proposed data-driven predictive control schemes for LTI systems use non-parametric representations based on the image of a Hankel matrix of previously collected, persistently exciting, input-output data. Persistence of excitation necessitates that the data is sufficiently long and, hence, the computational complexity of the corresponding finite-horizon optimal control problem increases. In this paper, we propose an efficient data-driven predictive control (eDDPC) scheme which is both more sample efficient (requires less offline data) and computationally efficient (uses less decision variables) compared to existing schemes. This is done by leveraging an alternative data-based representation of the trajectories of LTI systems. We analytically and numerically compare the performance of this scheme to existing ones from the literature.

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