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Robust and efficient data-driven predictive control

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OriginalspracheEnglisch
Seitenumfang17
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 27 Sept. 2024

Abstract

We propose a robust and efficient data-driven predictive control (eDDPC) scheme which is more sample efficient (requires less offline data) compared to existing schemes, and is also computationally efficient. This is done by leveraging an alternative data-based representation of the trajectories of linear time-invariant (LTI) systems. The proposed scheme relies only on using (short and potentially irregularly measured) noisy input-output data, the amount of which is independent of the prediction horizon. To account for measurement noise, we provide a novel result that quantifies the uncertainty between the true (unknown) restricted behavior of the system and the estimated one from noisy data. Furthermore, we show that the robust eDDPC scheme is recursively feasible and that the resulting closed-loop system is practically stable. Finally, we compare the performance of this scheme to existing ones on a case study of a four tank system.

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Robust and efficient data-driven predictive control. / Alsalti, Mohammad Salahaldeen Ahmad; Barkey, Manuel; Lopez Mejia, Victor Gabriel et al.
2024.

Publikation: Arbeitspapier/PreprintArbeitspapier/Diskussionspapier

Alsalti MSA, Barkey M, Lopez Mejia VG, Müller MA. Robust and efficient data-driven predictive control. 2024 Sep 27. Epub 2024 Sep 27. doi: 10.48550/arXiv.2409.18867
Alsalti, Mohammad Salahaldeen Ahmad ; Barkey, Manuel ; Lopez Mejia, Victor Gabriel et al. / Robust and efficient data-driven predictive control. 2024.
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T1 - Robust and efficient data-driven predictive control

AU - Alsalti, Mohammad Salahaldeen Ahmad

AU - Barkey, Manuel

AU - Lopez Mejia, Victor Gabriel

AU - Müller, Matthias A.

PY - 2024/9/27

Y1 - 2024/9/27

N2 - We propose a robust and efficient data-driven predictive control (eDDPC) scheme which is more sample efficient (requires less offline data) compared to existing schemes, and is also computationally efficient. This is done by leveraging an alternative data-based representation of the trajectories of linear time-invariant (LTI) systems. The proposed scheme relies only on using (short and potentially irregularly measured) noisy input-output data, the amount of which is independent of the prediction horizon. To account for measurement noise, we provide a novel result that quantifies the uncertainty between the true (unknown) restricted behavior of the system and the estimated one from noisy data. Furthermore, we show that the robust eDDPC scheme is recursively feasible and that the resulting closed-loop system is practically stable. Finally, we compare the performance of this scheme to existing ones on a case study of a four tank system.

AB - We propose a robust and efficient data-driven predictive control (eDDPC) scheme which is more sample efficient (requires less offline data) compared to existing schemes, and is also computationally efficient. This is done by leveraging an alternative data-based representation of the trajectories of linear time-invariant (LTI) systems. The proposed scheme relies only on using (short and potentially irregularly measured) noisy input-output data, the amount of which is independent of the prediction horizon. To account for measurement noise, we provide a novel result that quantifies the uncertainty between the true (unknown) restricted behavior of the system and the estimated one from noisy data. Furthermore, we show that the robust eDDPC scheme is recursively feasible and that the resulting closed-loop system is practically stable. Finally, we compare the performance of this scheme to existing ones on a case study of a four tank system.

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