Sample- and Computationally Efficient Data-Driven Predictive Control

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Original languageEnglish
Title of host publication2024 European Control Conference (ECC)
Pages84-89
Number of pages6
ISBN (electronic)978-3-9071-4410-7
Publication statusPublished - 2024
Event2024 European Control Conference (ECC) - Stockholm, Sweden
Duration: 25 Jun 202428 Jun 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. p. 84-89.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer 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). pp. 84-89, 2024 European Control Conference (ECC), Stockholm, Sweden, 25 Jun 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. p. 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. pp. 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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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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