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Bibliographic Details
Main Authors: Zhang, Kai, Zuliani, Riccardo, Balta, Efe C., Lygeros, John
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.11883
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author Zhang, Kai
Zuliani, Riccardo
Balta, Efe C.
Lygeros, John
author_facet Zhang, Kai
Zuliani, Riccardo
Balta, Efe C.
Lygeros, John
contents This work introduces the Data-Enabled Predictive iteRative Control (DeePRC) algorithm, a direct data-driven approach for iterative LTI systems. The DeePRC learns from previous iterations to improve its performance and achieves the optimal cost. By utilizing a tube-based variation of the DeePRC scheme, we propose a two-stage approach that enables safe active exploration using a left-kernel-based input disturbance design. This method generates informative trajectories to enrich the historical data, which extends the maximum achievable prediction horizon and leads to faster iteration convergence. In addition, we present an end-to-end formulation of the two-stage approach, integrating the disturbance design procedure into the planning phase. We showcase the effectiveness of the proposed algorithms on a numerical experiment.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11883
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Data-Enabled Predictive Iterative Control
Zhang, Kai
Zuliani, Riccardo
Balta, Efe C.
Lygeros, John
Systems and Control
This work introduces the Data-Enabled Predictive iteRative Control (DeePRC) algorithm, a direct data-driven approach for iterative LTI systems. The DeePRC learns from previous iterations to improve its performance and achieves the optimal cost. By utilizing a tube-based variation of the DeePRC scheme, we propose a two-stage approach that enables safe active exploration using a left-kernel-based input disturbance design. This method generates informative trajectories to enrich the historical data, which extends the maximum achievable prediction horizon and leads to faster iteration convergence. In addition, we present an end-to-end formulation of the two-stage approach, integrating the disturbance design procedure into the planning phase. We showcase the effectiveness of the proposed algorithms on a numerical experiment.
title Data-Enabled Predictive Iterative Control
topic Systems and Control
url https://arxiv.org/abs/2403.11883