Sample- and Computationally Efficient Data-Driven Predictive Control

authored by

Mohammad Salahaldeen Ahmad Alsalti, Manuel Barkey, Victor Gabriel Lopez Mejia, Matthias A. Müller

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.

Organisation(s)

Institute of Automatic Control

Type

Conference contribution

Pages

84-89

No. of pages

6

Publication date

2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Control and Optimization, Modelling and Simulation

Electronic version(s)

https://doi.org/10.48550/arXiv.2309.11238 (Access: Open)
https://doi.org/10.23919/ECC64448.2024.10591022 (Access: Closed)