Frequency-Domain Data-Driven Predictive Control
<|reference_start|>Frequency-Domain Data-Driven Predictive Control: In this paper, we propose a data-driven predictive control scheme based on measured frequency-domain data of the plant. This novel scheme complements the well-known data-driven predictive control (DeePC) approach based on time series data. To develop this new frequency-domain data-driven predictive control (FreePC) scheme, we introduce a novel version of Willems' fundamental lemma based on frequency-domain data. By exploiting frequency-domain data, we allow recent direct data-driven (predictive) control methodologies to benefit from the available expertise and techniques for non-parametric frequency-domain identification in academia and industry. We prove that, under appropriate conditions, the new FreePC scheme is equivalent to the corresponding DeePC scheme. The strengths of FreePC are demonstrated in a numerical case study.<|reference_end|>
@article{meijer2024frequency-domain,
    title={Frequency-Domain Data-Driven Predictive Control},
    author={T.J. Meijer, S.A.N. Nouwens, K.J.A. Scheres, V.S. Dolk, W.P.M.H.
  Heemels},
    journal={arXiv preprint arXiv:2406.12498},
    year={2024},
    doi={10.1016/j.ifacol.2024.09.014},
    archivePrefix={arXiv},
    eprint={2406.12498},
    primaryClass={eess.SY cs.SY}
}