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arXiv · 2406.12498

Frequency-Domain Data-Driven Predictive Control

T. J. Meijer·S. A. N. Nouwens·K. J. A. Scheres·V. S. Dolk·W. P. M. H. Heemels
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Abstract

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.

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T. J. Meijer, S. A. N. Nouwens, K. J. A. Scheres, V. S. Dolk, W. P. M. H. Heemels. 2024-06-18. Frequency-Domain Data-Driven Predictive Control. https://doi.org/10.1016/j.ifacol.2024.09.014

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