Frequency-Domain Data-Driven Predictive Control
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Meijer, T. J. Nouwens, S. A. N. Scheres, K. J. A. Dolk, V. S. Heemels, W. P. M. H. |
| author_facet | Meijer, T. J. Nouwens, S. A. N. Scheres, K. J. A. Dolk, V. S. Heemels, W. P. M. H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12498 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Frequency-Domain Data-Driven Predictive Control Meijer, T. J. Nouwens, S. A. N. Scheres, K. J. A. Dolk, V. S. Heemels, W. P. M. H. Systems and 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. |
| title | Frequency-Domain Data-Driven Predictive Control |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2406.12498 |