Sample- and computationally efficient data-driven predictive control
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929265389338624 |
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| author | Alsalti, Mohammad Barkey, Manuel Lopez, Victor G. Müller, Matthias A. |
| author_facet | Alsalti, Mohammad Barkey, Manuel Lopez, Victor G. Müller, Matthias A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11238 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sample- and computationally efficient data-driven predictive control Alsalti, Mohammad Barkey, Manuel Lopez, Victor G. Müller, Matthias A. Systems and Control Optimization and Control 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. |
| title | Sample- and computationally efficient data-driven predictive control |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2309.11238 |