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Data-Driven Synthesis of Robust Positively Invariant Sets: From State Feedback to Output Feedback — arXiv:2608.23412

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.23412
License (as archived): CC0-1.0
Archived: 2026-10-18T10:09:20.111Z
SHA-256 of the archived text: 77cb6c155b35547d2aca40b711019833555917a6f006c4dfbb24ec1ff5a545b1
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How to cite

Data-Driven Synthesis of Robust Positively Invariant Sets: From State Feedback to Output Feedback — arXiv:2608.23412 — arXiv (en), https://arxiv.org/abs/2608.23412 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_793da46f2016 (Metraipolis archive dc_793da46f2016, sha256 77cb6c155b35547d2aca40b711019833555917a6f006c4dfbb24ec1ff5a545b1)

BibTeX

@misc{dc793da46f2016,
  title = {Data-Driven Synthesis of Robust Positively Invariant Sets: From State Feedback to Output Feedback — arXiv:2608.23412},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.23412},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_793da46f2016; sha256 77cb6c155b35547d2aca40b711019833555917a6f006c4dfbb24ec1ff5a545b1},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.23412. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

This paper develops a direct data-driven framework for robust positively invariant (RPI) set synthesis for unknown linear time-invariant systems under state-feedback and observer-based output-feedback scenarios. The feedback and observer gains, along with the RPI sets, are directly synthesized from noisy offline data by solving semidefinite programs (SDPs), avoiding intermediate model identification or explicit model-uncertainty set construction. In the state-feedback case, a linear-quadratic (LQ)-type feedback gain is first computed, and an ellipsoidal RPI set is then synthesized for the resulting closed-loop dynamics. In the observer-based output-feedback case, offline data are used to compute the observer gain and the corresponding RPI set for the system state through an augmented-state formulation. This design provides a unified method for invariant-set computation in both scenarios, and the direct data-driven formulation avoids the explicit construction and propagation of an intermediate model-uncertainty set. Numerical examples illustrate the effectiveness of the proposed method.

Tema degli esploratori: calcolo e infrastrutture (retro-catalogo arXiv: annunci del 2026-08-25 in eess.SY).
Categorie arXiv: Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2608.23412 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-18T10:08:09.903Z dalla pagina https://arxiv.org/catchup/eess.SY/2026-08-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).