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Controlled Excitation for Identification of Nonlinear Systems with Saturated Outputs — arXiv:2611.09188

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.09188
License (as archived): CC0-1.0
Archived: 2026-11-09T22:42:39.664Z
SHA-256 of the archived text: 9dc5df865cd1e55b60ed71946213aa0ed919a62e88e53ec8f56eca53d92d2bdd
Stable URL of this page: https://metraipolis.com/documento/dc_fc828443b314

How to cite

Controlled Excitation for Identification of Nonlinear Systems with Saturated Outputs — arXiv:2611.09188 — arXiv (en), https://arxiv.org/abs/2611.09188 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_fc828443b314 (Metraipolis archive dc_fc828443b314, sha256 9dc5df865cd1e55b60ed71946213aa0ed919a62e88e53ec8f56eca53d92d2bdd)

BibTeX

@misc{dcfc828443b314,
  title = {Controlled Excitation for Identification of Nonlinear Systems with Saturated Outputs — arXiv:2611.09188},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.09188},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_fc828443b314; sha256 9dc5df865cd1e55b60ed71946213aa0ed919a62e88e53ec8f56eca53d92d2bdd},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.09188. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We consider nonlinear systems whose measured output is the product of an unknown matrix and a known saturation function of the unmeasured state. Generating excitation that allows the matrix to be recovered from the output is challenging when the dynamics are largely unknown. We exploit saturation to construct this excitation. Under a geometric accessibility condition, we derive explicit open-loop controls that drive the state into regions where the saturation takes prescribed values. For componentwise saturations, this condition holds generically with as few as two independent control directions. The controls require no state measurement and only partial knowledge of the dynamics, with no information on the structure of its nonlinear part. The resulting regressor is known in advance, and the unknown matrix is recovered exactly by a closed-form regression. Under stronger structural assumptions and with sufficiently many independent outputs, an output feedback tracks prescribed reference trajectories within the unsaturated region to arbitrary accuracy and permits exact state recovery. Suitably chosen references then also enable exact identification of linearly parameterized (nonlinear) dynamics. We analyze robustness to measurement noise and illustrate the method numerically in the presence of both measurement and dynamical noise.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.OC, nuovi lavori del giorno).
Categorie arXiv: Systems and Control (eess.SY) ; Optimization and Control (math.OC).
Pagina del lavoro: https://arxiv.org/abs/2611.09188 — 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 2026-11-09T22:35:32.284Z dalla pagina https://arxiv.org/list/math.OC/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).