{
  "abstract": "We consider steady-state optimization of nonlinear dynamical systems under time-varying stochastic operating conditions, where the objective is an expected-value function over the current operating-condition distribution, so that changes in the distribution induce a moving stochastic optimum. To address this problem, we propose stochastic sequential feedback optimization (S2FO), which combines projected feedback-gradient updates with sequential sensitivity estimates obtained by linearizing the plant at realized stochastic operating conditions. We analyze the closed-loop performance of S2FO through expected dynamic regret, instantaneous tracking in expectation, and almost-sure convergence under diminishing step sizes. We then apply the method to wind farm power maximization under time-varying stochastic inflow. Simulations on a benchmark layout and on a realistic offshore wind farm show that S2FO improves average power generation when persistent wake interactions are present, and that its advantage decreases as wind-direction variability increases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04055",
  "author_total": 2,
  "authors": [
    {
      "name": "Shijie Huang"
    },
    {
      "name": "Sergio Grammatico"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/82zwx3xvehq3m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04055",
  "fulltext_url": null,
  "id": "82zwx3xvehq3m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04055",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2208|Wind Turbine Control Systems"
    ]
  ],
  "openalex": "W7220724934",
  "pdf_url": "https://arxiv.org/pdf/2610.04055",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/82zwx3xvehq3m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04055",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04055"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Stochastic Sequential Feedback Optimization for Wind Farm Control under Time-Varying Inflow",
  "title_text": "Stochastic Sequential Feedback Optimization for Wind Farm Control under Time-Varying Inflow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/82zwx3xvehq3m",
  "venue": "arXiv",
  "versions": []
}