{
  "abstract": "This paper presents a constrained iterative Linear Quadratic Regulator (Box-iLQR) method for nonlinear aerospace optimal-control problems with bounded states and controls. Logarithmic barrier functions are used with a two-fold objective: the barrier parameter is reduced toward zero to recover the constrained optimal trajectory, while a finite barrier is retained to construct a smooth, constraint-aware feedback policy for closed-loop operation. The method is demonstrated on spacecraft attitude control, a minimum-fuel planar orbit transfer, and an L2 to L2 halo-orbit transfer. Box-iLQR respects the imposed constraints and produces nominal trajectories together with time-varying feedback policies. Closed-loop simulations under disturbance, measurement noise, and control uncertainty show substantial reductions in terminal error. These results demonstrate that Box-iLQR provides both high-accuracy constrained trajectory optimization and practical constraint-aware feedback within a single framework.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32075",
  "author_total": 2,
  "authors": [
    {
      "name": "Abhijeet"
    },
    {
      "name": "Suman Chakravorty"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1cza3ne91heq8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32075",
  "fulltext_url": null,
  "id": "1cza3ne91heq8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32075",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2202|Spacecraft Dynamics and Control"
    ]
  ],
  "openalex": "W7214776454",
  "pdf_url": "https://arxiv.org/pdf/2609.32075",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1cza3ne91heq8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32075",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32075"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "An Efficient iLQR Algorithm for Optimal Control with Bounded States and Inputs: Application to Spacecraft Maneuvers",
  "title_text": "An Efficient iLQR Algorithm for Optimal Control with Bounded States and Inputs: Application to Spacecraft Maneuvers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/1cza3ne91heq8",
  "venue": "arXiv",
  "versions": []
}