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Rendezvous and formation of spacecrafts based on null controllability with vanishing energy

Research Project

Project/Area Number 19560785
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Aerospace engineering
Research InstitutionKyoto University

Principal Investigator

ICHIKAWA Akira  Kyoto University, 大学院・工学研究科, 教授 (00115437)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords相対軌道 / ランデブ / フォーメイション / 原点可制御性 / 最適レギュータ / 円軌道 / 楕円軌道 / インパルス制御 / 最適レギュレータ / 姿勢制御 / 宇宙機 / インパルス / 零収束エネルギー原点可制御性 / Hill方程式
Research Abstract

2機の人工衛星の相対軌道を用いて、地球周回円軌道上のフォーメイション問題を定式化し、3インパルスによる最適解を求めた。さらに、相対運動を表す方程式の性質を利用し、燃料消費の少ない準最適なフィードバック制御の設計法を提案した。この設計法を、楕円軌道上のフォーメイション問題及び姿勢運動のフォーメイション問題に拡張し、燃料消費の少ないフィードバック制御が設計できることを示した。また、地球・月・宇宙機の円制限3体問題への拡張も行った。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (8 results)

All 2009 2008 2007

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (2 results)

  • [Journal Article] Periodic orbits of nonlinear relative dynamics and satellite formation2009

    • Author(s)
      Mai Bando, Akira Ichikawa
    • Journal Title

      Journal of Guidance, Control, and Dynamics 32

    • NAID

      120007044575

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Rotational motion control by feedback with minimum L1-norm2009

    • Author(s)
      Minoru Majima, Akira Ichikawa
    • Journal Title

      Journal of Guidance, Control, and Dynamics 32

      Pages: 635-643

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Rotational motion control by feedback with minimum L1 norm2009

    • Author(s)
      Minoru Majima, Akira Ichikawa
    • Journal Title

      Journal of Guidance, Control, and Dynamics 32

      Pages: 635-642

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal impulsive relative orbit transfer along a circular orbit2008

    • Author(s)
      Yoshihiro Ichimura, Akira Ichikawa
    • Journal Title

      Journal of Guidance, Control, and Dynamics 31

      Pages: 1014-1027

    • Related Report
      2008 Annual Research Report 2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Minimum energy control and its applications2008

    • Author(s)
      Akira Ichikawa
    • Journal Title

      International Journal of Pure and Applied Mathematics 42

      Pages: 475-480

    • Related Report
      2008 Annual Research Report 2008 Final Research Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal impulsive relative orbit transfer along a circular orbit2008

    • Author(s)
      Yoshihiro Ichimura and Akira Ichikawa
    • Journal Title

      Journal of Guidance, Control, and Dynamics 31

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Null controllability with vanishing energy for discrete-time systems in Hilbert space2008

    • Author(s)
      Akira Ichikawa
    • Organizer
      47th IEEE Conference on Decision and Control
    • Place of Presentation
      Cancun, Mexico
    • Year and Date
      2008-12-10
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Minimum energy control and its applications2007

    • Author(s)
      Akira Ichikawa
    • Organizer
      4th International Conference of Applied Mathematics and Computing
    • Place of Presentation
      Plovdiv, Bulgaria
    • Year and Date
      2007-08-14
    • Related Report
      2008 Final Research Report 2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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