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

• Project/Area Number: 19560785
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Aerospace engineering
• Research Institution: Kyoto 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: ¥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。

Research Products

• [Journal Article] Periodic orbits of nonlinear relative dynamics and satellite formation (2009)
  • Author(s): Mai Bando, Akira Ichikawa
  • Journal Title: Journal of Guidance, Control, and Dynamics 32
  • NAID: 120007044575
  • Peer Reviewed
• [Journal Article] Rotational motion control by feedback with minimum L1-norm (2009)
  • Author(s): Minoru Majima, Akira Ichikawa
  • Journal Title: Journal of Guidance, Control, and Dynamics 32 Pages: 635-643
  • Peer Reviewed
• [Journal Article] Rotational motion control by feedback with minimum L1 norm (2009)
  • Author(s): Minoru Majima, Akira Ichikawa
  • Journal Title: Journal of Guidance, Control, and Dynamics 32 Pages: 635-642
  • Peer Reviewed
• [Journal Article] Optimal impulsive relative orbit transfer along a circular orbit (2008)
  • Author(s): Yoshihiro Ichimura, Akira Ichikawa
  • Journal Title: Journal of Guidance, Control, and Dynamics 31 Pages: 1014-1027
  • Peer Reviewed
• [Journal Article] Minimum energy control and its applications (2008)
  • Author(s): Akira Ichikawa
  • Journal Title: International Journal of Pure and Applied Mathematics 42 Pages: 475-480
  • Peer Reviewed
• [Journal Article] Optimal impulsive relative orbit transfer along a circular orbit (2008)
  • Author(s): Yoshihiro Ichimura and Akira Ichikawa
  • Journal Title: Journal of Guidance, Control, and Dynamics 31
  • Peer Reviewed
• [Presentation] Null controllability with vanishing energy for discrete-time systems in Hilbert space (2008)
  • Author(s): Akira Ichikawa
  • Organizer: 47th IEEE Conference on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] Minimum energy control and its applications (2007)
  • Author(s): Akira Ichikawa
  • Organizer: 4th International Conference of Applied Mathematics and Computing
  • Place of Presentation: Plovdiv, Bulgaria
  • Year and Date: 2007-08-14