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Control Theoretical Approach to Trajectory Design in Multi-body Problem

Research Project

Project/Area Number 25870513
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Aerospace engineering
Control engineering/System engineering
Research InstitutionKyushu University

Principal Investigator

Bando Mai  九州大学, 工学研究院, 准教授 (40512041)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords三体問題 / 最適制御 / 不変多様体 / 低エネルギー軌道 / 3体問題 / 多体問題 / ヒル三体問題 / 円制限3体問題 / 周期軌道 / 円制限三体問題 / フォーメーション / 軌道維持 / ハロー軌道
Outline of Final Research Achievements

In the multi-body dynamics where analytical approach is difficult, we analyzed the trajectory using the control theory. We applied nonlinear control theory and proposed a control system that achieves engineering purpose such as disturbance suppression while utilizing the structure of dynamical system. The concept of attractive set, which is a set of initial states that can reach the desired state by low thrust continuous acceleration, is introduced on the basis of optimal control. It was clarified that the relationship between the optimally controlled trajectory with stable and unstable manifolds of dynamic system. In addition, we designed a transfer orbit between equilibrium points using stable and unstable manifolds and confirmed that fuel consumption is greatly reduced.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (28 results)

All 2017 2016 2015 2014 2013 Other

All Int'l Joint Research (2 results) Journal Article (10 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 8 results,  Acknowledgement Compliant: 2 results,  Open Access: 1 results) Presentation (14 results) (of which Int'l Joint Research: 4 results,  Invited: 1 results) Remarks (2 results)

  • [Int'l Joint Research] University of Colorado, Boulder(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] コロラド大学ボルダー校(米国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Chattering Attenuation Sliding Mode Approach for Nonlinear Systems2017

    • Author(s)
      Hamidreza Nemati, Mai Bando, Shinji Hokamoto
    • Journal Title

      Asian Journal of Control

      Volume: 19 Issue: 4 Pages: 1-13

    • DOI

      10.1002/asjc.1477

    • NAID

      120007053152

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Attractive Sets to Unstable Orbits Using Optimal Feedback Control2016

    • Author(s)
      Mai Bando and Daniel J. Scheeres
    • Journal Title

      Journal of Guidance, Control, and Dynamics

      Volume: 39 Issue: 12 Pages: 2725-2739

    • DOI

      10.2514/1.g000524

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Trajectory Design Using the Center Manifold Theory in the Circular Restricted Three-Body Problem2016

    • Author(s)
      Yuki Akiyama, Mai Bando, Hamidreza Nemati and Shinji Hokamoto
    • Journal Title

      TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, AEROSPACE TECHNOLOGY JAPAN

      Volume: 14 Issue: ists30 Pages: Pd_151-Pd_158

    • DOI

      10.2322/tastj.14.Pd_151

    • NAID

      130005252786

    • ISSN
      1884-0485
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Design of Earth-Moon Cyclers Using Primer Vector Theory2016

    • Author(s)
      Sho Hayashida, Mai Bando, and Shinji Hokamoto
    • Journal Title

      TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, AEROSPACE TECHNOLOGY JAPAN

      Volume: 14 Issue: ists30 Pages: Pd_159-Pd_165

    • DOI

      10.2322/tastj.14.Pd_159

    • NAID

      130005252793

    • ISSN
      1884-0485
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Possibility of Using Small Asteroids for Deflecting Near-Earth Asteroids2016

    • Author(s)
      Yuki Akiyama, Mai Bando, and Shinji Hokamoto
    • Journal Title

      Advances in Space Research

      Volume: 57 Issue: 8 Pages: 1820-1831

    • DOI

      10.1016/j.asr.2015.08.016

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Formation Flying Along Halo Orbit of Circular-Restricted Three-Body Problem2015

    • Author(s)
      Mai Bando and Akira Icihkawa
    • Journal Title

      AIAA Journal of Guidance, Control, and Dynamics

      Volume: 38 Issue: 1 Pages: 123-129

    • DOI

      10.2514/1.g000463

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] In-plane Motion Control of Hill-Clohessy-Wiltshire Equations by Single Thruster2013

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

      AIAA Journal of Guidance, Control, and Dynamics

      Volume: 36 Pages: 1512-1522

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Active Formation Flying Along an Eccentric Orbit2013

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

      AIAA Journal of Guidance, Control, and Dynamics

      Volume: 36 Pages: 136-148

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Formation Flying Along an Elliptic Orbit by Pulse Control2013

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

      Advances in the Astronautical Sciences

      Volume: 150 Pages: 1433-1446

    • Related Report
      2013 Research-status Report
  • [Journal Article] Formation Flying near the Libration Points by Impulse Control2013

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

      Advances in the Astronautical Sciences

      Volume: 148 Pages: 3045-3057

    • Related Report
      2013 Research-status Report
  • [Presentation] Periodic Orbits Design Based on the Center Manifold Theory in the Circular Restricted Three-Body Problem2016

    • Author(s)
      Yuki Akiyama, Mai Bando and Shinji Hokamoto
    • Organizer
      67th International Astronautical Congress
    • Place of Presentation
      Guadalajara
    • Year and Date
      2016-09-26
    • Related Report
      2016 Annual Research Report
  • [Presentation] Nonlinear Attractive Sets under Optimal Feedback Control in the Hill Three-Body Problem2016

    • Author(s)
      Mai Bando and Daniel J. Scheere
    • Organizer
      AIAA/AAS Astrodynamics Specialist Conference, SPACE Conferences and Exposition
    • Place of Presentation
      Long Beach
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Attractive Set of Optimal Feedback Control for the Hill Three-Body Problem2016

    • Author(s)
      Mai Bando and Daniel J. Scheeres
    • Organizer
      26th AAS/AIAA Spaceflight Mechanics Meeting
    • Place of Presentation
      Napa
    • Year and Date
      2016-02-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Station-Keeping and Formation Flying for Periodic Orbits around Lagrangian Points by Fourier Series2015

    • Author(s)
      Yuki Akiyama, Mai Bando and Shinji Hokamoto
    • Organizer
      25th International Symposium on Space Flight Dynamics
    • Place of Presentation
      Munich
    • Year and Date
      2015-10-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Design of Sliding Mode Controllers for Formation Flygin along Unstable Periodic Orbits in CR3BP2015

    • Author(s)
      Hamidreza Nemati, Mai Bando and Shinji Hokamoto
    • Organizer
      66th International Astronautical Congress
    • Place of Presentation
      Jerusalem
    • Year and Date
      2015-10-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Satellite Formation-Keeping about Libration Points in the Presence of System Uncertainties2015

    • Author(s)
      Mai Bando, Hamidreza Nemati and Shinji Hokamoto
    • Organizer
      AAS/AIAA Astrodynamics Specialist Conference
    • Place of Presentation
      Veil
    • Year and Date
      2015-08-09
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Spacecraft Trajectory design for Circular-Restricted Three-Body Problem Using Center Manifold2014

    • Author(s)
      坂東麻衣
    • Organizer
      天体力学N体力学研究会
    • Place of Presentation
      千葉
    • Year and Date
      2014-11-13 – 2014-11-14
    • Related Report
      2014 Research-status Report
  • [Presentation] 円制限三体問題におけるフォーメーション制御則について2014

    • Author(s)
      坂東麻衣
    • Organizer
      アストロダイナミクスシンポジウム
    • Place of Presentation
      宇宙科学研究所
    • Year and Date
      2014-07-28 – 2014-07-29
    • Related Report
      2014 Research-status Report
  • [Presentation] Robust Deflection Strategies of Near Earth Asteroids under Uncertainties2014

    • Author(s)
      Mai Bando, Yuki Akiyama and Shinji Hokamoto
    • Organizer
      24th AAS/AIAA Space Flight Mechanics Meeting
    • Place of Presentation
      サンタフェ
    • Related Report
      2013 Research-status Report
  • [Presentation] Optimal Selection of Impulse Times for Formation Flying2014

    • Author(s)
      Mai Bando and Akira Ichikawa
    • Organizer
      2nd IAA Conference on Dynamics and Control of space Systems
    • Place of Presentation
      ローマ
    • Related Report
      2013 Research-status Report
  • [Presentation] Formation Flying near the Libration Points in the Elliptic Restricted Three-Body Problem2013

    • Author(s)
      Mai Bando and Akira Ichikawa
    • Organizer
      5th International Conference on Spacecraft Formation Flying Missions and Technologies (SFFMT)
    • Place of Presentation
      ミュンヘン
    • Related Report
      2013 Research-status Report
  • [Presentation] Formation Flying Along an Elliptic Orbit by Pulse Control2013

    • Author(s)
      Mai Bando and Akira Ichikawa
    • Organizer
      AAS/AIAA Astrodynamics Specialist Conference
    • Place of Presentation
      ヒルトンヘッド
    • Related Report
      2013 Research-status Report
  • [Presentation] Formation Flying Along a Circular Orbit by Pulse Control2013

    • Author(s)
      Mai Bando and Akira Ichikawa
    • Organizer
      SICE Annual Conference
    • Place of Presentation
      名古屋
    • Related Report
      2013 Research-status Report
  • [Presentation] Trajectory Design for Near-Earth Asteroid Deflection Mission2013

    • Author(s)
      Mai Bando
    • Organizer
      2013 NCTS Taiwan-Japan Symposium on Celestial Mechanics and N-body Dynamics
    • Place of Presentation
      新竹
    • Related Report
      2013 Research-status Report
    • Invited
  • [Remarks] 坂東 麻衣 (Mai Bando, Ph.D)

    • URL

      http://www.aero.kyushu-u.ac.jp/gcl/mbando/

    • Related Report
      2014 Research-status Report
  • [Remarks] Homepage of Mai Bando

    • URL

      http://www.aero.kyushu-u.ac.jp/gcl/mbando/

    • Related Report
      2013 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2022-02-16  

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