確率的事象を考慮した宇宙機の軌道最適化手法の構築に関する研究

• Project/Area Number: 15J05999
• Research Category: Grant-in-Aid for JSPS Fellows
• Allocation Type: Single-year Grants
• Section: 国内
• Research Field: Aerospace engineering
• Research Institution: The University of Tokyo
• Principal Investigator: 尾崎 直哉 東京大学, 工学系研究科, 特別研究員(DC1)
• Project Period (FY): 2015-04-24 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥3,400,000 (Direct Cost: ¥3,400,000); Fiscal Year 2017: ¥1,100,000 (Direct Cost: ¥1,100,000); Fiscal Year 2016: ¥1,100,000 (Direct Cost: ¥1,100,000); Fiscal Year 2015: ¥1,200,000 (Direct Cost: ¥1,200,000)
• Keywords: 軌道最適化 / 軌道設計 / 確率制御 / ロバスト制御 / 確率制御理論 / ロバスト制御理論 / 低推力軌道設計 / 動的計画法 / モデル予測制御 / 確率最適制御 / ロバスト最適制御 / 非線形計画法 / DDP / 深宇宙探査 / アストロダイナミクス

Outline of Annual Research Achievements

今年度は，研究課題の集大成として，制約条件つき・非線形確率最適制御問題の解法であるTube Stochastic Differential Dynamic Programming (TSDDP)を確立し，確率的な事象を考慮した宇宙機の軌道最適化手法の構築に成功した．本提案手法によって，確率過程をUnscented変換で逐次的にガウス仮定と近似し，閉ループ制御則をシグマ・ポイント上の制御ベクトルの補間関数として表現した結果，確率最適制御問題を決定論的な最適制御問題へ帰着させる事に成功した．帰着された最適制御問題は，近年軌道設計分野で注目を集めている微分動的計画法(Differential Dynamic Programming, DDP)を利用することで効率的に解くことができる．本提案手法を低推力軌道設計問題へ適用した数値シミュレーションによって，従来経験的に導入されてきたような運転率・弾道飛行期間に加えて，推力方向，加速開始時刻の変更といったマージンが自動的に最適な配分で導出されることを実証した．そして，提案手法が必要十分なロバスト性を有した最適軌道（すなわち，ロバスト最適軌道）を実現していることを，モンテカルロ法によって示した． 本提案手法の理論構築のために，NASAジェット推進研究所に約５ヶ月の研究滞在をしており，専門家から様々なアドバイスを受け，内部向けの研究発表で高い評価を受けた．また，本結果はAIAA Guidance, Navigation, and Control Conferenceで発表されており，更に，東京大学の博士論文として認められた．

Research Progress Status

29年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

29年度が最終年度であるため、記入しない。

Research Products

• [Int'l Joint Research] NASAジェット推進研究所(米国)
• [Int'l Joint Research] European Space Operation Centre/European Space Agency(European Union)
• [Journal Article] Stochastic Differential Dynamic Programming with Unscented Transform for Low-Thrust Trajectory Design (2018)
  • Author(s): Naoya Ozaki, Stefano Campagnola, Ryu Funase, and Chit Hong Yam
  • Journal Title: Journal of Guidance, Control, and Dynamics Volume: 41 Issue: 2 Pages: 377-387
  • DOI: 10.2514/1.g002367
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Graph-Based Multi-Objective Trajectory Optimization for Repeat Ground Track Orbital Transfer by Low-Thrust Propulsion (2017)
  • Author(s): 神代 優季，尾崎 直哉，船瀬 龍，中須賀 真一
  • Journal Title: JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES Volume: 65 Issue: 6 Pages: 219-226
  • DOI: 10.2322/jjsass.65.219
  • NAID: 130006243129
  • ISSN: 1344-6460, 2432-3691
  • Peer Reviewed
• [Journal Article] Constrained Optimal Flyby Guidance Algorithm by Iterative Two-Stage Stochastic Programming (2017)
  • Author(s): Ozaki, N., Kawabata, Y., Takeuchi, H., Ichikawa, T., Funase, R., Kawakatsu, Y.
  • Journal Title: SICE Journal of Control, Measurement, and System Integration Volume: 10
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] 小型衛星用電気推進の推力ベクトル管理方法の提案と実証 (2016)
  • Author(s): 柳沼和也，小泉宏之，河原大樹，浅川純，中川悠一，稲垣匡志，笠木友介，五十里哲，尾崎直哉，船瀬龍，小紫公也
  • Journal Title: 日本航空宇宙学会論文集 Volume: 64 Pages: 131-138
  • NAID: 130005143912
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Tube Stochastic Differential Dynamic Programming for Robust Low- Thrust Trajectory Optimization Problems (2018)
  • Author(s): Naoya Ozaki and Ryu Funase
  • Organizer: AIAA Guidance, Navigation, and Control Conference in AIAA SciTech Forum
  • Int'l Joint Research
• [Presentation] Robust Differential Dynamic Programming for Low-Thrust Trajectory Design: Approach with Robust Model Predictive Control Technique (2017)
  • Author(s): Naoya Ozaki, Stefano Campagnola, Ryu Funase
  • Organizer: 26th International Symposium on Space Flight Dynamics
  • Int'l Joint Research
• [Presentation] Mission to Earth―Moon Lagrange Point by a 6U CubeSat: EQUULEUS (2017)
  • Author(s): Ryu Funase, Naoya Ozaki, Shintaro Nakajima, et.al
  • Organizer: 31st International Symposium on Space Technology and Science
  • Int'l Joint Research
• [Presentation] Mission Analysis for EQUULEUS and OMOTENASHI (2017)
  • Author(s): Stefano Campagnola, Naoya Ozaki, Javier Hernando-Ayuso, et.al.
  • Organizer: 31st International Symposium on Space Technology and Science
  • Int'l Joint Research
• [Presentation] Autonomous Orbit Determination of Multiple Spacecraft Using Active Sensing with Satellite-to-Satellite Tracking (2017)
  • Author(s): Kota Kakihara, Naoya Ozaki, Ryu Funase
  • Organizer: 26th International Symposium on Space Flight Dynamics
  • Int'l Joint Research
• [Presentation] Mission Analysis for JAXA's Earth-Moon Libration-Orbit CubeSat (2016)
  • Author(s): Campagnola, S., Ozaki, N., Oguri, K., Verspieren, Q., Kakihara, K., Yanagida, K., Funase, R., Yam, C.H., Ferella, L., Yamaguchi, T., Kawakatsu, Y., Yarnoz, D.G.
  • Organizer: 67th International Astronautical Congress
  • Place of Presentation: Guadalajara, Mexico
  • Year and Date: 2016-09-26
  • Int'l Joint Research
• [Presentation] Flyby Navigation and Guidance Experiment for Interplanetary Micro-Spacecraft PROCYON (2016)
  • Author(s): Ozaki, N., Kawabata, Y., Takeuchi, H., Ichikawa, T., Taniguchi, S., Yagami, T., Funase, R., Kawakatsu, Y.
  • Organizer: SICE Annual Conference
  • Place of Presentation: Tsukuba International Congress Center, Tsukuba, Ibaraki, Japan
  • Year and Date: 2016-09-20
  • Int'l Joint Research
• [Presentation] Robust-Optimal Trajectory Design against Disturbance for Solar Sailing Spacecraft (2016)
  • Author(s): Ozaki, N., Funase, R., Campagnola, S., and Yam, C.H.
  • Organizer: AIAA/AAS Astrodynamics Specialist Conference
  • Place of Presentation: Long Beach, CA, USA
  • Year and Date: 2016-09-12
  • Int'l Joint Research
• [Presentation] 確率微分動的計画法を利用したロバスト最適低推力軌道設計手法とその応用に関する研究 (2016)
  • Author(s): 尾崎直哉，カンパニョーラ・ステファノ，船瀬龍
  • Organizer: 第60回宇宙科学技術連合講演会
  • Place of Presentation: 函館アリーナ，函館，北海道
  • Year and Date: 2016-09-06
• [Presentation] 低推力推進による地上軌跡遷移のためのグラフを用いた多目的軌道最適化手法 (2016)
  • Author(s): 神代優季, 尾崎直哉, 船瀬龍, 中須賀真一
  • Organizer: 第60回宇宙科学技術連合講演会
  • Place of Presentation: 函館アリーナ，函館，北海道
  • Year and Date: 2016-09-06
• [Presentation] Fault-Tolerant Low-Thrust Trajectory Design with Backups for Multiple Targets (2016)
  • Author(s): Wachi, A., Ozaki, N., Nakasuka, S.
  • Organizer: 20th IFAC Symposium on Automatic Control in Aerospace
  • Place of Presentation: Quebec
  • Year and Date: 2016-08-21
  • Int'l Joint Research
• [Presentation] 超小型深宇宙探査機PROCYONによる軌道制御及びフライバイ誘導実証に関する研究 (2016)
  • Author(s): 尾崎直哉，川端洋輔，他
  • Organizer: SICE第3回制御部門マルチシンポジウム
  • Place of Presentation: 名古屋，愛知，日本
  • Year and Date: 2016-03-07
• [Presentation] Stochastic Differential Dynamic Programming for Low-Thrust Trajectory Design with State Uncertainty (2016)
  • Author(s): Naoya Ozaki, Ryu Funase, Stefano Campagnola, Chit Hong Yam
  • Organizer: 26th AAS/AIAA Space Flight Mechanics Meeting
  • Place of Presentation: Napa, CA
  • Year and Date: 2016-02-14
  • Int'l Joint Research
• [Presentation] Differential Dynamic Programming Approach for Robust-Optimal Low-Thrust Trajectory Design Considering Uncertainty (2015)
  • Author(s): Naoya Ozaki, Stefano Campagnola, Chit Hong Yam, Ryu Funase
  • Organizer: 25th International Symposium on Space Flight Dynamics
  • Place of Presentation: Munich, Germany
  • Year and Date: 2015-10-19
  • Int'l Joint Research
• [Presentation] Low-Thrust Trajectory Design and Operations of PROCYON, the First Deep-Space Micro-Spacecraft (2015)
  • Author(s): Stefano Campagnola, Naoya Ozaki, et.al.
  • Organizer: 25th International Symposium on Space Flight Dynamics
  • Place of Presentation: Munich, Germany
  • Year and Date: 2015-10-19
  • Int'l Joint Research
• [Presentation] 超小型深宇宙探査機PROCYONのミッション設計と軌道上実績評価 (2015)
  • Author(s): 尾崎直哉，川端洋輔，他
  • Organizer: 第59回宇宙科学技術連合講演会
  • Place of Presentation: 鹿児島，日本
  • Year and Date: 2015-10-07
• [Presentation] Robust Optimal Low-Thrust Trajec- tory Design Considering Missed-Thrust (2015)
  • Author(s): Naoya Ozaki, Stefano Campagnola, Chit Hong Yam, Ryu Funase
  • Organizer: 30th International Symposium on Space Technology and Science
  • Place of Presentation: Kobe, Hyogo, Japan
  • Year and Date: 2015-07-04
  • Int'l Joint Research