2020年3月
Tube Stochastic Optimal Control for Nonlinear Constrained Trajectory Optimization Problems
Journal of Guidance, Control, and Dynamics
- ,
- ,
- 巻
- 43
- 号
- 4
- 開始ページ
- 645
- 終了ページ
- 655
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.2514/1.G004363
Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control problem. This problem is among the most complex in control theory, and no practically applicable method to low-thrust trajectory optimization problems has been proposed to date. This paper presents a new algorithm to solve stochastic optimal control problems with nonlinear systems and constraints. The proposed algorithm uses the unscented transform to convert a stochastic optimal control problem into a deterministic problem, which is then solved by trajectory optimization methods such as differential dynamic programming. Two numerical examples, one of which applies the proposed method to low-thrust trajectory design, illustrate that it automatically introduces margins that improve robustness. Finally, Monte Carlo simulations are used to evaluate the robustness and optimality of the solution.
- リンク情報
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- DOI
- https://doi.org/10.2514/1.G004363
- 共同研究・競争的資金等の研究課題
- 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
- URL
- https://arxiv.org/abs/2202.12158 本文へのリンクあり
- ID情報
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- DOI : 10.2514/1.G004363