Control Theoretical Approach to Trajectory Design in Multi-body Problem
| Project/Area Number |
25870513
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Aerospace engineering
Control engineering/System engineering
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| Research Institution | Kyushu University |
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Principal Investigator |
Bando Mai 九州大学, 工学研究院, 准教授 (40512041)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| 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)
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| 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 |
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| 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.
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Report
(5 results)
Research Products
(28 results)
