Control Theoretical Approach to Trajectory Design in Multi-body Problem

2016 Fiscal Year Final Research Report

• Project/Area Number: 25870513
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Aerospace engineering; Control engineering/System engineering
• Research Institution: Kyushu 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
• Keywords: 三体問題 / 最適制御 / 不変多様体 / 低エネルギー軌道

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.

Free Research Field

航空宇宙工学