有限推力能量、燃料最优轨道转移控制

应用间接法研究了时间固定下的能量、燃料以及能量-燃料最优有限推力轨道转移控制问题.燃料最优问题因存在奇异性而不易处理,引入能量性能指标可以消除奇异性,应用ε算法寻求解决了燃料最优轨道转移问题.应用极小值原理,设计了最优控制器,应用单值打靶法研究了相应轨迹优化问题转化的两点边值问题.数值结果表明在相同推力、相同轨道转移时间条件下,三种最优控制方式得到的最优轨迹几乎相同;同时也表明给定初始和目标轨道,轨道转移任务消耗的燃料是确定的,推力大小只影响轨道转移的圈数.

Optimal Control for Minimizing Energy or Fuel in Finite-thrust Orbit Transfer

The problem of optimal finite-thrust orbit transfer for minimizing energy,fuel and energy-fuel combination is studied by using a indirect method.The fuel optimal orbit transfer problem is hard to be solved because of the possible existence of the singularities in the solution,but the minimum energy problem is relatively easy to deal with.A ε-algorithm is used to solve the fuel optimal problem via the addition of the energy term in the preference index.The trajectory optimization problem is deduced into a two-point-boundary-value problem,and the shooting method is used to dispose the problem in numerical computation.Simulations demonstrate that the optimal trajectories are almost alike under the three optimal case conditions of the same thrust and the transfer time.