Fuel-optimal trajectories for finite-thrust rendezvous

作者：Gu Da Ke^*; Duan Guang Ren; Zhang Mao Rui

来源：Journal of Astronautics, 2010, 31(1): 75-81.

DOI：10.3873/j.issn.1000-1328.2010.01.012

• Approximate solution
• Auxiliary control
• Direct optimization
• Fuel-optimal trajectories
• Optimal control
• Optimal control law
• Optimal control problem
• Optimal controls
• Optimal solutions
• Parameter optimization methods
• Parameterization method
• Parametric solutions
• Piece-wise
• Simulation result
• Value-based

Spacecraft fuel-optimal trajectories for finite-thrust are developed. Firstly, thrust constraints are transferred into the auxiliary controls without any constraints and then the auxiliary controls are represented as the piece-wise constant value based on the control parameterization method in conjunction with enhancing technique. Optimal control problem is converted into a nonlinear programming one by direct optimization technique. An approximate solution of optimal control law can be obtained by classical parameter optimization method. By means of increasing the number of parameters and the iteration of optimization, the parametric solution which approaches the continuous optimal solution is derived. The simulation results show the effect of the proposed method.

• 出版日期2010