Application of sparse nonlinear programming to trajectory optimization

1992 ◽  
Vol 15 (1) ◽  
pp. 198-206 ◽  
Author(s):  
John T. Betts ◽  
William P. Huffman
Keyword(s):  
Nonlinear Programming ◽  
Trajectory Optimization ◽  
Sparse Nonlinear Programming

Trajectory Optimization for Spacecraft Proximity Rendezvous Using Direct Collocation Method

2012 ◽  
Vol 433-440 ◽  
pp. 6652-6656 ◽  
Author(s):  
Tao Liu ◽  
Yu Shan Zhao ◽  
Peng Shi ◽  
Bao Jun Li
Keyword(s):  
Nonlinear Programming ◽  
Control Problem ◽  
Programming Problem ◽  
Collocation Method ◽  
Trajectory Optimization ◽  
Collocation Methods ◽  
Nonlinear Programming Problem ◽  
Reference Orbit ◽  
Direct Collocation ◽  
Direct Collocation Method

Trajectory optimization problem for spacecraft proximity rendezvous with path constraints was discussed using direct collocation method. Firstly, the model of spacecraft proximity rendezvous in elliptic orbit optimization control problem was presented, with the dynamic equations established in the target local orbital frame, and the performance index was minimizing the total fuel consumption. After that the optimal control problem was transcribed into a large scale problem of Nonlinear Programming Problem (NLP) by means of Hermite-Simpson discretization, which was one of the direct collocation methods. Then the nonlinear programming problem was solved using MATLAB software package SNOPT. Finally, to verify this method, the fuel-optimal trajectory for finite thrust was planned for proximity rendezvous with elliptic reference orbit. Numerical simulation results demonstrate that the proposed method was feasible, and was not sensitive to the initial condition, having good robustness.

Optimality conditions for sparse nonlinear programming

2017 ◽  
Vol 60 (5) ◽  
pp. 759-776 ◽  
Author(s):  
LiLi Pan ◽  
NaiHua Xiu ◽  
Jun Fan
Keyword(s):  
Nonlinear Programming ◽  
Optimality Conditions ◽  
Sparse Nonlinear Programming
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