Homotopy method for minimum consumption orbit transfer problem

被引：57

作者：

Gergaud, J

Haberkorn, T

机构：

[1] ENSEEIHT, IRIT, CNRS, UMR 5505, F-31071 Toulouse 7, France

[2] Dept Math, Honolulu, HI 96822 USA

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2006年 / 12卷 / 02期

关键词：

orbital transfer; optimal control problem; shooting method; differential homotopy; predictor-corrector method;

D O I：

10.1051/cocv:2006003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The numerical resolution of the low thrust orbital transfer problem around the Earth with the maximization of the final mass or minimization of the consumption is investigated. This problem is difficult to solve by shooting method because the optimal control is discontinuous and a homotopic method is proposed to deal with these difficulties for which convergence properties are established. For a thrust of 0.1 Newton and a final time 50% greater than the minimum one, we obtain 1786 switching times.

引用

页码：294 / 310

页数：17

共 11 条

[1]

Allgower E., 1990, NUMERICAL CONTINUATI

[2]

Aubin J.-P., 1984, DIFFERENTIAL INCLUSI, V264

[3] Coplanar control of a satellite around the Earth [J].