DocumentCode :
3573110
Title :
A smoothed exact penalty function method for the optimal-fuel spacecraft rendezvous problem with the collision avoidance constraint
Author :
Xiangyu Gao ; Lili Shao ; Dongxue Qian
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
fYear :
2014
Firstpage :
3511
Lastpage :
3516
Abstract :
This paper studies the minimum-fuel rendezvous problem subject to collision avoidance constraint. A new spacecraft rendezvous model is established. Based on this model, a state-constrained optimal control problem is formulated. A smoothed exact penalty function method is used to transform the constrained optimal control problem into a sequence of approximate unconstrained optimization problems. It is shown that the solutions of these approximate unconstrained optimization problems converge to the solution of the original problem. Finally, the effectiveness of the proposed approach is demonstrated through numerical simulation in the case of spacecraft rendezvous on a highly elliptical orbit.
Keywords :
collision avoidance; fuel optimal control; numerical analysis; optimisation; space vehicles; approximate unconstrained optimization problems; collision avoidance constraint; elliptical orbit; minimum-fuel rendezvous problem; numerical simulation; optimal-fuel spacecraft rendezvous problem; smoothed exact penalty function method; spacecraft rendezvous model; state-constrained optimal control problem; Cost function; Equations; Fuels; Mathematical model; Optimal control; Orbits; Space vehicles; Spacecraft rendezvous; exact penalty function; fuel optimal control; inequality state constraint;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Control and Automation (WCICA), 2014 11th World Congress on
Type :
conf
DOI :
10.1109/WCICA.2014.7053299
Filename :
7053299
Link To Document :
بازگشت