DocumentCode :
3133497
Title :
Numerical solution for a class of pursuit-evasion problem in low earth orbit
Author :
Songtao Sun ; Qiuhua Zhang ; Ying Chen
Author_Institution :
Dept. of Astronaut. Sci. & Mech., Harbin Inst. of Technol., Harbin, China
fYear :
2013
fDate :
23-26 June 2013
Firstpage :
1
Lastpage :
6
Abstract :
A two spacecraft pursuit-evasion problem in a low earth orbit with two payoffs, is investigated by an integrated approach using the semi-direct nonlinear programming and the multiple shooting method. The problem is formulated by a zero-sum differential game. The miss distance at a fixed terminal time and the capture time are defined as the payoffs. The pursuer strives to minimize the payoff while the evader attempts to maximize it. Semi-direct nonlinear programming serves as a preprocessor in which control is parameterized in piecewise form. Its solution is then used as the initial values for the multiple shooting method and thus a refined solution is obtained for a two-point boundary-value problem arising from the necessary conditions. The optimal trajectory and optimal control using the semi-direct nonlinear programming and the multiple shooting method are computed and compared. Numerical equivalence of the semi-direct method and the hybrid method with respect to the differential game is evidenced by a realistically modeled pursuit-evasion test case. This proposed integrated approach is shown to be robust, accurate and more efficient than using only a single method.
Keywords :
boundary-value problems; game theory; nonlinear programming; optimal control; space vehicles; capture time; fixed terminal time; low earth orbit; multiple shooting method; necessary conditions; optimal control; semidirect nonlinear programming; spacecraft pursuit-evasion problem; two-point boundary-value problem; zero-sum differential game; Equations; Games; History; Optimal control; Programming; Space vehicles; Xenon;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
Type :
conf
DOI :
10.1109/ASCC.2013.6606041
Filename :
6606041
Link To Document :
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