Optimal guidance based on receding horizon control for low-thrust transfer to libration point orbits

作者: Haijun Peng , Qiang Gao , Zhigang Wu , Wanxie Zhong

DOI: 10.1016/J.ASR.2013.01.013

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摘要: Abstract This paper addresses the design and computation of a guidance law for transfer mission from an orbit near Earth to halo around libration point L2 in Sun–Earth system. The law, which is designed based on receding horizon control compensates launch velocity errors that are introduced by inaccuracies vehicle, solved using generating function method. During closed-loop entire mission, considered nonlinear optimal problem, evaluated obtain nominal reference trajectory. Using uncertainty model, spacecraft controlled proposed tracks Furthermore, original Riccati differential equation algorithm replaced equivalent convenient form function. high-efficiency solution avoids online direct integration equation, significantly increases computational efficiency problem. Numerical simulations bicircular four-body model demonstrate capabilities mission. In addition, method improves at least one order magnitude over backward sweep solving

参考文章(47)
G. Mingotti, F. Topputo, F. Bernelli-Zazzera, Combined Optimal Low‐Thrust and Stable‐Manifold Trajectories to the Earth‐Moon Halo Orbits 3rd New Trends in Astrodynamics and Applications. ,vol. 886, pp. 100- 112 ,(2007) , 10.1063/1.2710047
I. Michael Ross, 6 – Space Trajectory Optimization and L1-Optimal Control Problems Elsevier Astrodynamics Series. ,vol. 1, pp. 155- 188 ,(2006) , 10.1016/S1874-9305(07)80008-2
Wang Sang Koon, Shane D. Ross, Martin W. Lo, Jerrold E. Marsden, Dynamical Systems, the Three-Body Problem and Space Mission Design ,(2009)
Christian Circi, Properties of transit trajectory in the restricted three and four-body problem Advances in Space Research. ,vol. 49, pp. 1506- 1519 ,(2012) , 10.1016/J.ASR.2012.02.034
John V. Breakwell, Ahmed A. Kamel, Martin J. Ratner, Station-keeping for a translunar communication station Celestial Mechanics and Dynamical Astronomy. ,vol. 10, pp. 357- 373 ,(1974) , 10.1007/BF01586864
Bailing Tian, Qun Zong, Optimal guidance for reentry vehicles based on indirect Legendre pseudospectral method Acta Astronautica. ,vol. 68, pp. 1176- 1184 ,(2011) , 10.1016/J.ACTAASTRO.2010.10.010
David G. Hull, Conversion of optimal control problems into parameter optimization problems Journal of Guidance Control and Dynamics. ,vol. 20, pp. 57- 60 ,(1996) , 10.2514/2.4033