Nonlinear Station-keeping Control of Unstable Orbits near Collinear Libration Points
A new nonlinear optimal tracking control method is proposed and analyzed which stabilizes a class of unstable periodic orbits near collinear libration points. Since such libration point orbits are, in general, unstable, spacecraft moving on these orbits must use some form of trajectory control to remain close to their nominal paths. In this study, the control law based on optimal control theory gives a closed-form suboptimal feedback solution to solve this nonlinear control problem. For the case of an unstable orbit which has in space the shape of a curved eight in the Hill restricted three-body problem, we find that the actual trajectory tracks a nominal orbit given in the form of the Fourier series with good accuracy. It is shown that the control acceleration can be provided by a low-thrust engine and that the total fuel cost of the control can be quite reasonable.
nonlinear optimal tracking:station-keeping control:unstable periodic orbits:Hill restricted three-body problem.
Zhiqin Cai Jun Zhao Haijun Peng Zhaohui Qi
Engineering Mechanics,State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian Un Department of Engineering Mechanics,Dalian University of Technology,Dalian,Liaoning,P.R.China,116024 Engineering Mechanics,State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian Un
国际会议
哈尔滨
英文
1-6
2010-01-08（万方平台首次上网日期，不代表论文的发表时间）