| 引用本文: | 王华,唐国金.用非线性规划求解有限推力最优交会.[J].国防科技大学学报,2003,25(5):9-13.[点击复制] |
| WANG Hua,TANG Guojin.Optimal Finite-Thrust Rendezvous Using Nonlinear Programming[J].Journal of National University of Defense Technology,2003,25(5):9-13[点击复制] |
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| 用非线性规划求解有限推力最优交会 |
| 王华, 唐国金 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 利用非线性规划方法研究了航天器的有限推力最优交会问题。这种方法利用了近年来发展起来的直接优化技术，用分段多项式来表示整个轨道的状态和控制向量，将最优控制问题转化为非线性规划问题。在应用这种方法时，先将整个轨道分为若干推力段和无推力段，然后利用配置方法产生推力段的约束段，利用状态转移矩阵来产生无推力段的约束。最后，对共面轨道情况下的交会进行了数值仿真，验证了方法的有效性和鲁棒性。 |
| 关键词: 交会 最优控制 非线性规划 有限推力 |
| DOI： |
| 投稿日期：2003-01-07 |
| 基金项目: |
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| Optimal Finite-Thrust Rendezvous Using Nonlinear Programming |
| WANG Hua, TANG Guojin |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Spacecraft optimal rendezvous is studied using nonlinear programming method. A recently developed direct optimization technique is employed, which uses a piecewise polynomial representation for the state and controls, thus converting the optimal control problem into a nonlinear programming one. When using the method, the whole orbit is separated to thrust arcs and non-thrust arcs, then the collocation method is used to produce the constraints of thrust arcs, and state transition matrix is applied to producing the constraints of non-thrust arcs. At last, the simulation of coplanar rendezvous verifies the effectiveness and robustness of the method. |
| Keywords: rendezvous optimal control nonlinear programming finite-thrust |
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