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论文:2012,Vol:30,Issue(2):187-191 |
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引用本文： |
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高怀, 朱战霞, 刘剑. 基于遗传算法的连续推力最短时间转移轨道设计[J]. 西北工业大学 |
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Gao Huai, Zhu Zhanxia, Liu Jian. An Effective Minimum-Time Orbital Transfer Design under Continuous Thrust[J]. Northwestern polytechnical university |
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| 基于遗传算法的连续推力最短时间转移轨道设计 |
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| 高怀1,2,3, 朱战霞1,2, 刘剑1,2 |
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1. 西北工业大学 航天学院,陕西 西安 710072;
2. 航天飞行动力学技术国家级重点实验室,陕西 西安 710072;
3. 中国人民解放军 96363 部队,甘肃 天水 741020 |
| 摘要: |
| 针对连续推力作用下的最优轨道转移问题,在推力不变的条件下,考虑时间最优,设计了最优转移轨道和推力的作用方式。首先,建立描述连续推力轨道转移的状态方程,用变分法进行求解;然后,分别基于极小值原理和bang-bang控制原理推导出用协态变量表示的时间最优制导律,其中基于极小值原理的最优控制避开了bang-bang控制可能出现的奇异区间。由于协态变量无法求解解析解,文章采用遗传算法对协态变量进行优化求解。最后以同平面两个圆轨道为例进行了数值仿真,结果表明两种方法得到的最短时间基本相同,但采用极小值原理的最优转移轨道更加节省燃料。 |
| 关键词:
连续推力
极小值原理
周向推力
非开普勒轨道
遗传算法
bang-bang控制
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| An Effective Minimum-Time Orbital Transfer Design under Continuous Thrust |
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| Gao Huai1,2,3, Zhu Zhanxia1,2, Liu Jian1,2 |
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| College of Astronautics,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| To achieve the optimal orbit transfer under continuous thrust, under the condition that the thrust sizedoes not change, we design the optimal orbital transfer by taking minimum time and fuel consumption into account.Sections 1 and 2 of the full paper explain our minimum-time orbital transfer design, which is more effective thanprevious ones and whose core consists of: (1) we derive the state equations for describing the orbital transfer undercontinuous thrust; (2) we deduce two minimum-time guidance laws which are expressed as co-state variables, u-sing the minimum-value principle and the bang-bang control principle respectively; the optimal control with theminimum-value principle can eliminate the singular interval which may occur with the bang-bang control principle;(3) as it is difficult to obtain the analytical solutions of the co-state variables, we use the genetic algorithm to opti-mize and solve them. Section 3 gives two numerical simulation examples of the transfer of circular orbits in the sameplane by using the minimum-value principle and the bang-bang control principle respectively; the simulation re-sults, presented in Figs. 2 through 7, and their analysis show preliminarily that the orbital transfers with both prin-ciples take nearly the same minimum time; however, the orbital transfer with the minimum principle is more fuel-conserving. |
| Key words:
control
design
efficiency
energy efficiency
genetic algorithms
numerical methods
optimization
orbital transfer
real variables
two dimensional;continuous thrust
minimum-value principle
bang-bang control principle
analysis
flowcharting
simulation
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| 收稿日期: 2011-06-17
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(10802064)资助 |
| 通讯作者:
Email： |
| 作者简介: 高怀(1985-),西北工业大学硕士研究生,主要从事飞行器动力学与控制研究。
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| 作者相关文章 |
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| 高怀 在本刊中的所有文章 |
| 朱战霞 在本刊中的所有文章 |
| 刘剑 在本刊中的所有文章 |
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参考文献: |
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[1] Anastassios E Petropoulos, Ryan P Russell. Low-Thrust Transfers using Primer Vector Theory and a Second-Order Penalty Meth-od. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Honolulu, Hawaii, 2008, 1-9
[2] Ryan P Russell. Primer Vector Theory Applied to Global Low-Thrust Trade Studies. Journal of Guidance, Control, and Dynam-ics, 2007, 30(2):460-472
[3] Seungwon Lee, Paul von Allmen, et al. Design and Optimization of Low-Thrust Orbit Transfers. 2005 IEEE Aerospace Confer-ence Proceedings, 2005, 1-15
[4] Mischa Kim. Continuous Low-Thrust Trajectory Optimization: Techniques and Applications. Ph. D. Thesis, Virginia PolytechnicInstitute, 2005, 45-77 |
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相关文献: |
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1．高怀, 朱战霞.常值径向推力加速度下航天器轨道运动特性研究[J]. 西北工业大学, 2012,30(1): 38-43 |
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