| 引用本文: | 汤国建,赵汉元.飞船再入制导最佳反馈增益系数规律.[J].国防科技大学学报,2000,22(3):53-56.[点击复制] |
| TANG Guojian,ZHAO Hanyuan.A Study of the Optimal Feedback-Gain-Coefficients of Reentry Guidance for Spacecraft[J].Journal of National University of Defense Technology,2000,22(3):53-56[点击复制] |
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| 飞船再入制导最佳反馈增益系数规律 |
| 汤国建, 赵汉元 |
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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: |
| 为了获取基于标准轨道返回舱再入纵向制导的最佳反馈增益系数, 建立了纵平面运动方程, 推导了对应于纵向制导规律的摄动微分方程。根据Pontryagin 极小值原理, 给出了最优反馈控制律, 求解Riccati方程, 即可得到最佳反馈增益系数。考虑到实现的可行性, 将时变的增益系数逼近成常数或分段常数, 得到次优反馈增益系数, 取得了满意的制导效果。 |
| 关键词: 再入制导 最优反馈 增益系数 摄动理论 |
| DOI： |
| 投稿日期：2000-02-18 |
| 基金项目: |
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| A Study of the Optimal Feedback-Gain-Coefficients of Reentry Guidance for Spacecraft |
| TANG Guojian, ZHAO Hanyuan |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Based on the nominal reentry trajectory, this paper presents the optimal feedback-gain-coefficients(FGCs) of the reentry longitudinal guidance for the return module1 First of all, the longitudinal planar motion equations are modeled. Secondly, corresponding to the longitudinal guidance law the perturbation differential equations are derived. Finally, according to the Pontryagin minimum principle, the optimal FGCs are given by solving the Riccati equation. Considering the practical feasibility, the varying gain coefficients are approximated to constant ones or gradual constant ones to form the sub-optimal FGCs. And the satisfactory guidance results are achieved. |
| Keywords: reentry guidance optimal feedback gain coefficient perturbation theory |
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