| 一种新型火星定点着陆轨迹快速优化方法 |
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| 引用本文： | 任高峰,崔平远,崔祜涛,栾恩杰. 一种新型火星定点着陆轨迹快速优化方法[J]. 宇航学报, 2013, 34(4): 464-472. DOI: 10.3873/j.issn.1000-1328.2013.04.003 |
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| 作者姓名： | 任高峰 崔平远 崔祜涛 栾恩杰 |
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| 作者单位： | 1. 哈尔滨工业大学深空探测基础研究中心，哈尔滨 150080； 2. 飞行器动力学与控制教育部重点实验室，北京 100081； 3.北京理工大学深空探测技术研究所，北京 100081； 4.国家国防科技工业局科技委，北京 100048 |
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| 基金项目： | 国家重点基础研究发展计划(973计划)(2012CB720000)；国家自然科学基金(60874094,61174201)；高等学校博士学科点专项科研基金(20111101110001)；北京理工大学创新团队 |
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| 摘 要： | 针对火星定点着陆任务大气进入段的轨迹规划问题，给出了一种基于hp Radau伪谱法的快速优化算法。综合考虑大气进入段的动力学约束、边值约束、以及着陆器的机动能力约束和安全性约束，结合hp Radau伪谱法的配点特性，将轨迹优化问题转换成一个大规模多约束参数优化问题，给出了大气进入段轨迹优化问题的求解框架；为了提高算法的计算效率，给出了参数优化过程中雅克比矩阵的解析表达式；并通过数学仿真对本文算法进行了数值验证，结果表明：
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| 关 键 词： | hpRadau伪谱法 火星定点着陆 轨迹优化 解析雅克比矩阵 |
| 收稿时间： | 2012-03-14 |
A New Method of Rapid Trajectory Optimization for Mars Pin Point Landing |
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| REN Gao feng,CUI Ping yuan,CUI Hu tao,LUAN En jie. A New Method of Rapid Trajectory Optimization for Mars Pin Point Landing[J]. Journal of Astronautics, 2013, 34(4): 464-472. DOI: 10.3873/j.issn.1000-1328.2013.04.003 |
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| Authors: | REN Gao feng CUI Ping yuan CUI Hu tao LUAN En jie |
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| Affiliation: | 1.Deep Space Exploration Research Center, Harbin Institute of Technology， Harbin 150080，China； 2.Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, Beijing 100081, China； 3.Institute of Deep Space Exploration Technology, Beijing Institute of Technology, Beijing 100081, China； 4.Commission of Science Technology and Industry for National Defence, Beijing 100048, China |
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| Abstract: | Aiming at planning the vehicle’s entry trajectory for Mars Pin Point Landing, a new method based on hp Radau pseudospectral algorithm is proposed. The vehicle’s dynamics, state constraints during Mars Entry phase and vehicle’s mobility and safety constraints are taken into consideration synthetically. By combining the properties of collocation points of hp Radau pseudospectral algorithm, the problem of trajectory optimization can be converted into a large scale parameters optimization problem with multi constraints, thus a solving framework of trajectory optimization is obtained. Also, the analytical form of
Jacbian matrix of performance index and constraint equations is derived in order to improve the method’s efficiency. The simulation result indicates that: (1) the hp Radau pseudospectral algorithm can be used to solve the trajectory optimization problem during Mars Entry ,and has more efficient performance compared with the radau pseudospectral algorithm; (2) Compared with the numeric difference method, the analytical form of Jacbian matrix could substantially increase the method’s efficiency and time consuming stability by 58.75% and 85.58% respectively. |
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| Keywords: | hp Radau pseudospectral method Mars pin point landing Trajectory optimization Analytical Jacbian matrix |
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