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论文:2016,Vol:34,Issue(6):963-968 |
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引用本文： |
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聂聪, 张科, 张明环, 王佩. 航空制导炸弹轨迹快速优化研究[J]. 西北工业大学学报 |
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Nie Cong, Zhang Ke, Zhang Minghuan, Wang Pei. Rapid Trajectory Optimization for Air Guided Bomb[J]. Northwestern polytechnical university |
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| 航空制导炸弹轨迹快速优化研究 |
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| 聂聪1,2, 张科1,2, 张明环1,2, 王佩1,2 |
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1. 西北工业大学 航天学院, 陕西 西安 710072;
2. 航天飞行动力学国家级重点实验室, 陕西 西安 710072 |
| 摘要: |
| 针对制导炸弹对地攻击的垂直打击的弹道特点，研究了多约束条件下的轨迹优化问题，提出了一种基于hp自适应Radau伪谱法（hp-RPM）的迭代求解策略。该方法允许不同区间的插值多项式的阶次不同，并以轨迹曲率作为重新分配配点以提高区间求解精度的依据，当各配点处的计算精度达到设定的误差允许范围时，迭代停止。以某航空制导炸弹为对象进行轨迹快速优化，仿真结果表明，该方法能够在多约束条件下快速生成满足要求的轨迹，且解的Hamilton函数满足最优性条件，与常规方法相比，平均增程效果达到11.45%。 |
| 关键词:
制导炸弹
轨迹优化
残差
hp自适应
Radau伪谱法
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| Rapid Trajectory Optimization for Air Guided Bomb |
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| Nie Cong1,2, Zhang Ke1,2, Zhang Minghuan1,2, Wang Pei1,2 |
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1. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| According to the ballistic characteristics of the vertical attack by an aerial guided bomb, we optimize its trajectory and design the iterative variable-order solution strategy based on the hp-adaptive Radau pseudospectral method (hp-RPM) to rapidly optimize the glide trajectory under multiple constraints. The strategy allows for different orders of polynomial approximation in different intervals. We enhance the accuracy of the intervals by redistributing allocation points with the trajectory curvature. We iterate the redistribution of allocation points until their computational accuracy is acceptable to an error-tolerant degree. Then we simulate the rapid optimization of the trajectory of a certain aerial guided bomb. The simulation results show that the strategy can rapidly generate satisfactory trajectories under multiple constraints and that the Hamilton function of the solution satisfies optimal performance conditions. Compared with the conventional strategies, the trajectory optimized with our strategy is improved by an average of 11.46%. |
| Key words:
guided bomb
trajectory optimization
residual
hp-adaptive
Radau pseudospectral method
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| 收稿日期: 2016-09-04
修回日期:
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| DOI: |
| 基金项目: 国家自然基金（61502391）与航天支撑基金（N2015KC0121）资助 |
| 通讯作者:
Email： |
| 作者简介: 聂聪(1986-),西北工业大学博士研究生,主要从事飞行器导航、制导与控制的研究。
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| 相关功能 |
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| 作者相关文章 |
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| 聂聪 在本刊中的所有文章 |
| 张科 在本刊中的所有文章 |
| 张明环 在本刊中的所有文章 |
| 王佩 在本刊中的所有文章 |
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参考文献: |
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[1] 贾秋锐,孙媛媛,肖树臣,等. 航空制导炸弹发展趋势[J]. 制导与引信, 2014, 35(1):8-11 Jia Qiurui, Sun Yuanyuan, Xiao Shuchen,等. Development Trend of the Aerial Guided Bomb[J]. Guidance & Fuze, 2014, 35(1):8-11(in Chinese)
[2] 孙勇,张卯瑞,梁晓玲. 求解含复杂约束非线性最优控制问题的改进Gauss伪谱法[J]. 自动化学报, 2013, 39(5):672-678 Sun Yong, Zhang Maorui, Liang Xiaoling. Improved Gauss Pseudospectral Method for Solving Nonlinear Optimal Control Problem with Complex Constraints[J]. Acta Automatica Sinica, 2013, 39(5):672-678(in Chinese)
[3] 雍恩米,唐国金,陈磊. 基于Gauss伪谱方法的高超声速飞行器再入轨迹快速优化[J]. 宇航学报, 2008, 29(6):1766-1772 Yong Enmi, Tang Guojin, Chen Lei. Rapid Trajectory Optimization for Hypersonic Reentry Vehicle via Gauss Pseudospectral Method[J]. Journal of Astronautics, 2008, 29(6):1766-1772(in Chinese)
[4] Elnagar G, Kazemi M A, Mchen R. The Pseudospectral Legendre Method for Discretizing Optimal Control Problems[J]. IEEE Trans on Automatic Control, 1995, 40(10):1793-1796
[5] 董春云,蔡远利. 高超声速再入飞行器轨迹优化算法评估策略[J]. 西安交通大学学报, 2016, 50(4):28-34 Dong Chunyun, Cai Yuanli. An Evaluation Strategy of Trajectory Optimization Algorithms for Hypersonic Reentry Vehicle[J]. Journal of Xi'an Jiaotong University, 2016, 50(4):28-34(in Chinese)
[6] Huntingtong G T, Benson D, Rao A V. Comparison of Accuracy and Computational Efficiency of Three Pseudospectral Methods[C]//AIAA Guidance, Navigation and Control Conference and Exhibit, 2007:1-25
[7] Gandhi M, Theodonu E. A Comparison between Trajectory Optimization Methods:Differential Dynamic Programming and Pseudospectral Optimal Control[C]//AIAA Guidance, Navigation and Control Confesence, 2016:1-6
[8] Rexius S L, Rexius T E, Jorris T L, et al. Advances in Highly Constrained Multi-Phase Trajectory Generation using the General Pseudospectral Optimization Software (GPOPS)[C]//AIAA Guidance, Navigation and Control Confesence, 2013:1-6
[9] 袁宴波,张科,薛晓东. 基于Radau伪谱法的制导炸弹最优滑翔弹道研究[J]. 兵工学报, 2014, 35(8):1179-1186 Yuan Yanbo, Zhang Ke, Xue Xiaodong. Optimization of Glide Trajectory of Guided Bombs Using a Radau Pseudo-Spectral Method[J]. Acta Armamentarii, 2014, 35(8):1179-1186(in Chinese)
[10] Guo T D, Li J F, Baotys H X, et al. Pseudospectral Methods for Trajectory Optimization with Interior Point Constraints:Verification and Applications[J]. IEEE Trans on Aerospace and Electronic Systems. 2013, 49(3):2005-2017
[11] 王丽英,张友安,赵国荣. 改进的hp自适应网格细化算法及应用[J]. 弹道学报. 2013, 25(1):16-21 Wang Liying, Zhang Youan, Zhao Guorong. Improved Hp-Adaptive Mesh Refinement Algorithm and Its Application[J]. Journal of Ballistics, 2013, 25(1):16-21(in Chinese) |
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