考虑随机干扰的高超声速滑翔飞行器轨迹优化

国海峰; 黄长强; 丁达理; 肖红

doi:10.13700/j.bh.1001-5965.2013.0755

考虑随机干扰的高超声速滑翔飞行器轨迹优化

doi: 10.13700/j.bh.1001-5965.2013.0755

空军工程大学航空航天工程学院, 西安 710038

基金项目: 航空科学基金资助项目（20105196016）

详细信息

作者简介:
国海峰（1985-），男，山东泰安人，博士生，guohaifeng12345@sina.com.

中图分类号: V448.23
计量
- 文章访问数: 1371
- HTML全文浏览量: 41
- PDF下载量: 792
- 被引次数: 0
出版历程
- 收稿日期: 2014-01-10
- 网络出版日期: 2014-09-20

Trajectory optimization for hypersonic gliding vehicle considering stochastic disturbance

Aeronautics and Astronautics Engineering College, Air force Engineering University, Xi'an 710038, China

摘要

摘要: 为解决高超声速滑翔式飞行器具有干扰不确定性的再入轨迹优化问题，提出了一种基于广义正交多项式方法的随机轨迹优化数值求解方法。针对随机干扰，基于广义正交多项式方式对其分布进行采样，形成采样空间，而后将每个采样值代入确定性轨迹优化问题中进行反复迭代求解，得出观测值的样本空间，并计算其期望、方差和协方差，估计输出值。以最大纵程为代价函数对具有随机干扰的高超声速滑翔式飞行器最优轨迹进行了数字仿真。仿真结果表明，基于广义正交多项式的随机轨迹优化方法能够有效处理随机干扰对轨迹优化问题的影响，与蒙特卡洛法相比计算效率大大提高。
- 随机 /
- 干扰 /
- 高超声速 /
- 滑翔 /
- 再入 /
- 轨迹优化 /
- 广义正交多项式
Abstract: To solve the problem of the reentry trajectory optimization for the hypersonic gliding vehicle with stochastic disturbance, the numerical method of trajectory optimization based on the generalized polynomial chaos was put forward. The sampling space was formed by the sampling of stochastic variable using generalized polynomial chaos. The space of the observations came into being after putting every sampling value into solving the problem of the deterministic trajectory optimization iteratively. The expected value, variance and covariance were computed and the outputs were approximated. The simulation of maximizing the downrange angle of the reentry trajectory optimization for the hypersonic gliding vehicle with stochastic disturbance was carried out based on this method. The results of the simulation indicate that the method could solve the problem of trajectory optimization with stochastic disturbance, and the computational efficiency was improved greatly contrasted with the Monte Carlo method.
- stochastic /
- disturbance /
- hypersonic /
- gliding /
- reentry /
- trajectory optimization /
- generalized polynomial chaos

HTML全文

参考文献(15)

[1]	Woolf A F.Conventional prompt global strike and long-range ballistic missiles:background and issues[R].ADA577938,2013
[2]	李惠峰,谢陵.基于预测校正方法的RLV再入制导律设计[J].北京航空航天大学学报,2009, 35(11):1344-1348 Li Huifeng,Xie Ling.Reentry guidance law design for RLV based on predictor-corrector method[J].Journal of Beijing University of Aeronautics and Astronautics,2009,35(11):1344-1348(in Chinese)
[3]	王俊波,宋勋,宋剑爽,等.高超声速再入滑翔飞行器多约束轨迹快速优化[J].北京航空航天大学学报,2011,37(7):777-781 Wang Junbo,Song Xun,Song Jianshuang,et al.Rapid trajectory optimization for hypersonic reentry vehicles with multi-constraints[J].Journal of Beijing University of Aeronautics and Astronautics,2011,37(7):777-781(in Chinese)
[4]	梁子旋,任章.基于在线气动参数修正的预测制导方法[J].北京航空航天大学学报,2013,39(7):853-857 Liang Zixuan,Ren Zhang.Predictive reentry guidance with aerodynamic parameter online correction[J].Journal of Beijing University of Aeronautics and Astronautics,2013,39(7):853-857(in Chinese)
[5]	Rao A V,Clarke K A.Performance optimization of maneuvering re-entry vehicle using a legendre pseudospectral method[C]//AIAA Atmospheric Flight Mechanics Conference and Exhibit.Reston:AIAA,2002:1-13
[6]	Xue S B,Ping L.Constrained predictor corrector entry guidance[J].Journal of Guidance Control and Dynamics,2010,33(4):1273-1281
[7]	Xiu D.Efficient collocational approach for parametric uncertainty analysis[J].Communications in Computational Physics,2007,2(2):293-309
[8]	Xiu D.Fast numerical methods for stochastic computations:a review[J].Communications in Computational Physics,2009,5(4):242-272
[9]	Cottrill G C.Hybrid solution of stochastic optimal control problems using gauss pseudespectral method and generalized polynomial chaos algorithms[D].Ohio:Air University,2012
[10]	Maj G C.Hybrid gauss pseudespectral and generalized polynomial chaos algorithms to solve stochastic trajectory optimization problems[C]//AIAA Guidance,Navigation,and Control Conference.Reston:AIAA,2011:6572-6588
[11]	雍恩米,唐国金,陈磊.基于Gauss伪谱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)
[12]	Phillips T H.A common aero vehicle(CAV)model,description,and employment guide[R/OL].2003[2013-12-12].http://www.dtic.Mil/matrics/sbir/sbir041/srch/af031a.doc
[13]	Xiu D B.Numerical methods for stochastic computations:a spectral method approach[M].Princeton:Princeton University Press,2010
[14]	国海峰,黄长强,丁达理,等.多约束条件下高超声速导弹再入轨迹优化[J].弹道学报,2013,25(1):11-15 Guo Haifeng,Huang Changqiang,Ding Dali,et al.Re-entry trajectory optimization for supersonic missile considering multiple constraints[J].Journal of Ballistics,2013,25(1):11-15(in Chinese)
[15]	Benson D.A gauss pseudospectral transcription for optimal control[D].Cambridge:Massachusetts Institute of Technology,2005