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论文:2016,Vol:34,Issue(5):790-797 |
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引用本文： |
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刘瑞帆, 于云峰, 闫斌斌. 基于改进hp自适应伪谱法的高超声速飞行器上升段轨迹规划[J]. 西北工业大学学报 |
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Liu Ruifan, Yu Yunfeng, Yan Binbin. Ascent Phase Trajectory Optimization for Hypersonic VehicleBased on hp-Adaptive Pseudospectral Method[J]. Northwestern polytechnical university |
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| 基于改进hp自适应伪谱法的高超声速飞行器上升段轨迹规划 |
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| 刘瑞帆, 于云峰, 闫斌斌 |
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| 西北工业大学 航天学院, 陕西 西安 710072 |
| 摘要: |
| 针对高超声速飞行器的上升段轨迹优化问题，提出了一种改进的hp自适应Radau伪谱法。该算法将轨迹划分为多个子区间，采用双层优化策略迭代调整子区间个数和区间内的配点数。首先，以微分-代数约束在采样点处的相对误差作为解的误差评估准则；在需要提高精度的区间，将相对误差作为迭代判据，若通过相对误差求得的多项式阶数小于允许的最大阶数，增加区间内的配点数（p法）；否则，细化时间区间（h法）来提高求解精度。仿真结果表明，相较于h方法和p方法，文中的算法在求解最优问题时配点总数更少，求解效率更高。 |
| 关键词:
上升段
轨迹优化
hp自适应
伪谱法
高超声速飞行器
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| Ascent Phase Trajectory Optimization for Hypersonic VehicleBased on hp-Adaptive Pseudospectral Method |
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| Liu Ruifan, Yu Yunfeng, Yan Binbin |
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| School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| An improved hp-adaptive pseudospectral method is developed in the present paper for solving hypersonic vehicle trajectory optimization in ascent phase. The method adopts double-layer optimization strategy to adjust both the mesh spacing and the degree of the polynomial on each interval. First, a relative error estimate is derived based on the residual of the differential-algebraic constraints at sample points. The derived relative error estimate is then used to predict the polynomial degree within a mesh interval. If the polynomial degree estimate remains below a maximum allowable degree, the degree of polynomial is increased to degree estimate. Otherwise, the mesh interval is divided into subinterval. Simulation results show the proposed method is more efficient than either h method or p method. |
| Key words:
non-smooth
ascent phase
hp-adaptive
pseudospectral method
double-layer optimization
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| 收稿日期: 2016-04-02
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金（61104195、61503302）与西北工业大学基础研究基金（GKEY1003）资助 |
| 通讯作者:
Email： |
| 作者简介: 刘瑞帆(1995-),女,西北工业大学硕士研究生,主要从事高超声速飞行器制导研究。
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参考文献: |
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[1] Betts J T. Survey of Numerical Methods for Trajectory Optimization[J]. Journal of Guidance Control And Dynamics, 1998, 21:193-207
[2] 雍恩米,陈磊,唐国金.飞行器轨迹优化数值方法综述[J]. 宇航学报,2008(2):397-406 Yong Enmi, Chen Lei, Tang Guojin. A Survey of Numerical Methods for Trajectory Optimization of Spacecraft[J]. Journal of Astronautics, 2008(2):397-406(in Chinese)
[3] 黄长强,国海峰,丁达理. 高超声速滑翔飞行器轨迹优化与制导综述[J]. 宇航学报, 2014(4):369-379 Huang Changqiang, Guo Haifeng, Ding Dali. A Survey of Trajectory Optimization and Guidance for Hypersonic Gliding Vehicle[J]. Journal of Astronautics, 2014(4):369-379(in Chinese)
[4] Ma L, Shao Z J, Chen W F, et al. Three-Dimensional Trajectory Optimization for Lunar Ascent Using Gauss Pseudospectral Method[R]. AIAA-2016-1372
[5] 白瑞光. 基于Gauss伪谱法的多UAV协同航迹规划[J]. 宇航学报,2014(9):1022-1029 Bai Ruiguang. Multiple UAV Cooperative Trajectory Planning Based on Gauss Pseudospectral Method[J]. Journal of Astronautics, 2014(9):1022-1029(in Chinese)
[6] 彭祺擘,李海阳,沈红新. 基于高斯-伪谱法的月球定点着陆轨道快速优化设计[J]. 宇航学报, 2010, 31(4):1012-1016 Peng Qibo, Li Haiyang, Shen Hongxin. Rapid Lunar Exact-Landing Trajectory Optimization via Guass Pseudospectral Method[J]. Journal of Astronautics, 2010, 31(4):1012-1016(in Chinese)
[7] 宗群,田栢苓,窦立谦. 基于Gauss伪谱法的临近空间飞行器上升段轨迹优化[J]. 宇航学报,2010(7):1775-1781 Zong Qun, Tian Bailing, Dou Liqian. Ascent Phase Trajectory Optimization for Near Space Vehicle Based on Gauss Pseudospectral Method[J]. Journal of Astronautics, 2010(7):1775-1781(in Chinese)
[8] Huntington G T, Rao A V. Comparison of Global and Local Collocation Methods for Optimal Control[J]. Journal of Guidance, Control, and Dynamics, 2008, 31:432-436
[9] Zhao J, Zhou R. Reentry Trajectory Optimization for Hypersonic Vehicle Satisfying Complex Constraints[J]. Chinese Journal of Aeronautics, 2013, 26:1544-1553
[10] 赵吉松,谷良贤,佘文学. 配点法和网格细化技术用于非光滑轨迹优化[J]. 宇航学报, 2013(11):1442-1450 Zhao Jisong, Gu Liangxian, She Wenxue. Application of Local Collocation Method and Mesh Refinement to Non-Smooth Trajectory Optimization[J]. Journal of Astronautics, 2013(11):1442-1450
[11] 陈琦. 求解非光滑最优控制问题的自适应网格优化[J]. 系统工程与电子技术, 2015,37(6):1377-1383 Chen Qi. Adaptive Mesh Refinement for Solving Non-Smooth Optimal Control Problem[J]. Systems Engineering and Electronics, 2015, 37(6):1377-1383(in Chinese)
[12] Arby C L, Hager W W, Rao A V. An hp-Adaptive Pseudospectral Method for Solving Optimal Control Problems[J]. Optimal Control Applications & Methods, 2011, 32:476-502
[13] Darby C L, Hager W W, Rao A V. Direct Trajectory Optimization Using a Variable Low-Order Adaptive Pseudospectral Method[J]. Journal of Spacecraft and Rockets, 2011, 48:433-445
[14] 洪蓓,辛万青. hp自适应伪谱法在滑翔弹道快速优化中的应用[J]. 计算机测量与控制, 2012(05):1283-1286. Hong Bei, Xin Wanqing. Application of hp-Adaptive Pseudospectral Method in Rapid Gliding Trajectory Optimization[J]. Computer Measurement & Control, 2012(05):1283-1286(in Chinese)
[15] 王海涛. 基于hp自适应Radau伪谱法的再入飞行器轨迹优化[J]. 科学技术与工程, 2015(02):165-171 Wang Haitao. Track Optimizing for Reentry Vehicle Based on hp-Adaptive Radau Pseudospectral Method[J]. Science Technology and Engineering, 2015(02):165-171(in Chinese)
[16] Morimoto H. Trajectory Optimization for a Hypersonic Vehicle with Constraint[D]. Atlanta, Georgia Institute of Technology, 1997
[17] Phillips T H. A Common Aero Vehicle(CAV) Model, Description, and Employment Guide[R]. Technical Report, Schafer Corporation for AFRL and AF-SPC, 2003
[18] Bengson D. A Gauss Pseudospectral Transcription for Optimal Control[D]. Colorado, Massachusetts Institute of Technology, 2005
[19] Hou H, Hager W W, Rao A V. Convergence of a Gauss Pseudospectral Transcription for Optimal Control[C]//2012 AIAA Guidance, Navigation, and Control Conference, Minneapolis, MN, 2012 |
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