高超声速伸缩式变形飞行器再入轨迹快速优化

doi:10.12305/j.issn.1001-506X.2021.08.25

Abstract

Abstract:

Aiming at the reentry trajectory optimization problem for hypersonic deformable vehicle, a fast optimization method based on improved Gauss pseudospectral method (GPM) is studied. Firstly, a reentry trajectory optimization model is established for a hypersonic deformable vehicle with retractable wing, which extends the span deformation as a control variable. Secondly, the GPM is used to transcribe the trajectory optimization problem into a nonlinear programming (NLP) problem, and based on the sparsity of the NLP partial derivative, the objective function gradient and the constrained Jacobian matrix are calculated efficiently. Finally, the maximum lateral range, reentry reachable area, maximum terminal speed and minimum flight time of the deformed aircraft are optimized. The simulation results show that the derived gradient calculation method can effectively improve the optimization solution efficiency. The performance of the deformed aircraft is better than that of the fixed-shape vehicle, and the maximum lateral range, reach area coverage, maximum terminal speed and minimum flight time have all been significantly improved.

Key words: hypersonic vehicle, deformable vehicle, trajectory optimization, Gauss pseudospectral method (GPM), sparsity

CLC Number:

V448.235

Caihong YUE, Shengjing TANG, Jie GUO, Xiao WANG, Haoqiang ZHANG. Reentry trajectory rapid optimization for hypersonic telescopic deformable vehicle[J]. Systems Engineering and Electronics, 2021, 43(8): 2232-2243.

Figures/Tables 29

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References 30

1	BARBARINO S , BILGEN O , AJAJ R M , et al. A review of morphing aircraft[J]. Journal of Intelligent Material Systems & Structures, 2011, 22 (9): 823- 877.
2	KUDVA J N . Overview of the DARPA smart wing project[J]. Journal of Intelligent Material Systems and Structures, 2004, 15 (4): 261- 268. doi: 10.1177/1045389X04042796
3	BAO C Y, WANG P, TANG G J. Integrated method of guidance control and morphing for hypersonic morphing vehicle in glide phase[J]. Chinese Journal of Aeronautics. DOI: https://doi.org/10.1016/j.cja.2020.11.009.
4	BAE J S , SEIGLER T M , INMAN D J . Aerodynamic and static aeroelastic characteristics of a variable-span morphing wing[J]. Journal of Aircraft, 2005, 42 (2): 528- 534. doi: 10.2514/1.4397
5	SECANELL M , SULEMAN A , GAMBOA P . Design of a morphing airfoil using aerodynamic shape optimization[J]. AIAA Journal, 2006, 44 (7): 1550- 1562. doi: 10.2514/1.18109
6	白鹏, 陈钱, 徐国武, 等. 智能可变形飞行器关键技术发展现状及展望[J]. 空气动力学学报, 2019, 37 (3): 426- 443. doi: 10.7638/kqdlxxb-2019.0030
	BAI P , CHEN Q , XU G W , et al. Development status of key technologies and exception about smart morphing aircraft[J]. Acta Aerodynamica Sinica, 2019, 37 (3): 426- 443. doi: 10.7638/kqdlxxb-2019.0030
7	LU P . Entry guidance: a unified method[J]. Journal of Gui-dance Control and Dynamics, 2014, 37 (3): 713- 728. doi: 10.2514/1.62605
8	KUMAR G N , IKRAM M , SARKAR A K , et al. Hypersonic flight vehicle trajectory optimization using pattern search algorithm[J]. Optimization and Engineering, 2018, 19 (1): 125- 161. doi: 10.1007/s11081-017-9367-0
9	LI G H , ZHANG H B , TANG G J . Maneuver characteristics analysis for hypersonic glide vehicles[J]. Aerospace Science and Technology, 2015, 43 (6): 321- 328.
10	SARAH N D , NESRIN S K . Survey of planetary entry guidance algorithms[J]. Progress in Aerospace Sciences, 2014, 68 (1): 22- 28.
11	ZHAO J , ZHOU R , JIN X L . Progress in reentry trajectory planning for hypersonic vehicle[J]. Journal of Systems Engineering and Electronics, 2014, 25 (4): 627- 639. doi: 10.1109/JSEE.2014.00073
12	JASA J P, HWANG J T, MARTINS J. Design and trajectory optimization of a morphing wing aircraft[C]//Proc. of the AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018.
13	ORLITA M, VOS R. Cruise performance optimization of the airbus A320 through flap morphing[C]//Proc. of the 17th AIAA Aviation Technology, Integration, and Operations Conference, 2017.
14	彭悟宇, 杨涛, 王常悦, 等. 高超声速伸缩翼变形飞行器轨迹多目标优化[J]. 国防科技大学学报, 2019, 41 (1): 44- 50.
	PENG W Y , YANG T , WANG C Y , et al. Trajectory multi-objective optimization for hypersonic telescopic wing morphing aircraft[J]. Journal of National University of Defense Techno-logy, 2019, 41 (1): 44- 50.
15	陈铁彪, 龚旻, 王洪波, 等. 临近空间可变形滑翔飞行器轨迹优化与性能分析[J]. 宇航学报, 2018, 39 (9): 944- 952.
	CHEN T B , GONG M , WANG H B , et al. Trajectory optimization and performance analysis of the near space morphing glid vehicles[J]. Journal of Astronautics, 2018, 39 (9): 944- 952.
16	徐文萤, 江驹, 甄子洋, 等. 改进多段高斯伪谱法的近空间可变翼飞行器小翼伸缩优化研究[J]. 哈尔滨工程大学学报, 2020, 41 (7): 1043- 1051.
	XU W Y , JIANG J , ZHEN Z Y , et al. Stretch-out and drawback optimization of the winglets of near-space morphing hypersonic aircraft based on the improved multiband Gauss pseudospectrum[J]. Journal of Harbin Engineering University, 2020, 41 (7): 1043- 1051.
17	BETTS J T . Practical methods for optimal control and estimation using nonlinear programming[J]. Applied Mathematics Reviews, 2002, 55 (4): 61- 82.
18	DENNIS M E , HAGER W W , RAO A V . Computational method for optimal guidance andcontrol using adaptive Gaussian quadrature collocation[J]. Journal of Guidance, Control, and Dynamics, 2019, 42 (9): 2026- 2041. doi: 10.2514/1.G003943
19	DARBY C L , GARG D , RAO A V . Costate estimation using multiple-interval pseudospectral methods[J]. Journal of Space-craft Rockets, 2011, 48 (5): 856- 866. doi: 10.2514/1.A32040
20	GARG D , PATTERSON M , HAGER W W , et al. A unified framework for the numerical solution of optimal control problems using pseudospectral methods[J]. Automatica, 2010, 46 (11): 1843- 1851. doi: 10.1016/j.automatica.2010.06.048
21	GONG Q , FAHROO F , ROSS I M . Spectral algorithm for pseudospectral methods in optimal control[J]. Journal of Gui-dance, Control and Dynamics, 2008, 31 (3): 460- 471. doi: 10.2514/1.32908
22	BENSON D A , HUNTINGTON G T , THORVALDSEN T P , et al. Direct trajectory optimization and costate estimation via an orthogonal collocation method[J]. Journal of Guidance, Control, and Dynamics, 2006, 29 (6): 1435- 1440. doi: 10.2514/1.20478
23	赵吉松, 张建宏, 李爽. 高超声速滑翔飞行器再入轨迹快速、高精度优化[J]. 宇航学报, 2019, 40 (9): 1034- 1043.
	ZHAO J S , ZHANG J H , LI S . Rapid and high-accuracy approach for hypersonic glide vehicle reentry trajectory optimization[J]. Journal of Astronautics, 2019, 40 (9): 1034- 1043.
24	BETTS J T , HUFFMAN W P . Exploiting sparsity in the direct transcription method for optimal control[J]. Computational Optimization & Applications, 1999, 14 (2): 179- 201. doi: 10.1023/A%3A1008739131724
25	PATTERSON M A , RAO A V . Exploiting sparsity in direct collocation pseudospectral methods for solving optimal control problems[J]. Journal of Spacecraft and Rockets, 2012, 49 (2): 364- 377.
26	AGAMAWI Y M, RAO A V. Exploiting sparsity in direct orthogonal collocation methods for solving multiple-phase optimal control problems[C]//Proc. of the AIAA Space Flight Mechanics Meeting, 2018.
27	彭悟宇, 杨涛, 涂建秋, 等. 高超声速变形飞行器翼面变形模式分析[J]. 国防科技大学学报, 2018, 40 (3): 15- 21.
	PENG W Y , YANG T , TU J Q , et al. Analysis on wing deformation modes of hypersonic morphing aircraft[J]. Journal of National University of Defense Technology, 2018, 40 (3): 15- 21.
28	杨博, 朱一川, 魏延明, 等. 折叠式变体飞行器轨迹优化及控制分析[J]. 中国空间科学技术, 2020, 40 (3): 64- 75.
	YANG B , ZHU Y C , WEI Y M , et al. Trajectory optimization and control analysis of folding wing aircraft[J]. Chinese Space Science and Technology, 2020, 40 (3): 64- 75.
29	SHEN Z , LU P . Onboard generation of three-dimensional constrained entry trajectories[J]. Journal of Guidance Control & Dynamics, 2003, 26 (1): 111- 121.
30	赵江, 周锐. 基于粒子群优化的再入可达区计算方法研究[J]. 兵工学报, 2015, 36 (9): 1680- 1687. doi: 10.3969/j.issn.1000-1093.2015.09.012
	ZHAO J , ZHOU R . Landing footprint computation based on particle swarm optimization[J]. Acta Armamentarii, 2015, 36 (9): 1680- 1687. doi: 10.3969/j.issn.1000-1093.2015.09.012

升力系数	原外形	变形1	变形2	阻力系数	原外形	变形1	变形2
p₀	0.121	0.213 5	0.190 3	q₀	0.037 72	0.065 33	0.090 67
p₁	-0.017 4	-0.035 6	-0.034 7	q₁	0.005 36	0.001 05	-0.002 6
p₂	0.403 2	1.25	2.243	q₂	-0.679 1	-0.642 1	-0.674 7
p₃	0.000 58	0.001 33	0.001 35	q₃	-0.000 3	-0.000 2	-0.000 1
p₄	0.005 9	-0.012 2	-0.035	q₄	0.009 98	0.003 22	0.001 92
p₅	6.137	5.128	4.998	q₅	4.398	4.972	5.834
RS系数	0.988 9	0.990 9	0.985 2	RS系数	0.944 6	0.986 3	0.993 2

参数	初始	终端
高度h/km	60	30
经度λ/(°)	0	自由
纬度ϕ/(°)	0	自由
速度V/(m·s^-1)	6 000	2 000
航迹角θ/(°)	0	自由
航向角ψ/(°)	90	自由

目标函数	配点数目	NLP计算方法	耗时/s
最大纬度	10	本文方法	24.31
	10	有限差分法	739.02
	20	本文方法	23.44
	20	有限差分法	2 031.21
最大速度	10	本文方法	38.40
	10	有限差分法	1 199.03
	20	本文方法	37.39
	20	有限差分法	2 810.08
最小飞行时间	10	本文方法	12.80
	10	有限差分法	446.76
	20	本文方法	33.89
	20	有限差分法	2 711.35

飞行器类型	经度/(°)	纬度/(°)	航程/km
变形飞行器	38.66	38.94	5 855.6
固定外形飞行器	31.87	25.58	4 453.1

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[8]	Rongyan XI, Tianyao HUANG, Guangbin ZHANG, Lei WANG, Yimin LIU. Forward-looking imaging based on alternating descent conditional gradient [J]. Systems Engineering and Electronics, 2021, 43(9): 2439-2447.
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Reentry trajectory rapid optimization for hypersonic telescopic deformable vehicle

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