Dryden型大气紊流对平流层飞艇能量最优轨迹影响

doi:10.7527/S1000-6893.2016.0157

Abstract

Abstract:

This paper investigates the ascent optimal trajectory of stratospheric airship with constant wind and the effect of atmospheric turbulence on optimal trajectory. First, three-degree-of-freedom dynamics model of stratospheric airship was completed by forces analysis, considering the constant wind, earth rotation, mass rate and other factors, and then the variables were scaled to obtain a normalized system equation. Second, this problem of optimal trajectory was transformed into a problem of nonlinear programming by using the direct collocation method. Considering the minimum energy scenario, an appropriate solution for nonlinear programming problem was determined, and the feasible solution was obtained. Then the control history of solution was taken into the system equation to examine the feasibility and the acceleration components were analyzed. Finally, the Dryden atmospheric turbulence was introduced to the minimum energy scene, and then the data of computation and comparison analysis were obtained. By discussing the error between calculation and simulation, the relation of the error of final position and the mean of complex wind was found, and a strategy for resisting the interference of Dryden atmospheric turbulence for stratospheric airships was raised.

Key words: stratospheric airship, trajectory optimization, direct collocation method, nonlinear programming, Dryden atmospheric turbulence

CLC Number:

V19
V274

ZHANG Liming, XING Jianjun, CHEN Ziang, WANG Yi, YU Yang. Effect of Dryden atmospheric turbulence on minimum-energy trajectory of stratospheric airships[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(1): 120180-120180.

References

[1] 李智斌, 吴雷, 张景瑞, 等. 平流层飞艇动力学与控制研究进展[J]. 力学进展, 2012, 42(4):483-493. LI Z B, WU L, ZHANG J R, et al. Review of dynamic and control of stratospheric airships[J]. Advances in Mechanics, 2012, 42(4):483-493(in Chinese).
[2] LI Y W, NAHON M, SHARF I. Airship dynamics modeling:A literature review[J]. Progress in Aerospace Sciences, 2011, 47(3):217-239.
[3] 张礼学, 王中伟. 平流层飞艇环境适应性评价模型[J]. 航空学报, 2013, 34(4):719-726. ZHANG L X, WANG Z W. Environmental adaptabiity evaluation model for stratospheric airships[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(4):719-726(in Chinese).
[4] 郭建国, 周军. 临近空间低动态飞行器控制研究综述[J]. 航空学报, 2014, 35(2):320-331. GUO J G, ZHOU J. Review of the control of low dynamic vehicles in near space[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(2):320-331(in Chinese).
[5] LEE S, BANG H. Three-dimensional ascent trajectory optimization for stratospheric airship platforms in the jet stream[J]. Journal of Guidance, Control, and Dynamics, 2007, 30(5):1341-1352.
[6] LEE S, JANG J, RYU H, et al. Matching trajectory optimization and nonlinear tracking control for HALE[J]. Advances in Space Research, 2014, 54(9):1870-1887.
[7] MUELLER J B, ZHAO Y J, GARRARD W L. Optimal ascent trajectories for stratospheric airships using wind energy[J]. Journal of Guidance, Control, and Dynamics, 2009, 32(4):1232-1245.
[8] GUO X, ZHU M. Ascent trajectory optimization for stratospheric airships with thermal effects[J]. Advances in Space Research, 2013, 52(6):1097-1110.
[9] 赵震炎, 肖业伦, 施毅坚. Dryden大气紊流模型的数字仿真技术[J]. 航空学报, 1986, 7(5):432-443. ZHAO Z Y, XIAO Y L, SHI Y J. A digital simulation technique for Dryden atmospheric turbulence model[J]. Acta Aeronautica et Astronautica Sinica, 1986, 7(5):432-443(in Chinese).
[10] 吉洪蕾, 陈仁良, 李攀. 适用于直升机飞行力学分析的三维空间大气紊流模型[J]. 航空学报, 2014, 35(7):1825-1835. JI H L, CHEN R L, LI P. A model of three-dimensional-field atmospheric turbulence for helicopter flight dynamics analysis[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(7):1825-1835(in Chinese).
[11] DOGAN A, LEWIS T A. Flight data analysis and simulation of wind effects during aerial refueling[J]. Journal of Aircraft, 2008, 45(6):2036-2048.
[12] XING J J, TANG G J, CHENG W K, et al. Robust nonlinear control of spacecraft formation flying using constraint forces[J]. Science China Technological Sciences, 2011, 54(9):2276-2282.
[13] TUCKERMAN L B. Inertia factors of ellopsoids for use in airship design:NACA report No.210[R]. Washington, D.C.:NACA, 1925.
[14] MUELLER J B. Design and analysis of optimal ascent tra-jectories for stratospheric airships[D]. Minnesota:The University of Minnesota, 2013.
[15] 糜攀攀, 孟军辉, 吕明云. 浮升混合飞艇气动性能及总体参数分析[J]. 北京航空航天大学学报, 2015, 41(6):1108-1116. MI P P, MENG J H, LYU M Y. Aerodynamic and over-all parameters analysis of buoyancy-lifting hybrid air-ship[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(6):1108-1116(in Chinese).
[16] MUELLER J B, PALUSZEK M A, ZHAO Y J. Development of an aerodynamic model and control law design for a high altitude airship:AIAA-2004-6479[R]. Reston:AIAA, 2004.
[17] 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, 29(2):397-406. YONG E M, CHEN L, TANG G J. A survey of numerical Methods for trajectory optimization of spacecraft[J]. Journal of Astronautics, 2008, 29(2):397-406(in Chinese).
[18] 张煜, 张万鹏, 陈璟, 等. 基于Gauss伪谱法的UCAV对地攻击武器投放轨迹规划[J]. 航空学报, 2011, 32(7):1240-1251. ZHANG Y, ZHANG W P, CHEN J, et al. Air-to-ground weapon delivery trajectory planning for UCAVs using Gauss pseudospectral method[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(7):1240-1251(in Chinese).
[19] 肖业伦. Dryden大气紊流频谱的等价确定性函数及其在飞机相应问题中的应用[J]. 航空学报, 1986, 7(2):198-204. XIAO Y L. The equivalent deterministic function of the Dryden's spectra of atmospheric turbulence and its application to the aircraft response problem[J]. Acta Aeronautica et Astronautica Sinica, 1986, 7(2):198-204(in Chinese).
[20] CAMPBELL C W. A spatial model of wind shear and turbulence for flight simulation:NASA-TR-TP-2313[R]. Washington, D.C.:NASA, 1984.

Effect of Dryden atmospheric turbulence on minimum-energy trajectory of stratospheric airships

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Chen ZHANG, Hao ZHANG. Lunar-gravity-assisted low-energy transfer from Earth into Distant Retrograde Orbit (DRO) [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(2): 326507-326507.
[2]	YANG Xixiang, ZHU Bingjie, DENG Xiaolong, MA Zhenyu. Development status and simulation analysis of stratospheric airship Stratobus [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(9): 224579-224579.
[3]	JIANG Peng, GUO Dong, HAN Liang, LI Qingdong, REN Zhang. Trajectory optimization for cooperative reentry of multiple hypersonic glide vehicle [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(S1): 723776-723776.
[4]	AN Ze, XIONG Fenfen, LIANG Zhuonan. Landing-phase guidance of rocket using bias proportional guidance and convex optimization [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(5): 323606-323606.
[5]	MA Dongli, ZHANG Liang, YANG Muqing, XIA Xinglu, WANG Shaoqi. Review of key technologies of ultra-long-endurance solar powered unmanned aerial vehicle [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(3): 623418-623418.
[6]	ZHANG Rouhe, FAN Yazhuo, SHE Zhiyong, CUI Naigang. TSTO vehicle first-stage return trajectory: Optimization and onboard generation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(11): 623856-623856.
[7]	WANG Jiawei, ZHANG Ran, HAO Zeming, LI Huifeng. Real-time trajectory optimization for hypersonic vehicles with Proximal-Newton-Kantorovich convex programming [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(11): 624051-624051.
[8]	TIAN Bailing, LI Zhiyu, WU Siyuan, ZONG Qun. Reentry trajectory optimization, guidance and control methods for reusable launch vehicles: Review [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(11): 624072-624072.
[9]	YONG Enmi, LIU Shenshen, CHENG Yanqing, QIAN Weiqi. Mode stability analysis of hypersonic reentry vehicle for trajectory optimization [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(7): 122666-122666.
[10]	ZHANG Yongdong, ZHAI Jiaqi, MENG Xiaojun, WANG Ziwei, ZHANG Yu, WANG Jianxun. Approach for automatic testing of stratospheric airship test based on behavior logic [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(9): 322185-322191.
[11]	ZHAO Da, LIU Dongxu, SUN Kangwen, TAO Guoquan, ZHU Ming, WU Zhe. Research status, technical difficulties and development trend of stratospheric airship [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(1): 45-56.
[12]	LIU Gang, LI Chuanjiang, MA Guangfu. Station-keeping of Tethered Satellite System Around a Halo Orbit Using Nonlinear Model Predictive Control [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(9): 2605-2614.
[13]	DU Xin, LI Haiyang, SHEN Hongxin. Skip Reentry Trajectory Optimization Based on Analysis of Path Constraints [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(5): 1265-1275.
[14]	RUAN Jian'gang, HE Guoqiang, LYU Xiang. Trajectory Optimization Method in Two-stage-to-orbit RBCC-RKT Launch Vehicle [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(5): 1284-1291.
[15]	WANG Pidong, ZHANG Jianguo, MA Zhiyi, SUN Jing, GAO Peng. Pulse Transiently Chaotic Neural Network for the Analysis Method of Reliability [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(2): 469-477.