ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Missile warning constellation optimization based on search space transformation and ordinal optimization
Received date: 2015-10-23
Revised date: 2016-02-29
Online published: 2016-03-02
Supported by
National Natural Science Foundation of China (61370013, 91438202)
High earth orbit missile warning satellite constellation is composed of several satellites operating on the geostationary orbit and highly elliptical orbit. The coverage requirement and positioning precision are the most important objectives of its constellation optimization. For the coverage optimization, the coverage requirement is determined by the threat degrees of different areas. For the positioning optimization, the positional precision in multi coverage and single coverage regions is different. These two facts define the constellation optimization as a complicated multi-regional multi-objective problem. To deal with this problem, a multi-layer multi-objective model which is able to describe the problem efficiently is proposed. Then a method which defines the optimization as a process with two steps is introduced to solve the problem. In the process of coverage optimization, a rapid method based on search space transformation is introduced to the calculation of Pareto optimal, which is time saving and improves the accuracy. In the process of positioning optimization, the ordinal optimization is proposed to save the time of optimization. Finally, the validity of the algorithm is tested by the numerical experiment. And the time consumption of the entire optimization is less than one minute.
Key words： satellites; constellation; regional coverage; multi-objective; optimization
LIU Bing , YI Taihe , SHEN Zhen , YI Dongyun . Missile warning constellation optimization based on search space transformation and ordinal optimization[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016 , 37(11) : 3413 -3424 . DOI: 10.7527/S1000-6893.2016.0053
[1] 王群. 美国新一代导弹预警卫星系统及其能力分析[J]. 国防科技, 2012, 33(2):7-12. WANG Q. A new generation of USA missile warning satellites system and its ability[J]. National Defense Science and Technology, 2012, 33(2):7-12(in Chinese).
[2] 丁国振, 张占月, 郭力闻, 等. SBIRS-GEO卫星预警探测流程及信噪比阈值建模分析[J]. 装备学院学报, 2014, 25(5):78-82. DING G Z, ZHANG Z Y, GUO L W, et al. Simulation and analysis of workflow and signal-to-noise ratio threshold for SBIRS-GEO early warning satellite's detector[J]. Journal of Equipment Academy, 2014, 25(5):78-82(in Chinese).
[3] 李小将, 金山, 廖海玲, 等. 美军SBIRS GEO-1预警卫星探测预警能力分析[J]. 激光与红外, 2013, 43(1):3-8. LI X J, JIN S, LIAO H L, et al. Analysis on infrared detecting and early warning capabilities of America's SBIRS GEO-1 satellite[J]. Laser & Infrared, 2013, 43(1):3-8(in Chinese).
[4] ZHONG Y, WU X Y, HUANG S C. Geometric dilution of precision for bearing-only passive location in three-dimensional space[J]. Electronics Letters, 2015, 51(6):518-519.
[5] 申镇, 强胜, 张寅生, 等. 单星无源探测弹道导弹射向估计新方法[J]. 宇航学报, 2011, 32(7):1451-1456. SHEN Z, QIANG S, ZHANG Y S, et al. New method on course heading estimation with single satellite's passive detection[J]. Journal of Astronautics, 2011, 32(7):1451-1456(in Chinese).
[6] RUDD J G, MARSH R A, ROECKER J A. Surveillance and tracking of ballistic missile launches[J]. IBM Journal of Research & Development, 1994, 38(2):195-216.
[7] BEAULIEU M R. Launch detection satellite system engineering error analysis[D]. Monterey, CA:Naval Postgraduate School, 1996.
[8] 胡磊, 闫世强, 刘辉, 等. 美国GEO预警卫星覆盖性能分析[J]. 空军预警学院学报, 2012, 26(6):404-408. HU L, YAN S Q, LIU H, et al. Analysis of coverage performance on US GEO early warning satellites[J]. Journal of Air Force Radar Academy, 2012, 26(6):404-408(in Chinese).
[9] 毛艺帆, 张多林, 王路. 美国SBIRS-HEO卫星预警能力分析[J]. 红外技术, 2014, 36(6):467-470. MAO Y F, ZHANG D L, WANG L. Analysis on early warning capability of USA's SBIRS-HEO satellite[J]. Infrared Technology, 2014, 36(6):467-470(in Chinese).
[10] 阎志伟, 田菁, 李汉铃. 基于改进的NSGA-II算法的区域覆盖卫星星座优化[J]. 空间科学学报, 2004, 24(1):43-50. YAN Z W, TIAN J, LI H L. Optimization of regional coverage satellite constellation by improved NSGA-II algorithm[J]. Chinese Journal of Space Science, 2004, 24(1):43-50(in Chinese).
[11] 阎志伟, 陈璟, 李汉铃. 空间预警系统任务分析/规划仿真环境[J]. 系统仿真学报, 2004, 16(6):1202-1205. YAN Z W, CHEN J, LI H L. A mission analysis and planning simulation environment for space early warning system[J]. Acta Simulata Systematica Sinica, 2004, 16(6):1202-1205(in Chinese).
[12] 钟宇, 吴晓燕, 黄树彩, 等. 面向区域的GEO红外预警卫星部署研究[J]. 电光与控制, 2015, 22(7):79-83. ZHONG Y, WU X Y, HUANG S C, et al. Area-oriented GEO IR early-warning satellite deployment[J]. Electronics Optics & Control, 2015, 22(7):79-83(in Chinese).
[13] 张雅声, 姚勇. 异构预警卫星星座设计与分析[J]. 装备指挥技术学院学报, 2009, 20(3):47-51. ZHANG Y S, YAO Y. Design and analysis of non-isomorphic early warning satellites constellation[J]. Journal of the Academy of Equipment Command & Technology, 2009, 20(3):47-51(in Chinese).
[14] 王瑞, 马兴瑞, 李明. 采用遗传算法进行区域覆盖卫星星座优化设计[J]. 宇航学报, 2002, 23(3):24-28. WANG R, MA X R, LI M. Optimization of regional coverage satellite constellations by genetic algorithm[J]. Journal of Astronautics, 2002, 23(3):24-28(in Chinese).
[15] MATOSSIAN M G. Multi-satellite constellation configuration selection for multiregional highly elliptical orbit constellations[C]//Proceedings of the Second Annual International Space University Alumni Conference. Washington, D.C.:NASA, 1994:126-136.
[16] 蒙波, 伊成俊, 韩潮. 基于多目标粒子群算法的导航星座优化设计[J]. 航空学报, 2009, 30(7):1284-1291. MENG B, YI C J, HAN C. Optimization of navigation satellite constellation by multi-objective particle swarm algorithm[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30(7):1284-1291(in Chinese).
[17] ASGARIMEHR M, HOSSAINALI M M. Optimization of geosynchronous satellite constellation for independent regional navigation and positioning in Middle East region[J]. Acta Astronautica, 2014, 104(1):147-158.
[18] FERRINGER M P, CLIFTON R S, THOMPSON T G. Constellation design with parallel multi-objective evolutionary computation[C]//Proceedings of AIAA/AAS Astrodynamics Specialist Conference. Reston:AIAA, 2006:21-24.
[19] CUI H Z, HAN C. Satellite constellation configuration design with rapid performance calculation and ordinal optimization[J]. Chinese Journal of Aeronautics, 2011, 24(5):631-639.
[20] 韩潮, 邓丽, 徐嘉. 一种改进的区域覆盖星座优化设计方法[J]. 上海航天, 2005, 22(1):11-14. HAN C, DENG L, XU J. Improved method of optimal regional coverage constellation[J]. Aerospace Shanghai, 2005, 22(1):11-14(in Chinese).
[21] TRISHCHENKO A P, GARAND L. Spatial and temporal sampling of polar regions from two-satellite system on Molniya orbit[J]. Journal of Atmospheric & Oceanic Technology, 2011, 28(8):977-992.
[22] MARLER R T, ARORA J S. Survey of multi-objective optimization methods for engineering[J]. Structural & Multidisciplinary Optimization, 2004, 26(6):369-395.
[23] 李志强, 蔺想红. 多目标优化非支配集构造方法的研究进展[J]. 计算机工程与应用, 2013, 49(19):31-35. LI Z Q, LIN X H. Research advance of multi-objective optimization non-dominated set construction methods[J]. Computer Engineering & Applications, 2013, 49(19):31-35(in Chinese).
[24] HO Y C, ZHAO Q C, JIA Q S. Ordinal optimization:Soft optimization for hard problems[M]. Berlin:Springer, 2007:9-13.
/
| 〈 |
|
〉 |
CJA