基于多目标蚁狮优化算法的月球InSAR卫星编队构型设计

doi:10.12305/j.issn.1001-506X.2024.09.25

系统工程与电子技术 ›› 2024, Vol. 46 ›› Issue (9): 3128-3138.doi: 10.12305/j.issn.1001-506X.2024.09.25

• 制导、导航与控制 • 上一篇

基于多目标蚁狮优化算法的月球InSAR卫星编队构型设计

舒睿¹, 贾庆贤¹^,*, 于丹¹, 杜耀珂²

1. 南京航空航天大学航天学院, 江苏南京 210016
2. 上海航天控制技术研究所, 上海 200233

收稿日期:2023-06-19 出版日期:2024-08-30 发布日期:2024-09-12
通讯作者: 贾庆贤
作者简介:舒睿 (1999—), 女, 硕士研究生, 主要研究方向为编队构型设计与容错控制
贾庆贤 (1986—), 男, 副研究员, 博士, 主要研究方向为航天器编队/集群构控制、航天器智能任务规划与协同调度、空间攻防与博弈对抗
于丹 (1988—), 女, 讲师, 博士, 主要研究方向为分布式航天器系统、机器人智能控制
杜耀珂 (1982—), 男, 研究员, 博士, 主要研究方向为InSAR卫星编队构型设计与控制
基金资助:
国家自然科学基金(61703276);江苏省双创博士计划(30574(2019));南京航空航天大学科研与实践创新计划(xcxjh20221501)

Lunar InSAR satellite formation configuration design based on multi-objective ant-lion optimization algorithm

Rui SHU¹, Qingxian JIA¹^,*, Dan YU¹, Yaoke DU²

1. College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2. Shanghai Institute of Spaceflight Control Technology, Shanghai 200233, China

Received:2023-06-19 Online:2024-08-30 Published:2024-09-12
Contact: Qingxian JIA

摘要/Abstract

摘要：

本文研究了月球干涉合成孔径雷达(interferometric synthetic aperture radar, InSAR) 卫星编队构型设计问题。首先, 建立了基于相对偏心率/相对倾角(eccentricity/inclination, E/I) 矢量的月球InSAR卫星相对动力学模型。然后, 研究了月球轨道摄动环境下的编队飞行长期稳定飞行条件。进一步, 以相对测高精度和模糊高度为优化指标, 同时考虑星间安全性, 给出了月球InSAR卫星编队构型优化的目标函数。针对现有的研究方法难以解决构型设计的多目标问题, 应用改进多目标蚁狮优化算法实现了月球InSAR卫星编队构型设计。仿真结果表明, 其在基线使用率方面更优, 从而验证了所提算法的适应性和有效性。

关键词: 月球InSAR卫星编队, 构型设计, 蚁狮优化算法

Abstract:

The problem of lunar interferometric synthetic aperture radar (InSAR) satellite formation configuration design is studied. Firstly, the relative dynamic model of lunar InSAR satellite based on relative eccentricity/inclination (E/I) vector is established. Then, the long-term stable flight conditions of formation flying under the perturbation environment of lunar orbit are studied. Taking the relative altimetry accuracy and fuzzy altitude as optimization indexes, and considering the inter-satellite safety, the objective function of formation configuration design is given. In response to the existing research methods are unable to solve the multi-objective problem of configuration design, an improved multi-objective ant-lion optimization algorithm is applied to achieve the configuration design of lunar InSAR satellite formations. Simulation results show that the proposed algorithm is better in baseline utilization rate, which verifies the adaptability and effectiveness of the proposed algorithm.

Key words: lunar interferometric synthetic aperture radar (InSAR) satellite formation, configuration design, ant-lion optimization algorithm

中图分类号:

V448.21

舒睿, 贾庆贤, 于丹, 杜耀珂. 基于多目标蚁狮优化算法的月球InSAR卫星编队构型设计[J]. 系统工程与电子技术, 2024, 46(9): 3128-3138.

Rui SHU, Qingxian JIA, Dan YU, Yaoke DU. Lunar InSAR satellite formation configuration design based on multi-objective ant-lion optimization algorithm[J]. Systems Engineering and Electronics, 2024, 46(9): 3128-3138.

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摄动	地球	月球
J₂	-10^-3	-2×10^-4
C₂₂	2×10^-6	2×10^-5

参数	取值	参数	取值
a/km	2 251.4	ω/(°)	90
e	0.1	Ω/(°)	0
i/(°)	48.09	M/(°)	0

参数	取值
光速c/(m/s)	3×10⁸
图像视数N_L	20
中心视角θ₀/(°)	45
模糊高度下界Δh_min/m	30
波长/m	0.031
坡度角$ \vartheta $/(°)	0
斜距R₀/km	1 024
χ₁/χ₂	0.4/1
模糊高度上界Δh>_max/m	80

轨道根数	从星1	从星2	从星3
a/km	2 251.4	2 251.4	2 251.4
e	0.1	0.099 8	0.100 2
i/(°)	48.07	48.07	48.07
ω/(°)	90	90	90
Ω/(°)	0.13	359.94	359.92
M/(°)	359.87	0.056	0.08

基线	改进ALO算法	标准ALO算法	NSGA-3	粒子群优化算法
B₁	82.22	82.22	84.44	81.67
B₂	82.22	82.22	84.44	81.67
B₃	82.22	82.22	84.44	81.67
B₁₂	90.9	90.9	91.11	89.44
B₁₃	90.9	90.9	91.11	89.44
B₂₃	90.9	90.9	91.11	89.44

基于多目标蚁狮优化算法的月球InSAR卫星编队构型设计

Lunar InSAR satellite formation configuration design based on multi-objective ant-lion optimization algorithm

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基线	改进ALO算法	标准ALO算法	NSGA-3	粒子群优化算法
从星1	75.56	55.67	48.89	73.89
从星2	75.56	55.67	48.89	73.89
从星3	75.56	55.67	48.89	73.89

基线	改进ALO算法	标准ALO算法	NSGA-3	粒子群优化算法
B₁	63.33	45.56	38.89	61.67
B₂	63.33	45.56	38.89	61.67
B₃	63.33	45.56	38.89	61.67

基线	改进ALO算法	标准ALO算法	NSGA-3	粒子群优化算法
B₁₂	47.78	42.78	48.89	39.44
B₁₃	47.78	42.78	48.89	39.44
B₂₃	47.78	42.78	48.89	39.44