基于ALPSO算法的低轨卫星小推力离轨最优控制方法

doi:10.3969/j.issn.1001-506X.2021.01.24

Abstract

Abstract:

The low earth orbit satellite needs to deorbit within a certain period of time after reaching their lifetime, while satellite with orbit height above 800 km is difficult to deorbit under natural conditions. In order to make the satellite deorbit within a specified time, an optimal control algorithm for low thrust deorbit of the low earth orbit satellite based on the augmented Lagrangian particle swarm optimization (ALPSO) algorithm is proposed. Firstly, the perturbation equation is listed according to the characteristics of low thrust, and the Hamilton equation is used to acquire the optimal control rate with co-state parameters. Then, the particle swarm algorithm and the augmented Lagrangian method are expounded respectively, and the algorithm flow is obtained accordingly. Finally, it is compared with the optimization results of the genetic algorithm. The results show that the ALPSO algorithm has fewer iterations and higher convergence accuracy. The first disposal orbit with reduced orbit altitude is suitable for satellite deorbit with an orbit altitude of 821 km, and the deorbit time is 857 days. The algorithm can be applied to solve the low thrust deorbit problem of the low earth orbit satellite.

Key words: low earth orbit satellite, low thrust deorbit, particle swarm optimal algorithm, optimal control

CLC Number:

V412.2

Jiuyang LI, Min HU, Xuyu WANG, Jiahui XU, Feifei LI. Optimal control method for low thrust deorbit of the low earth orbit satellite based on ALPSO algorithm[J]. Systems Engineering and Electronics, 2021, 43(1): 199-207.

Figures/Tables 13

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轨道根数	工作轨道	第一种处置轨道	第二种处置轨道
半长轴/km	7 200	6 528	7 200
偏心率	0.001	0.001	0.093
轨道倾角/(°)	98.500	98.500	98.500

参数	取值
种群个数N	500
最大迭代次数k_max	50
最大惯性权重ω_max	0.9
最小惯性权重ω_min	0.4
n_s阈值s	15
n_f阈值f	5
随机方向参数初值ρ₀	1
初始惩罚因子r₀	1 000
约束阈值ε_f	0.000 1

参数	λ_a	λ_e	λ_i	离轨时间/天	燃料消耗/kg
粒子群搜索范围(第一种)	[-10/a, 10/a]	[-10, 10]	[-10, 10]	—	—
粒子群搜索范围(第二种)	[-10/a, 10/a]	[-1×10⁶, 1×10⁶]	[-10, 10]	—	—
最优解(第一种处置轨道)	-1.389×10^-6	-4.074	6.563	857	2.00
最优解(第二种处置轨道)	-1.389×10^-7	-2 223.345	10	1 607	3.75

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Optimal control method for low thrust deorbit of the low earth orbit satellite based on ALPSO algorithm

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