Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (9): 2676-2685.doi: 10.13229/j.cnki.jdxbgxb.20211295

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Distributed adaptive vibration suppression control method of large solar panels for satellites based on Lyapunov theory

Liu ZHANG(),Qing-ming ZENG,Huan-yu ZHAO(),Guo-wei FAN   

  1. College of Instrumentation & Electrical Engineering，Jilin University，Changchun 130012，China
  • Received:2021-11-29 Online:2023-09-01 Published:2023-10-09
  • Contact: Huan-yu ZHAO E-mail:zhangliu@jlu.edu.cn;zhaohyjlu@jlu.edu.cn

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Abstract:

A distributed adaptive vibration suppression control method was investigated to effectively suppress the on-orbit vibration of large flexible satellite panels. Considering the influence of actuator and sensor installation position on the control effect， a complete distributed adaptive controller was designed based on Lyapunov theory by analyzing the coupling effect of vibration and output force between adjacent sub-modules. The simulation results show that the vibration suppression time of the proposed distributed control method is reduced by 40% compared with the distributed control method based on LQR control method and 50% compared with the centralized control method under the condition of continuous external interference. Furthermore， the proposed control method has an improved on-orbit vibration suppression effect and is of great significance for the stable operation of the satellite.

Key words: distributed control, adaptive control, large flexible spacecraft, Lyapunov theory, vibration suppression

CLC Number: 

  • V448.22

Fig.1

Diagram of a satellite's one-sided solar panel"

Fig.2

Schematic diagram of satellite solar panel vibration"

Fig.3

Coupling effects between submodules"

Fig.4

Control scheme diagram"

Table 1

Type of references"

参数数值参数数值
帆板长/m10弹性模量/GPa70.3
帆板宽/m3泊松比0.3
帆板厚/m0.05密度/（kg·m-3）2700

Table 2

Actuator sensor installation position coordinates"

序号横坐标纵坐标
16.00-0.41
29.020.90
34.31-0.35
40.161.06
56.000.41
69.02-0.90
74.310.35
80.16-1.06

Fig.5

Schematic of actuator sensor optimized position"

Fig.6

Schematic of distributed control"

Fig.7

First three-order mode shapes of the solar panel"

Fig.8

Modal coordinates of distributed controlled submodule 1 and 5"

Fig.9

Control force of distributed controlled submodule 1 and 5"

Fig.10

Comparison of the two control methods under continuous external interference"

Table 3

Vibration suppression time of solar panel"

控制方法振幅抑制达97%的时间/s
子模块 1子模块5平均时间
分布式控制0.89280.80600.7812
基于LQR分布式控制2.24121.34621.3461
集中式控制2.65321.83351.8334

Fig.11

Modal coordinates of distributed controlled submodule 1 and 5"

Fig.12

Control force of distributed controlled submodule 1 and 5"

Fig.13

Comparison of the two control methods with single pulsed interference"

Table 4

Vibration suppression time of solar panel"

控制方法振幅抑制达97%的时间/s
子模块 1子模块5
分布式控制5.61245.2276
基于LQR分布式控制5.84485.8532
集中式控制5.98765.9840
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