基于Lyapunov理论的卫星大挠性太阳能帆板分布式自适应振动抑制控制方法

doi:10.13229/j.cnki.jdxbgxb.20211295

摘要/Abstract

摘要：

提出了一种分布式自适应振动抑制控制方法，有效抑制了卫星大挠性帆板在轨振动问题。考虑作动器和传感器的安装位置对控制效果的影响，通过分析邻接子模块之间振动和输出力的耦合影响，基于Lyapunov理论设计了完整的分布式自适应控制器。仿真结果表明，在外界持续干扰等情况下，本文设计的分布式控制系统与基于线性二次型调节器（LQR）的分布式控制方法相比抑振时间缩短了40%，与集中式控制方法相比抑振时间缩短了50%，得到了更良好的在轨抑振效果，对于卫星的稳定运行具有重要意义。

关键词: 分布式控制, 自适应控制, 大挠性航天器, 李雅普诺夫理论, 振动抑制

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

中图分类号:

V448.22

张刘,曾庆铭,赵寰宇,范国伟. 基于Lyapunov理论的卫星大挠性太阳能帆板分布式自适应振动抑制控制方法[J]. 吉林大学学报(工学版), 2023, 53(9): 2676-2685.

Liu ZHANG,Qing-ming ZENG,Huan-yu ZHAO,Guo-wei FAN. Distributed adaptive vibration suppression control method of large solar panels for satellites based on Lyapunov theory[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(9): 2676-2685.

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参考文献 20

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参数	数值	参数	数值
帆板长/m	10	弹性模量/GPa	70.3
帆板宽/m	3	泊松比	0.3
帆板厚/m	0.05	密度/（kg·m^-3）	2700

序号	横坐标	纵坐标
1	6.00	-0.41
2	9.02	0.90
3	4.31	-0.35
4	0.16	1.06
5	6.00	0.41
6	9.02	-0.90
7	4.31	0.35
8	0.16	-1.06

控制方法	振幅抑制达97%的时间/s
控制方法	子模块 1	子模块5	平均时间
分布式控制	0.8928	0.8060	0.7812
基于LQR分布式控制	2.2412	1.3462	1.3461
集中式控制	2.6532	1.8335	1.8334

控制方法	振幅抑制达97%的时间/s
控制方法	子模块 1	子模块5
分布式控制	5.6124	5.2276
基于LQR分布式控制	5.8448	5.8532
集中式控制	5.9876	5.9840