计算机与现代化 ›› 2009, Vol. 1 ›› Issue (7): 159-162.doi: 10.3969/j.issn.1006-2475.2009.07.046

• 应用与开发 • 上一篇    下一篇

考虑非线性项的卫星编队保持

王纪兵,吴炜华   

  1. 中国空空导弹研究院,河南 洛阳 471009
  • 收稿日期:2009-03-04 修回日期:1900-01-01 出版日期:2009-07-10 发布日期:2009-07-10

Satellite Formation Keeping in Considering Nonlinearity

WANG Ji-bing, WU Wei-hua   

  1. China Airborne Missile Academy, Luoyang 471009, China
  • Received:2009-03-04 Revised:1900-01-01 Online:2009-07-10 Published:2009-07-10

摘要: 针对低轨道运行的编队卫星在非线性项作用下,伴随卫星运行的相对运动轨道发生偏移的情况,传统的李亚普诺夫方法能较好地控制轨道的初始偏移,使系统达到李亚普诺夫大范围一致稳定,但长期项误差震荡较大。本文提出了一种多回路结构的卫星轨道保持的控制方法,内回路选取使系统满足李亚普诺夫大范围一致稳定的控制律,外回路选取LQR线性状态调节器。此内外回路调节器能更好地抑制环绕卫星相对于基准轨道的误差漂移,更好地稳定编队队形。最后,数值仿真结果验证了此方法比传统的李亚普诺夫方法具有使编队更稳定的效果。

关键词: 卫星编队, 非线性项, 李亚普诺夫稳定, 误差状态调节器

Abstract: As to satellite formation keeping moving on low orbit in the influence of nonlinearity, subordinative satellite orbit may drift related to reference orbit, initial error of orbit drift can be restrained by traditional Lyapunov controller, which makes the system stable, but the large shock error can’t be removed. This thesis introduces a multilooped structure for satellite formation keeping, the ruler which can satisfy Lyapunov stability is set in inner loop, an outer LQR state adjuster added on Lyapunov controller is introduced, this inner and outer loop controller can restrain subordinative satellite drift of orbit related to reference orbit, which can keep satellite formation stable. Finally, numerical results show that the two inner and outer loop controller can satisfy the actual require.

Key words: satellite formation, nonlinearity, Lyapunov stability, error state adjuster

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