Dynamics and Control of Displaced Orbits for Solar Sail Spacecraft
-
摘要: 基于线性动力学模型和非线性动力学模型,研究了太阳帆航天器日心悬浮轨道保持与控制问题.首先,推导出了柱坐标形式的太阳帆动力学方程,并在参考悬浮轨道附近线性化以建立状态方程,然后对状态方程进行可控性分析.通过合理选择控制变量加权矩阵R,用线性二次型调节器(LQR)对线性模型进行控制.将得到的控制律代入非线性模型中进行验证,表明该控制律渐近稳定,并且具有良好的控制精度,可实现太阳帆悬浮轨道控制.Abstract: Based on the linear dynamics model and nonlinear dynamics model, the sun-centred displaced orbits keeping control problem is studied. Firstly, the solar sail dynamics model in cylindrical coordinate form is derived and orbit controllability of the state equation by linearizing the model along the nominal orbit is investigated. Then, by choosing the control weighted matrix R reasonably, a control law for the linear model is designed using the Linear-Quadratic Regulation (LQR) approach. The numerical simulations which are obtained by taking the control law into the nonlinear model indicate that the designed controller which has asymptotic stability and high control accuracy is capable.
-
Key words:
- Solar sail /
- Displaced orbit /
- Controllability /
- Linear-quadratic regulation
-
[1] Bookless J, McInnes C R. Dynamics and control of displaced periodic orbits using solar-sail propulsion[J]. J. Guid. Contr. Dyn., 2006, 29(3):527-537 [2] Heiligers J, McInnes C R, Biggs J D, et al. Displaced geostationary orbits using hybrid low-thrust propulsion[J]. Acta Astron., 2012, 71:51-67 [3] Wang Songxia, Xu Shijie, Chen Tong. Orbit dynamics analysis of solar spacecraft[J]. Chin. Space Sci. Technol., 2006 (2):30-37. In Chinese (王松霞, 徐世杰, 陈统. 太阳帆航天器轨道动力 学分析[J]. 中国空间科学技术, 2006 (2):30-37) [4] McInnes C R. Solar Sailing: Technology, Dynamics, and Mission Applications[M]. Springer Praxis, 1999 [5] Gong Shengping, Li Junfeng, Gao Yunfeng, Baoyin Hexi. Relative motion around displaced solar orbit[J]. Chin. J. Theoret. Appl. Mech., 2007, 39(4):522-527. In Chinese (龚胜平, 李俊峰, 高云峰, 宝音贺西. 太阳帆日心悬浮轨道附近 的相对运动[J]. 力学学报, 2007, 39(4):522-527) [6] Luo Chao, Zheng Jianhua, Gao Dong. Study on orbit dynamics and control of solar-sail spacecraft[J]. J. Astron., 2009, 30(6):2111-2117. In Chinese (罗超, 郑建华, 高东. 太阳帆航天器的轨道动力学和轨道控制研究[J]. 宇航学报, 2009, 30(6):2111-2117) [7] McInnes C R. Solar sail mission applications for non-Keplerian orbits[J]. Acta Astron., 1999, 45(4/5/6/7/8/9):567-575 [8] Hu Shousong. Theory of Autocontrol[M]. 5th ed. Beijing: Science Publishing Company, 2007. In Chinese (胡寿松. 自动控制原理[M]. 第5版. 北京: 科学出版社, 2007) -

计量
- 文章访问数: 2432
- HTML全文浏览量: 47
- PDF下载量: 1831
- 被引次数: 0