| 带极点配置的LQR算法在空间站力矩平衡姿态控制中的应用 |
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| 引用本文： | 李新峰,张涛.带极点配置的LQR算法在空间站力矩平衡姿态控制中的应用[J].空间科学学报,2017,37(3):332-337. |
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| 作者姓名： | 李新峰 张涛 |
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| 作者单位： | 中国科学院空间应用工程与技术中心 北京 100094 |
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| 基金项目： | 重大任务专项“空间站应用总体设计”项目资助（Y3140611PN） |
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| 摘 要： | 在进行空间站力矩平衡姿态（TEA）控制设计时，需要将姿态动力学、动量管理与干扰抑制滤波器相结合形成系统模型，以抑制外部干扰对姿态的影响.带有区域配置的改进LQR算法用于线性化的系统模型，能够使得系统闭环极点落入期望的扇形区域，区域分别由给定整数定义张角、正数定义稳定阈，建立的代数Riccati方程组可采用两步法进行迭代求解，自动生成所需要的状态权矩阵，并得到系统的反馈增益，完成闭环极点的区域配置.该算法用于对空间站姿态控制及动量管理的控制系统，结果表明系统稳态及动态特性能够达到预期目标.
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| 关 键 词： | 力矩平衡姿态（TEA） 动量管理 LQR算法 代数Riccati方程 |
| 收稿时间： | 2016-04-01 |
Application of LQR Algorithm with Pole Placement in TEA Control for Space Station |
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| Affiliation: | Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences, Beijing 100094 |
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| Abstract: | While designing the Torque Equilibrium Attitude (TEA) controller, a plant model for space station control, including attitude dynamics and momentum management, is concatenated with rejection filters to counteract the attitude undulation due to specified frequency disturbances. A modified Least Quadratic Regulator (LQR) algorithm with pole placement is adopted for the linearized motion model. This approach places close-looped poles in a margined fan-like region with its span angle defined by a specified integer and margin distance to the imaginary axis by a positive scalar. One pair of algebra Riccati equations can be solved with two-stage iterations, and the state weight matrix as well as the feedback gain matrix is calculated during the procedure. Desirable dynamic and stable performance can be obtained when this approach is tried upon this coupled model. |
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