Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (12): 2535-2540.doi: 10.3969/j.issn.1001-506X.2012.12.23

• 制导、导航与控制 • 上一篇    下一篇

多运动体航天器旋量理论动力学建模与滑模控制

许晨1,陆宇平1,刘燕斌1, 徐志晖2   

  1. 1. 南京航空航天大学航天学院, 江苏 南京 210016; 
    2. 中国人民解放军95168部队, 广东 广州 510620
  • 出版日期:2012-12-25 发布日期:2010-01-03

Dynamic modeling and sliding mode control of multi-moving-body spacecraft using screw theory

XU Chen1, LU Yu-ping1, LIU Yan-bin1,XU Zhi-hui2   

  1. 1.College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
    2.Unit 95168 of the PLA, Guangzhou 510620, China
  • Online:2012-12-25 Published:2010-01-03

摘要:

多运动体航天器系统各部分运动存在强烈耦合,这增加了动力学建模与控制难度。应用旋量理论与凯恩方程建立开环树状拓扑构型多运动体航天器通用的姿态动力学模型,有效简化系统运动学分析,计算量小,步骤清晰。针对系统强耦合,高度非线性的特点,设计基于逆系统的非奇异最终滑模控制器,完成系统各运动体姿态机动控制。首先,针对动力学方程设计α阶逆系统与原系统组成伪线性系统,完成精确反馈线性化的过程。然后,应用非奇异最终滑模控制器实现系统姿态机动控制,保证系统状态误差在有限时间内收敛到零。算例仿真结果验证了方法的有效性。

Abstract:

There exists intense coupling in the movement of all parts of multi-moving-body spacecraft, which increases the difficulty of dynamic modeling and control. The versatile attitude dynamic model of multi-moving-body spacecraft for any tree structure of open-loop is constructed by using both screw theory and Kane method, which simplifies the analysis of system kinematics, reduces the workload of calculation and makes the process clearer. Aiming at the features of the system that is strong coupled and high nonlinearity, a non-singular terminal sliding mode controller based on inverse system way is designed for all parts of system attitude maneuvering together. Firstly, an α order inverse system is designed and is integrated with the original system to constitute the pseudo linear system to finish the process of accurate feedback linearization. Secondly, a non-singular terminal sliding mode controller is designed for attitude maneuver, so as to guarantee the state error of the system to converge to zero in limited time. Simulation results show the effectiveness of the proposed method.

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