中国物理B ›› 2018, Vol. 27 ›› Issue (9): 90501-090501.doi: 10.1088/1674-1056/27/9/090501

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Nonlinear suboptimal tracking control of spacecraft approaching a tumbling target

Zhan-Peng Xu(许展鹏), Xiao-Qian Chen(陈小前), Yi-Yong Huang(黄奕勇), Yu-Zhu Bai(白玉铸), Wen Yao(姚雯)   

  1. 1 College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
    2 National Innovation Institute of Defense Technology, Chinese Academy of Military Science, Beijing 100091, China
  • 收稿日期:2018-03-15 修回日期:2018-06-13 出版日期:2018-09-05 发布日期:2018-09-05
  • 通讯作者: Xiao-Qian Chen E-mail:chenxiaoqian@nudt.edu.cn
  • 基金资助:

    Project supported by the Major Program of the National Natural Science Foundation of China (Grant Nos. 61690210 and 61690213).

Nonlinear suboptimal tracking control of spacecraft approaching a tumbling target

Zhan-Peng Xu(许展鹏)1, Xiao-Qian Chen(陈小前)1, Yi-Yong Huang(黄奕勇)1, Yu-Zhu Bai(白玉铸)1, Wen Yao(姚雯)2   

  1. 1 College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
    2 National Innovation Institute of Defense Technology, Chinese Academy of Military Science, Beijing 100091, China
  • Received:2018-03-15 Revised:2018-06-13 Online:2018-09-05 Published:2018-09-05
  • Contact: Xiao-Qian Chen E-mail:chenxiaoqian@nudt.edu.cn
  • Supported by:

    Project supported by the Major Program of the National Natural Science Foundation of China (Grant Nos. 61690210 and 61690213).

摘要:

We investigate the close-range relative motion and control of a spacecraft approaching a tumbling target. Unlike the traditional rigid-body dynamics with translation and rotation about the center of mass (CM), the kinematic coupling between translation and rotation is taken into consideration to directly describe the motion of the spacecraft's sensors or devices which are not coincident with the CM. Thus, a kinematically coupled 6 degrees-of-freedom (DOF) relative motion model for the instrument (feature point) is set up. To make the chaser spacecraft's feature point track the target's, an optimal tracking problem is defined and a control law with a feedback-feedforward structure is designed. With quasi-linearization of the nonlinear dynamical system, the feedforward term is computed from a specified constraint about the dynamical system and the reference model, and the feedback action is derived starting from the state-dependent Ricca equation (SDRE). The proposed controller is compared with an existing suboptimal tracking controller, and numerical simulations are presented to illustrate the effectiveness and superiority of the proposed method.

关键词: tumbling target, 6 degrees-of-freedom (DOF) relative motion, suboptimal tracking control, state-dependent Ricca equation (SDRE) method

Abstract:

We investigate the close-range relative motion and control of a spacecraft approaching a tumbling target. Unlike the traditional rigid-body dynamics with translation and rotation about the center of mass (CM), the kinematic coupling between translation and rotation is taken into consideration to directly describe the motion of the spacecraft's sensors or devices which are not coincident with the CM. Thus, a kinematically coupled 6 degrees-of-freedom (DOF) relative motion model for the instrument (feature point) is set up. To make the chaser spacecraft's feature point track the target's, an optimal tracking problem is defined and a control law with a feedback-feedforward structure is designed. With quasi-linearization of the nonlinear dynamical system, the feedforward term is computed from a specified constraint about the dynamical system and the reference model, and the feedback action is derived starting from the state-dependent Ricca equation (SDRE). The proposed controller is compared with an existing suboptimal tracking controller, and numerical simulations are presented to illustrate the effectiveness and superiority of the proposed method.

Key words: tumbling target, 6 degrees-of-freedom (DOF) relative motion, suboptimal tracking control, state-dependent Ricca equation (SDRE) method

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
07.05.Dz (Control systems) 91.10.Sp (Satellite orbits)