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Linear quadratic differential game approach for attitude takeover control of failed spacecraft

机译：用于态度的线性二次差动游戏方法失败的航天器的控制

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摘要

Spacecraft is mostly abandoned after its fuel exhausts or actuator fails. Using microsatellites to implement attitude takeover control for failed spacecraft is a cost efficient way to recycle on-board valuable payloads at a low cost. In order to achieve collaboration between independent microsatellites, a differential game based method is proposed to stabilize the combined spacecraft composed of multiple microsatellites and the failed spacecraft, in which each microsatellite can independently calculate its own control strategy. Firstly, based on the attitude model of combined spacecraft and the performance index function of each microsatellite, the linear quadratic differential game model is formulated. By optimizing individual performance index functions, the control strategies of multiple microsatellites can be obtained. Secondly, in order to find the Nash equilibrium strategies of microsatellites, the coupled Hamilton-Jacobi(HJ) equations are transferred to a set of coupled Riccati differential equations over finite time horizon. In order to avoid computational overhead, a set of coupled algebraic Riccati equations over infinite horizon is also derived, which can be solved easily with high precision by the Lyapunov iterations method. Finally, numerical simulations verify the effectiveness of the differential game method for the attitude takeover control of failed spacecraft.
机译：在其燃料排气或执行器失败后，航天器大多被遗弃。利用微卫星实施态度的态度收购对失败的航天器的控制是一种成本有效的方式，以低成本回收板载有价值的有效载荷。为了在独立微卫星之间实现协作，提出了一种基于微分的游戏的方法来稳定由多个微卫星和失败的航天器组成的组合航天器，其中每个微卫星可以独立地计算其自身的控制策略。首先，基于组合航天器的姿态模型和每个微卫星的性能指标功能，配制了线性二次差分游戏模型。通过优化单独性能索引功能，可以获得多个微卫星的控制策略。其次，为了找到微卫星的纳什均衡策略，耦合的Hamilton-jacobi（HJ）方程被传送到有限时间范围内的一组耦合的Riccati微分方程。为了避免计算开销，还导出了一组耦合的代数Riccati方程，其也可以通过Lyapunov迭代方法容易地以高精度求解。最后，数值模拟验证了对失败的航天器的态度收购控制的差分游戏方法的有效性。

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  • 来源
    《Acta astronautica》 |2020年第10期|142-154|共13页
  • 作者

    Chai Yuan; Luo Jianjun; Han Nan; Xie Jianfeng;

  • 作者单位

    Northwestern Polytech Univ Shenzhen Res & Dev Inst Shenzhen 518057 Peoples R China|Northwestern Polytech Univ Sci & Technol Aerosp Flight Dynam Lab Xian 710072 Peoples R China;

    Northwestern Polytech Univ Shenzhen Res & Dev Inst Shenzhen 518057 Peoples R China|Northwestern Polytech Univ Sci & Technol Aerosp Flight Dynam Lab Xian 710072 Peoples R China;

    Northwestern Polytech Univ Shenzhen Res & Dev Inst Shenzhen 518057 Peoples R China|Northwestern Polytech Univ Sci & Technol Aerosp Flight Dynam Lab Xian 710072 Peoples R China;

    Northwestern Polytech Univ Sci & Technol Aerosp Flight Dynam Lab Xian 710072 Peoples R China|Beijing Aerosp Control Ctr Beijing 100094 Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Differential game; Attitude takeover control; Microsatellites; Coupled algebraic Riccati equations;

    机译：差异游戏;态度收购控制;微卫星;耦合代数Riccati方程;

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