arXiv:2605.04481cs.ROcs.SY2026-05

通过自适应同伦调节,让低推力逼近更抗干扰、更稳定。

Tightly-Coupled Estimation and Guidance for Robust Low-Thrust Rendezvous via Adaptive Homotopy

论文配图:Tightly-Coupled Estimation and Guidance for Robust Low-Thrust Rendezvous via Adaptive Homotopy
图 1 · 摘自论文原文
  • 导航置信度动态调整控制优化参数,实现估计与制导紧耦合。
  • 在严重测量退化下,终端误差从百米级降至亚米级。
  • 适合对鲁棒性要求高的非合作近距离航天器操作场景。

最小燃料低推力逼近生成的控制结构为尖峰型,对估计误差、传感器异常和求解器正则化高度敏感,导致闭环执行在非合作近距离操作中极易失效。本文提出一种紧耦合估计与制导架构,导航置信度直接调控滚动时域间接最优控制求解器的同伦参数。相对运动采用Clohessy-Wiltshire框架建模,状态估计基于线性卡尔曼滤波器,并引入多重调参因子(MTF)协方差膨胀机制以抑制可疑创新方向。由归一化创新与MTF活动度组成的综合评分在线映射至同伦参数,使控制器在置信度下降时自动切换至平滑保守模式,感知改善后恢复高燃油效率的尖峰控制。数值结果表明,在严重测量退化条件下,固定尖峰控制仍脆弱;普通卡尔曼滤波与MTF-卡尔曼滤波的固定ε控制器均产生较大终端偏差。而所提MTF自适应同伦控制器将终端偏差降低约两个数量级,从数百米降至亚米级,且控制代价仅适度增加,优于开环最优基准。对比显示,自适应同伦是主要鲁棒性机制,MTF带来额外精度与效率提升。滚动时域实现展现出一致快速可靠的求解时间,支持该方法的实际在线可行性。

原文摘要 · Abstract (English)

Minimum-fuel low-thrust rendezvous guidance yields bang-bang control structures highly sensitive to estimation errors, sensor anomalies, and solver regularization, making aggressive closed-loop execution brittle for uncooperative proximity operations. This paper proposes a tightly-coupled estimation and guidance architecture where navigation confidence directly modulates the homotopy parameter of a receding-horizon indirect optimal control solver. Relative motion is modeled in the Clohessy-Wiltshire frame. The translational state is estimated via a linear Kalman filter augmented by a Multiple Tuning Factors (MTF) covariance inflation mechanism that suppresses suspicious innovation directions. A composite score from the normalized innovation and MTF activity is mapped online to the homotopy parameter, allowing the controller to relax toward a smoother, conservative regime when confidence degrades, and recover fuel-efficient bang-bang control as sensing improves. Numerical results under severe measurement degradation show fixed bang-bang guidance remains brittle; both plain-KF and MTF-KF fixed-epsilon controllers yield large terminal miss distances. Conversely, the proposed MTF-adaptive homotopy controller reduces terminal miss by roughly two orders of magnitude, from hundreds of meters to sub-meter levels, requiring only a moderate increase in control effort versus the open-loop fuel-optimal benchmark. A comparison indicates adaptive homotopy is the dominant robustness mechanism, while MTF provides additional accuracy and efficiency improvements. The receding-horizon implementation exhibits consistently fast and reliable solution times, supporting the practical online viability of the proposed method.

航天控制最优控制鲁棒性同伦方法

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