arXiv:2607.09736cs.ROcs.LG2026-07

针对可重复使用火箭高攻角机动,提出可感知执行器饱和的鲁棒轨迹优化方法。

Saturation-Aware Robust Trajectory Optimization for Reusable Launch Vehicles via Differentiable Physics

论文配图:Saturation-Aware Robust Trajectory Optimization for Reusable Launch Vehicles via Differentiable Physics
图 1 · 摘自论文原文
  • 用可微物理框架联合优化主轨迹与时变反馈策略。
  • 在蒙特卡洛仿真中显著提升控制鲁棒性,避免执行器饱和失效。
  • 适合需要高可靠性的航天飞行控制系统设计者。

可重复使用运载火箭在大迎角翻转机动中面临严峻挑战,源于高度非线性动力学、气动不确定性及执行器饱和的共同影响。本文提出一种可微物理框架,用于实现考虑执行器饱和的鲁棒轨迹优化。核心是设计了一种可微粒子管控制(DPTC)方案,通过基于集合的分布塑形策略优化不确定性演化。状态不确定性以拉格朗日粒子集合表示,硬性执行器投影算子直接嵌入计算图中,支持通过端到端反向传播联合优化基准前馈轨迹与时变反馈策略。与基于自动微分的连续凸化(AD-SCvx)基线方法对比,后者虽能获得燃油最优解,但在气动干扰下其无约束反馈策略易受执行器饱和影响,导致闭环鲁棒性下降。相比之下,所提DPTC框架主动进行约束感知的性能权衡,通过放宽空间跟踪以保留关键控制能力。六自由度蒙特卡洛仿真验证了该方法的有效性,证明将可微物理与集合优化结合,为高度受限的航空航天飞行系统提供了高效实用的鲁棒制导框架。

原文摘要 · Abstract (English)

The high-angle-of-attack flip maneuver of reusable launch vehicles presents significant challenges for robust trajectory optimization due to the combined effects of highly nonlinear dynamics, aerodynamic uncertainties, and actuator saturation. This paper presents a differentiable physics framework for saturation-aware robust trajectory optimization. At its core, a Differentiable Particle Tube Control (DPTC) scheme is developed to optimize uncertainty evolution through an ensemble-based distribution shaping strategy. State uncertainty is represented by a Lagrangian particle ensemble, while hard actuator projection operators are embedded directly into the computational graph, enabling the joint optimization of the nominal feedforward trajectory and a time-varying feedback policy via end-to-end backpropagation. The proposed framework is evaluated against an automatic differentiation-based Successive Convexification (AD-SCvx) baseline combined with a conventional covariance steering feedback strategy. Six-degree-of-freedom Monte Carlo simulations demonstrate that, although the baseline achieves nominal fuel-optimal solutions, its unconstrained feedback formulation becomes susceptible to actuator saturation under aerodynamic disturbances, leading to degraded closed-loop robustness. In contrast, the proposed DPTC framework proactively performs a constraint-aware performance trade-off by relaxing spatial tracking to preserve critical control authority. These results demonstrate that integrating differentiable physics with ensemble-based optimization provides an effective and practical framework for robust guidance in highly constrained aerospace flight systems.

轨迹优化可微物理航天控制

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