arXiv:2605.09125eess.SYcs.LG2026-05被引 1

用扩散模型+蒙特卡洛加速低推力轨道优化,提升效率与解质量。

Transfer Learning of Multiobjective Indirect Low-Thrust Trajectories Using Diffusion Models and Markov Chain Monte Carlo

论文配图:Transfer Learning of Multiobjective Indirect Low-Thrust Trajectories Using Diffusion Models and Markov Chain Monte Carlo
图 1 · 摘自论文原文
  • 结合参数同伦与马尔可夫链蒙特卡洛生成高质量训练数据
  • 相比现有方法多生成40%可行解,帕累托前沿更优
  • 适合需要快速迭代的航天任务初步设计人员

低推力航天器任务的初步设计是具有复杂解空间、多目标和大量局部极小值的全局搜索问题。在此阶段,任务参数尚未完全确定,需在不同参数下高频生成新解。结合间接最优控制方法,扩散模型可通过学习高质量初始协态分布来加速搜索。然而,生成训练数据成本仍高,存在更好利用历史数据的潜力。本文提出一种迁移学习框架,结合任务参数的同伦与马尔可夫链蒙特卡洛(MCMC)以更高效生成训练数据。该方法将多目标优化重构为在协态空间中对非归一化目标分布的采样问题。我们在圆形限制三体问题中的平面多圈转移场景下,对三种MCMC算法进行比较,采用系统质量参数作为同伦变量。结果表明,基于梯度的MCMC变体在样本质量和计算成本间取得最佳平衡。对于测试转移任务,所提框架生成的可行解比当前最先进的基于伴随控制变换与梯度优化的方法多40%,且获得更高品质的帕累托前沿。最后,利用MCMC生成的样本对条件于质量参数的扩散模型进行微调,使其能够学习全局解分布并高效生成新解。这些发现确立了该迁移学习框架在参数变化下的间接轨迹优化问题中的实用性。

原文摘要 · Abstract (English)

Preliminary low-thrust spacecraft mission design is a global search problem characterized by a complex solution landscape, multiple objectives, and numerous local minima. During this phase, mission parameters are often not yet fully defined, requiring new solutions to be generated at a high cadence across varying parameter values. When combined with the indirect approach to optimal control, diffusion models can accelerate this search by learning distributions that represent high-quality initial costates. However, generating training data remains expensive, and opportunities exist to better exploit past data. We propose a transfer-learning framework that combines homotopy in a mission parameter with Markov chain Monte Carlo (MCMC) to generate training data more efficiently. The approach reformulates a multiobjective optimization problem as sampling from an unnormalized target distribution in costate space. We compare three MCMC algorithms on a planar multi-revolution transfer in the circular restricted three-body problem, with homotopy in the system mass parameter. The results show that gradient-based MCMC variants achieve the best trade-off between sample quality and computational cost. For the test transfer, the proposed framework generates 40 % more feasible solutions and achieves a higher-quality Pareto front than a state-of-the-art indirect approach based on adjoint control transformations and gradient-based optimization. Finally, the MCMC-generated samples are used to fine-tune a diffusion model conditioned on the mass parameter, enabling it to learn a global representation of the underlying solution distribution and efficiently generate new solutions. These findings establish the transfer-learning framework as a practical method for efficiently solving indirect trajectory optimization problems with varying parameters.

轨迹优化扩散模型马尔可夫链航天任务

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。