发表机构
University of Stuttgart（斯图加特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文以ADRIOS/ClearSpace-1任务为例，系统分析航天器交会操作中经济MPC相对标准跟踪MPC的优势，证明其可节省40-99%燃料，并梳理各操作所需终端成分与代价。
AI 中文摘要
交会与近距离操作（RPO）任务通常被设计为一系列不同的阶段，每个阶段由各自的采样时间、约束集和代价结构控制，从任务级需求到模型预测控制（MPC）设计参数的转换通常是临时进行的。本报告朝着系统化、可追溯的任务需求与MPC设计选择之间的映射迈出了第一步，以ADRIOS / ClearSpace-1主动碎片清除任务作为跨三个连续操作的案例研究。其核心假设是，经济模型预测控制（EMPC）——其中阶段代价直接反映推进剂消耗——在结构上比定点调节或参考跟踪更适合近距离操作，因为它可以利用Clohessy-Wiltshire-Hill（CWH）动力学所允许的自然、无燃料的相对轨道运动轨迹，而不是与之对抗。我们表明，对于这类问题，纯燃料阶段代价从根本上来说是退化的，因为闭环最优值相对于任何单一目标状态或轨道都不是严格耗散的，并逐操作分析了需要哪种终端成分（终端区域、终端代价、终端等式或阶段代价正则化）来修复这种退化，以及需要付出多少燃料和时间代价，在何种形式保证下。在所有三个操作中，经济控制器相对于标准二次跟踪MPC将燃料消耗减少了约40-99%，代价是更长的机动时间，我们将结果综合成一个跨场景的任务需求、MPC成分及其残余局限性表格。
英文摘要
Rendezvous and proximity operations (RPO) missions are commonly designed as a sequence of distinct phases each governed by its own sample time, constraint set, and cost structure, with the translation from mission-level requirements to model predictive control (MPC) design parameters typically performed ad hoc. This report takes a first step toward a systematic, traceable mapping between mission requirements and MPC design choices, using the ADRIOS / ClearSpace-1 active debris removal mission as a case study across three sequential operations. Its central hypothesis is that Economic MPC (EMPC), in which the stage cost reflects propellant consumption directly, is structurally better suited to proximity operations than fixed-point regulation or reference tracking, because it can exploit the natural, fuel-free relative-orbital-motion trajectories admitted by the Clohessy-Wiltshire-Hill (CWH) dynamics instead of fighting them. We show that a pure-fuel stage cost is fundamentally degenerate for this class of problem as the closed-loop optimum is not strictly dissipative with respect to any single target state or orbit, and analyse, operation by operation, which terminal ingredient (a terminal region, a terminal cost, a terminal equality, or a stage-cost regularisation) is required to repair this degeneracy, at what fuel and time cost, and under what formal guarantee. Across all three operations the economic controllers cut fuel consumption by roughly 40-99% relative to standard quadratic-tracking MPC, at the cost of longer manoeuvre times, and we synthesise the results into a cross-scenario table of mission requirements, MPC ingredients, and their residual limitations.
