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面向空间干涉测量任务的自适应滑模编队控制

Adaptive sliding mode formation control for space interferometer missions

Mauro Mancini, Giulia Alessandra Tataru, Satoshi Satoh, Elisa Capello

arXiv 2609.24693首次发表:更新:

发表机构

Politecnico di Torino; The University of Osaka(都灵理工大学; 大阪大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文针对低轨航天器高精度编队控制,提出端口-哈密顿框架下的自适应边界层滑模控制(AB-SMC),通过动态调整滑模面提升瞬态性能,实现亚毫米级跟踪精度并保证闭环稳定性。

AI 中文摘要

本文针对低地球轨道航天器的高精度编队控制问题展开研究,其动机源于未来空间干涉测量任务(如SILVIA)的需求。所提方法在端口-哈密顿框架内构建相对动力学模型,并引入一种自适应边界层滑模控制(AB-SMC)律,以克服传统常增益滑模控制(SMC)的局限性。其关键创新在于对滑模面进行动态的、依赖于误差的调整,从而在保证高精度轨迹跟踪的同时提升瞬态性能。基于李雅普诺夫的严谨分析确立了跟踪误差的显式最终界,并确保了闭环稳定性;此外,广泛的蒙特卡洛仿真进一步验证了所提AB-SMC相较于标准控制方法的优越性。结果表明,AB-SMC实现了更快的收敛速度、更低的控制能耗以及亚毫米级的跟踪精度,展示了其在真实、不确定的轨道环境中,在满足低推力约束条件下的实际鲁棒性和工程可行性。

英文摘要

This paper addresses high-precision formation control for spacecraft operating in low Earth orbit, motivated by the requirements of future space interferometry missions such as SILVIA. The proposed approach formulates the relative dynamics within a port-Hamiltonian framework and introduces an Adaptive Boundary-layer Sliding Mode Control (AB-SMC) law to overcome the limitations of conventional SMC with constant gains. The key innovation lies in a dynamic, error-dependent adjustment of the sliding manifold, enhancing transient performance while guaranteeing high-precision trajectory tracking. Rigorous Lyapunov-based analysis establishes explicit ultimate bounds on the tracking error and ensures closed-loop stability, while extensive Monte Carlo simulations further validate the proposed AB-SMC compared to standard control approaches. Results show that AB-SMC achieves faster convergence, lower control effort, and sub-millimeter tracking accuracy, demonstrating its practical robustness and implementation feasibility in realistic, uncertain orbital environments while respecting low-thrust constraints.

Journal refControl Engineering Practice, Volume 174, 2026, 107025, ISSN 0967-0661,

DOI:10.1016/j.conengprac.2026.107025

论文原文

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