In this paper, a single parameter Guardian Map-based simple adaptive guidance and control architecture for spacecraft formation flying is developed. When compared with traditional vehicles, the dynamics of spacecraft features larger non-linearities, tighter coupling and higher uncertainty as the eccentricity of an orbit increases. In addition, most formation flying applications involve following bounded relative trajectories that are only applicable to circular orbits and hence becomes an unnatural trajectory when used on eccentric orbits, resulting in unnecessary fuel consumption. Making use of a combination of nonlinear Simple Adaptive Control and Guardian Map theories, a novel autonomous adaptive guidance and control system is developed such that the desired closed-loop stability of the system and asymptotic convergence is guaranteed throughout the orbit while tracking fuel-efficient natural trajectories that are applicable to eccentric orbits. Simulation results show various new types and sizes of bounded natural relative orbits to illustrate the increased performance and robustness of the proposed adaptive controller compared to a conventional non-adaptive linear quadratic regulator found in literature.

本文提出了一种基于单值卫报地图的简单自适应制导控制系统，用于航天器编队飞行。与传统运载工具相比，随着轨道偏心率的增加，航天器的动力学特性具有更大的非线性，更紧密的耦合和更高的不确定性。此外，大多数编队飞行应用都涉及遵循有限的相对轨迹，这些轨迹仅适用于圆形轨道，因此在偏心轨道上使用时会变成不自然的轨迹，从而导致不必要的燃料消耗。结合非线性简单自适应控制和Guardian Map理论，开发了新颖的自主自适应制导和控制系统，从而在跟踪适用于偏心轨道的省油自然轨迹的同时，确保了整个轨道所需的系统闭环稳定性和渐近收敛性。仿真结果显示了各种新类型和大小的有界自然相对轨道，以说明与文献中常规的非自适应线性二次调节器相比，所提出的自适应控制器具有更高的性能和鲁棒性。