基于二阶曲面的估计状态自适应滑模控制与扰动观测在航天器编队重构中的应用
Estimated-State Adaptive Sliding Mode Control and Disturbance Observation Using Second-Order Surfaces for Spacecraft Formation Reconfiguration
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中文总结 AI 辅助
本文提出结合解析能量最优转移与鲁棒自适应滑模跟踪的两阶段控制框架，采用ASMC与SMDO，实现航天器编队重构的精确跟踪、扰动抑制与阶段平滑过渡。
中文摘要 AI 辅助
本文提出了一种用于航天器编队飞行的两阶段相对轨道控制框架，该框架结合了解析能量最优转移与鲁棒自适应滑模跟踪。在第一阶段，追踪器在Clohessy-Wiltshire动力学下从任意初始相对状态转移至投影圆轨道（PCO）；与通过数值扫描选择PCO进入阶段不同，转移代价由相位角参数化，平稳性条件被简化为四次多项式，其实根可得到所有候选进入阶段。在第二阶段，追踪器在存在外部扰动的情况下维持PCO，两阶段均采用自适应滑模控制器（ASMC）与滑模扰动观测器（SMDO）以提供鲁棒跟踪与扰动补偿。观测器将集总扰动降至有界残差，控制器从估计状态的二阶滑模变量更新其自适应增益；二阶曲面收紧了最终跟踪误差界，且一种实用的导数估计方法复用了可用的参考速度与加速度信号，避免了有限差分噪声放大与额外微分器调谐。仿真结果表明，该框架实现了精确跟踪、有效扰动抑制及两阶段间的平滑过渡。
英文摘要
This paper presents a two-phase relative orbit control framework for spacecraft formation flying that combines analytic energy-optimal transfer with robust adaptive sliding mode tracking. In the first phase, a chaser is transferred from an arbitrary initial relative state to a projected circular orbit (PCO) under the Clohessy--Wiltshire dynamics. Rather than selecting the PCO entry phase by numerical sweeping, the transfer cost is parameterized by the phase angle, and the stationarity condition is reduced to a quartic polynomial whose real roots yield all candidate entry phases. In the second phase, the chaser maintains the PCO in the presence of external disturbances. An adaptive sliding mode controller (ASMC) and a sliding mode disturbance observer (SMDO) are employed in both phases to provide robust tracking and disturbance compensation. The observer reduces the lumped disturbance to a bounded residual, while the controller updates its adaptive gain from an estimated-state second-order sliding variable. The second-order surface tightens the ultimate tracking error bound, and a practical derivative estimation method reuses available reference velocity and acceleration signals, avoiding finite-difference noise amplification and additional differentiator tuning. Simulations demonstrate accurate tracking, effective disturbance rejection, and a smooth transition between the two phases.
