超大型航天结构动力学与控制的保辛方法

超大型航天器是空间资源探索和利用的重要空间基础设施，也是实现航天强国目标的重大战略性航天装备。由于这类结构的质量和尺寸巨大，将带来在轨运行中的姿-轨-结构耦合和在轨姿态控制问题。同时，结构的超大尺度、构型变化与空间环境相互作用将产生极复杂的结构振动和大型结构特有的波动现象。这些为其动力学建模与数值求解、在轨精确姿态控制、低频结构振动抑制和振动波动耦合的特性调控等提出了新的挑战。本文介绍了本团队近十年基于保辛方法针对上述问题取得的研究进展，包括超大型航天结构在轨耦合动力学与姿态控制、超大型航天结构波动力学行为与控制、可展开结构设计以及变刚度主动控制方法等。

Reviews on symplectic method for dynamics and control of ultra-large space structures

A ultra-large spacecraft is a significant space infrastructure for the exploration and utilization of space resources, and also an important aerospace equipment to achieve the goal of becoming a powerful space nation.With its ultra-large size, ultra-flexible structure, and ultra-low fundamental frequency, ultra-large spacecrafts present new challenges in terms of dynamic modeling, numerical analysis, precise attitude control, low-frequency vibration suppression, and wave characteristics adjustment.This paper introduces our research progress for the above problems based on symplectic methods, including on-orbit coupling dynamics and attitude control, wave analysis and control, design of deployable space structures, and variable-stiffness active control methods.