空间太阳能电站是解决未来能源、环境和空间安全问题的重要途径，其千米量级尺寸的“超大”和“高柔性”特征给在轨动力学和控制带来了新问题、新特性和新挑战。本项目以此为背景开展超大柔性空间结构在轨动力学建模、计算、响应特性分析和振动控制研究。首先充分考虑重力梯度、太阳光压和热辐射等环境干扰、轨道偏心率和结构大变形的影响，基于Lagrange变分原理分层次地建立起体现力学结构基本特征的“柱、梁、板、壳”等超大柔性空间结构的在轨动力学模型；然后基于变分积分法构造高精度保辛数值算法，研究超大柔性空间结构在轨动力学响应新特性以及结构振动、姿态运动和轨道运动的耦合机理；最后根据响应特性和结构特点发展时变参数的在线估计方法，设计超大柔性空间结构振动的自适应鲁棒H∞控制系统。本项目的实施将为超大柔性空间结构在轨动力学和控制建立新模型、发展新方法、揭示新特性，为我国空间太阳能电站技术提供必要的技术储备和支撑。

The idea of solar power satellite (SPS) is considered to be a potential grand opportunity to address not only energy security, but environmental and space security as well. The size of kilometer level makes the SPS have characteristics of very large and high flexible, which have brought new problems, new features and new challenges for its on-orbit dynamics and control. Hence the on-orbit dynamics modeling, computation, analysis and vibration control of the very large flexible space structures(VLFSS) are studied. Firstly the on-orbit dynamics models of the basic mechanical structures of VLFSS such as column, beam, plate and shell are established based on the Lagrangian variational principle, fully considering the influence of the gravity gradient torques, solar radiation pressure, heat radiation, orbital eccentricity, and large deformation of structures. Secondly, the symplectic algorithms with high accuracy are constructed based on the variational integrators, which are used to study the new features of on-orbit dynamics and the coupling mechanism among structure vibration, attitude motion and orbit motion of VLFSS. Finally, the vibration control of VLFSS is studied and the adaptive robust H∞ control system is designed, by improving the on-line estimation method for time-varying parameters based on the dynamical features of VLFSS. The implementation of this project will present the new models, propose new methods and discover new features for on-orbit dynamics and control of VLFSS, which will provide the technology pull/push necessary to make SPS systems more technically and economically feasible.