基于等价输入扰动(EID)的方法, 通过对抑制外界未知扰动(匹配的或者非匹配的), 实现了对空间桁架的振动控制. 首先利用有限元分析(FEA), 计算空间桁架的质量矩阵, 阻尼矩阵, 刚度矩阵及输入矩阵, 进而建立空间桁架的模型. 为了便于分析和设计, 利用模态降阶的方法对模型进行降阶处理. 在降阶的模型的基础上, 设计等价输入扰动观测器观测外部未知扰动. 基于观测的结果, 进一步地设计了空间桁架的振动控制方法. 最后给出数值仿真, 以证实所提方法的有效性.

This paper focuses on the vibration control problem of the space truss by rejecting the external disturbance that not only matched but also unmatched based on the Equivalent-Input-Disturbance (EID) approach. The finite-element analysis (FEA) is utilized to calculate the mass matrix, damping matrix, stiffness matrix and input matrix to model the space truss. For convenient analysis and synthesis, the modal truncation is introduced to reduce the order of the model of the space truss, which is a high order system. Furthermore, a novel and effective EID observer is constructed to observe the external unknown disturbance, which is the main reason of the vibration of the space truss. Adaptations of these, a vibration control scheme that utilizes the observation results is proposed for the space truss. Finally, numerical examples, which show the method in this paper can reject external unknown disturbance, are provided to illustrate the effectiveness of the proposed methods.