模态价值分析在航天器模型降阶中的应用研究

Research on Model Reduction of Flexible Spacecraft Using Modal Cost

模态价值分析 (ModalCostAnalysis ,简称MCA)是一种重要的模型降阶方法 ,它不仅反映了系统本身的力学特性 ,而且综合考虑了系统的可观性和可控性。文章首先给出了MCA的一般理论形式 ;然后重点推导了MCA应用于中心刚体加柔性附件类航天器动力学模型降阶的工程应用模型 ;最后通过详尽的应用算例 ,说明MCA应用于柔性航天器模型降阶的有效性。

Modal Cost Analysis (MCA) is an important method of model reduction, which unifies the essential characters of the models and the requirements of control systems and the disturbances. The general formulation of MCA is presented . Then MCA is applied to the model reduction of flexible spacecrafts. Finally an numerical example is illustrated to indicate the efficiency of MCA.