密频子空间的可控度与可观度

The Degree of Controllability and Observability of Closed Frequency Subspace

首先提出了频率组的分散度和密集度的概念 ,从而可以在整体上把握一个频率组的接近程度。然后对于二阶的弹性结构系统 ,分别在可控性和可观性的意义下 ,引入了两个同维数的一阶系统 ,分别以该一维系统为基础 ,利用小参数方法 ,以频率组的分散度为参数 ,分析了密集频率子空间的可控度和可观度 。

By defining the concepts of frequency scatter and close degree, the close degree of a frequency group is conveniently grasped in whole. Two first order systems , which are equivalent to the second order flexible structural system at the me aning of controllability and observability respectively, are introduced. Based on these two first order systems, the degree of controllability and observabili ty of closed frequency subspace are discussed by small parameter method. So tha t, the first order aproximate analytical solutions of the degree of controllabi lity and observability are derived by using the frequency scatter degree as the small parameter.