结构模态能控性和能观测性的度量

利用现代控制理论研究了结构模态的能控性和能观测性问题，给出了模态坐标下结构的能控性和能观测性判据，证明了多输入－多输出（ＭＩＭＯ）试验模态分析技术用于存在重根模态结构的模态试验的必要性，并人出了对激振点和测量点数量的要求。利用奇异值分解技术给出了一种结构查态能控性和能观测性的度量方法，并讨论了其在模记试验激振点和测量点位置选择中的应用。

Measure of Controllability and Observability for Structural Modes

The controllability and observability for structural modes are investigated using modern control theory. The criterions of controllability and observability for structure under modal coordlinate are obtained. The investigation indicates that the multiple input and multiple output (MIMO) experimental modal analysis technique is necessary for modal test of the structure with repeated root modes, and gives quantity requriment of test excitation and measurement points. A measure method of the controllability and observability for structural modes is given by the Singu1ar Value Decomposition technique. This method used for selecting the placement of excitation and measurement points in modal test is introduced.