QUANTITATIVE MEASURES OF MODAL CONTROLLABILITY AND OBSERVABILITY IN VIBRATION CONTROL OF DEFECTIVE AND NEAR-DEFECTIVE SYSTEMS
QUANTITATIVE MEASURES OF MODAL CONTROLLABILITY AND OBSERVABILITY IN VIBRATION CONTROL OF DEFECTIVE AND NEAR-DEFECTIVE SYSTEMS
复制标题
缺陷和近缺陷系统振动控制中模态可控性和可观测性的定量测量
DOI：
10.1006/jsvi.2000.3826
复制
发表时间：
2001
影响因子：
4.7
通讯作者：
Z. S. Liu
中科院分区：
文献类型：
--
作者：
Yan Chen;Su;Z. S. Liu
本文主要研究具有重特征值的亏损系统的控制问题。利用输入矩阵B和输出矩阵C在模态子空间中的奇异值分解，讨论了亏损系统模态能控性和能观性的定量度量。对于特征值相近的拟亏损系统，我们先将其转化为亏损系统，然后再用同样的方法处理拟亏损系统。最后给出了一般阻尼系统和翼型的数值算例，以说明本文方法的应用。
In this paper, we focus on the control problem of defective systems with repeated eigenvalues. Using the singular-value decomposition of input matrix B and output matrix C in the modal subspace, the quantitative measures of modal controllability and observability of defective systems are discussed. For a near-defective system with close eigenvalues, we first transform it into a defective one, and then apply the same method to deal with near-defective systems. Numerical examples for a general damping system and an airfoil are given to illustrate the applications of the present method.