二阶线性系统特征结构配置的完全参数代分法(英文)

Complete parametric approach for eigenstructure assignment in a class of second-order linear systems

考虑二阶线性系统 ｃｑ＝Ｂｕ在比例加微分反馈控制下的特征结构配置问题，在［Ａ Ｂ］能控的条件下，给出了闭环特征向量矩阵及反馈增益矩阵的一种非常简单的究全参数表达式．所提出的方法无须进行系统增方或变换，直接基于原系统的数据Ａ，Ｂ，Ｃ，固而主要涉及ｎ－维矩阵的运算，两个例子说明了有效性．

The author deals with eigenstructure assignment in the second--order linear system q- Aq - Cq = Bu using the proportional - plus - derivative feedback controller. Under the controllability condition of the matrix pair [A B], very simple, general, and complete parametric expressions in direct closed forms for both the closed--loop eigenvector matrix and the feedback gains are established. The approach utilises directly the original system data A, B and C, and involves manipulations on only n - dimensional matrices. Two examples illustrate the effect of the proposed approach.