二阶动力学系统输出反馈特征结构配置

考虑了二阶动力学系统的输出反馈特征结构配置设计问题。基于一类广义Sylvester方程的参数化解,给出了闭环系统的右、左特征向量矩阵及反馈增益矩阵的完全参数化表达式。该参数化方法为控制系统设计提供了全部自由度,其中包括待配置特征值和一组自由参量。该参数化方法直接基于二阶动力学系统的参数矩阵,故其计算简单、便于工程应用。数值例子表明二阶动力学系统输出反馈特征结构配置参数化方法简单而有效。

Eigenstructure assignment via output feedback in second-order dynamic systems

The design of eigenstructure assignment via output feedback in a class of second-order dynamic systems is investigated. Based on parametric solutions of generalized Sylvester equations, complete parametric expressions in (direct) closed forms for both the left and the right closed-loop eigenvector matrices and their corresponding feedback gains are established in terms of the closed-loop eigenvalues and a group of free parametric vectors. The parametric method utilizes directly the original system data, which makes calculation simple and easy to implement in applications. The illustrative example shows that the proposed method is simple and effective.