谱分解理论及在时滞反馈控制中应用

PDF(697 KB)

振动与冲击 ›› 2013, Vol. 32 ›› Issue (9) : 141-145.

论文

谱分解理论及在时滞反馈控制中应用

毛晓彬

作者信息 +

Spectral decomposition theory and its application in delayed feedback control

MAO Xiao-bin

Author information +

文章历史 +

摘要

运用矩阵多项式的GLR理论系统地给出阻尼陀螺系统、粘性阻尼系统及无阻尼陀螺系统的谱分解定理。以粘性阻尼系统为例，应用谱分解定理的正交性结果求解时滞状态反馈下部分极点配置问题，构造性出多输入情况下解的参数表示。

Abstract

Spectral decomposition problem is referred to as that the system matrices are constructed so that the vibrating system has the prescribed spectrum. According to the GLR theory, the spectral decomposition theories for various vibration systems are given, including damped gyroscopic system, viscous damped system and undamped gyroscopic system. Moreover, the orthogonality relations for the eigenvectors of the associating vibration systems are established, which are applied to solve the partial pole assignment problem with delayed state feedback. Taking viscous damped system for example, a constructive method is provided for the parametric solution of the multi-input case.

导出引用

毛晓彬. 谱分解理论及在时滞反馈控制中应用[J]. 振动与冲击, 2013, 32(9): 141-145

MAO Xiao-bin. Spectral decomposition theory and its application in delayed feedback control[J]. Journal of Vibration and Shock, 2013, 32(9): 141-145