时滞振动控制系统部分极点配置问题的多步法

徐佳佳, 刘皞

振动与冲击 ›› 2018, Vol. 37 ›› Issue (7) : 38-42.

PDF(568 KB)
PDF(568 KB)
振动与冲击 ›› 2018, Vol. 37 ›› Issue (7) : 38-42.
论文

时滞振动控制系统部分极点配置问题的多步法

  • 徐佳佳, 刘皞
作者信息 +

A multi-step method for part of pole points allocation of a vibration control system with time-delay

  • XU Jiajia, LIU Hao
Author information +
文章历史 +

摘要

对时滞单输入振动控制系统的部分极点配置问题作了分析和探讨,提出了求解时滞多输入振动控制系统部分极点配置问题的多步法,将不“想要”的特征值配置到给定特征值,其余特征对保持不变,这种方法很容易编程实现而且不需要利用动柔度矩阵或求解Sylvester方程。最后,数值实验的结果表明多步法是有效的。

Abstract

Part of pole points allocation problem of a single-input vibration control system with time-delay was studied. A multi-step method for solving the similar problem of a multi-input vibration control system was proposed, the unwanted eigenvalues were changed into the given ones and all other eigen-pairs kept unchanged. This method was easy to be programmed and implemented, it didn’t need to use a dynamic flexibility matrix or solve Sylvester equation. Numerical examples showed that the multi-step method is effective.

关键词

反问题 / 部分极点配置 / 时滞 / 多步法

Key words

inverse problem / part of pole points allocation / time-delay / multi-step method

引用本文

导出引用
徐佳佳, 刘皞. 时滞振动控制系统部分极点配置问题的多步法[J]. 振动与冲击, 2018, 37(7): 38-42
XU Jiajia, LIU Hao. A multi-step method for part of pole points allocation of a vibration control system with time-delay[J]. Journal of Vibration and Shock, 2018, 37(7): 38-42

参考文献

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