时滞振动控制系统部分极点配置问题的多步法

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

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且不需要利用动柔度矩阵或求解Sylvester方程。数值试验的结果表明多步法是有效的。

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.