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时滞线性系统振动主动控制的最优化方法
引用本文:蔡国平,黄金枝.时滞线性系统振动主动控制的最优化方法[J].上海交通大学学报,2002,36(11):1596-1599.
作者姓名:蔡国平  黄金枝
作者单位:上海交通大学,工程力学系,上海,200030
摘    要:从时滞微分方程求解控制律,对时滞线性系统振动主动控制的最优化方法进行了研究,并给出了具体实现过程,推导出的控制律表达式中,不但包含有当前的状态反馈,还包含有前若干步控制的线性组合,算例结果显示,所提控制方法能够较好地控制系统的峰值响应,且能够保证控制系统的稳定性;若按无时滞控制设计对时滞系统进行振动控制,系统响应有可能发散。

关 键 词:时滞  线性系统  最优控制  峰值响应
文章编号:1006-2467(2002)11-1596-04
修稿时间:2001年11月22

Optimal Control Method for Linear Vibration Systems with Time Delay in Control
CAI Guo ping,HUANG Jin zhi.Optimal Control Method for Linear Vibration Systems with Time Delay in Control[J].Journal of Shanghai Jiaotong University,2002,36(11):1596-1599.
Authors:CAI Guo ping  HUANG Jin zhi
Abstract:The controller of the investigated optimal control method is obtained from analyzing the time delay differential equation. The deduced controller contains not only the current step of state feedback but also the linear combination of some former steps of control. The simulation results demonstrate that the presented control method is effective in reducing maximum responses of the systems, and the system stability can be guaranteed by using this control method. The instability in responses may occurs if the systems with time delay are controlled by using the controller designed in the case of no time delay.
Keywords:time delay  linear system  optimal control  maximum response
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