含双时滞振动主动控制系统的稳定性分析

孙清 1; 刘正伟 1; 伍晓红 2; 张斌 1

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含双时滞振动主动控制系统的稳定性分析

更新时间：2025-07-09

- 含双时滞振动主动控制系统的稳定性分析
- Stability Analysis of Active Vibration Control System Involving Double Time Delays
- 西安交通大学学报 2010年44卷第1期页码：112-116
- 作者机构：
  
  西安交通大学土木工程系,西安,710049
- 作者简介：
- 基金信息：
  
  : 2009-05-08. 作者简介: 孙清(1970-), 男, 副教授, 博士. 基金项目: 国家自然科学基金资助项目(10772141)
- DOI：
  中图分类号： O317
- 网络首发：2010-01-10，
  
  纸质出版：2010
- 稿件说明：
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孙清 1, 刘正伟 1, 伍晓红 2, 等. 含双时滞振动主动控制系统的稳定性分析[J]. 西安交通大学学报, 2010,44(1):112-116.

Stability Analysis of Active Vibration Control System Involving Double Time Delays[J]. 2010, 44(1): 112-116.
孙清 1, 刘正伟 1, 伍晓红 2, 等. 含双时滞振动主动控制系统的稳定性分析[J]. 西安交通大学学报, 2010,44(1):112-116. DOI：

Stability Analysis of Active Vibration Control System Involving Double Time Delays[J]. 2010, 44(1): 112-116. DOI：

摘要

采用增量谐波平衡法求得了含双时滞振动主动控制系统的周期解

并利用庞加莱定理对周期解进行了稳定性分析

得到了系统周期解关于时滞量和反馈控制增益变化的稳定性区域.分析了稳定性区域随时滞量和反馈控制增益的变化规律

结果表明

两个反馈控制增益的相对大小决定着与之相关的两个时滞对系统稳定性区域影响的大小

当时滞量和反馈控制增益匹配适当时

可以使系统保持稳定状态.此结果可为时滞反馈控制策略的设计提供依据.

Abstract

The periodic solution of the active vibration control system involving double time delays is solved using the incremental harmonic balance method(IHB). The stability analysis of the periodic solution is carried out following the Poincare theorem. The system stability regions with respect to time delay and feedback gain are obtained

and the variation of the stability regions with the time delay and the feedback gain is investigated. The results show that the influence level of the two time delays on the system stability region is determined by the relative magnitude of the two feedback gains. The system always keeps stable state when the time delay and the feedback gain get matched

which provides evidence to the control strategy design of time-delayed feedback.

关键词

Keywords

references

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