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Time-delayed feedback control optimization for quasi linear systems under random excitations
  • ISSN号：0567-7718
  • 期刊名称：Acta Mechanica Sinica
  • 时间：0
  • 页码：395-402
  • 语言：英文
  • 分类：O231[理学—运筹学与控制论;理学—数学] TP3[自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]School of Civil Engineering and Transportation, South China University of Technology, 510640 Guangzhou, China
  • 相关基金：The project was supported by the National Natural Science Foundation of China （10772159） and Specialized Research Fund for the Doctoral Program of Higher Education of China （20060335125）.
  • 相关项目：非高斯随机激励下多自由度非线性系统随机动力学
作者： Li, Xueping|Wei, Demin|Zhu, Weiqiu|
关键词： 半线性系统, 控制优化, 延迟反馈, 随机激励, 时间延迟, Kolmogorov, 随机平均法, 蒙特卡罗模拟, Quasi linear system , Time-delayed feedback Stochastic averaging method, Random excitation
中文摘要：

为伪的推迟时间的反馈控制优化的策略有随机的刺激的线性系统被建议。首先，随机的平均方法被用来减少州的空格的尺寸并且导出系统的静止反应。第二，控制法律被假定是有时间延期的速度反馈控制，未知控制获得被表演索引决定。控制系统的反应通过解决与平均 Itô 方程联系的佛克板 Kolmogorov 方程被预言。最后，数字例子被用来说明建议控制方法，并且数字结果被蒙特卡罗模拟证实。

英文摘要：

A strategy for time-delayed feedback control optimization of quasi linear systems with random excitation is proposed. First, the stochastic averaging method is used to reduce the dimension of the state space and to derive the stationary response of the system. Secondly, the control law is assumed to be velocity feedback control with time delay and the unknown control gains are determined by the performance indices. The response of the controlled system is predicted through solving the Fokker-Plank-Kolmogorov equation associated with the averaged Ito equation. Finally, numerical examples are used to illustrate the proposed control method, and the numerical results are confirmed by Monte Carlo simulation .

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非高斯随机激励下多自由度非线性系统随机动力学
期刊论文 52 会议论文 10
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期刊信息
  • 《力学学报：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：卢天健
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：actams@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0567-7718
  • 国内统一刊号：ISSN：11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352