Research on active vibration control method of variable order oscillator

机译：变阶振荡器的主动振动控制方法研究

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摘要

In the paper, a dimensionless version of the model oscillator is studied, the equation of motion is given as D2x(t)+c0D(1+x2)/2x(t)+k0D0x(t)=F(t). Considering that the approximation expression of variable order(VO) differential operator is more complicated, it is difficult to design directly the controller, based on the curve analysis of displacement versus time, a truncation mode of VO differential operator is proposed, an optimal controller is developed for the VO differential equation under study in order to reduce the dynamic responses.

机译：在本文中，研究了模型振荡器的无量纲形式，运动方程为D2x（t）+ c0D（1 + x2）/ 2x（t）+ k0D0x（t）= F（t）。考虑到可变阶（VO）微分算子的近似表达式较为复杂，难以直接设计控制器，基于位移随时间的曲线分析，提出了一种VO微分算子的截断模式，给出了一种最优控制器。为研究中的VO微分方程而开发，以减少动态响应。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-7|共7页
会议地点 Nanjing(CN)
作者
Xingde Zhou; Lujian Wang; Dongju Jiang; Ping Li; Yongzhi Li; Feima Qing;
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作者单位

Key Laboratory of Ministry of Education for Geo-mechanics and EmbankmentEngineering,Hohai University,Nanjing 210098,China Institute of Engineering Safety and Disaster Prevention, Hohai University,Nanjing210098,China;

Institute of Engineering Safety and Disaster Prevention, Hohai University,Nanjing210098,China;

Department of Engineering Mechanics,Hohai University,Nanjing 210098,China;

Department of Engineering Mechanics,Hohai University,Nanjing 210098,China;

Institute of Engineering Safety and Disaster Prevention, Hohai University,Nanjing210098,China;

Institute of Engineering Safety and Disaster Prevention, Hohai University,Nanjing 210098,China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
VO; vibration control; oscillator; truncation mode;

机译：VO;振动控制;振荡器;截断模式;

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Research on active vibration control method of variable order oscillator

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