| Exponential stabilization of an axially moving string with geometrical nonlinearity by linear boundary feedback | |
| Li, Tiecheng ; Hou, Zhichao | |
| 2010-05-11 ; 2010-05-11 | |
| 关键词 | ACTIVE VIBRATION CONTROL Acoustics Engineering, Mechanical Mechanics |
| 中文摘要 | This paper addresses the vibration suppression problem of an axially moving string using boundary control. Taking into account large transverse motion of the string via the second-order component of Lagrangian strain, a nonlinear oscillation equation is derived for the problem by employing the Hamilton's Principle. Direct Lyapunov method is then adopted to demonstrate that a linear boundary control of negative speed feedback ensures the vibration response of the moving string exponentially stable. The main contributions are a new stability condition in terms of controller gain parameter, and a detailed demonstration on the equilibrium condition at the boundary where the control is applied. (c) 2006 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD ; LONDON ; 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/25543]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Li, Tiecheng,Hou, Zhichao. Exponential stabilization of an axially moving string with geometrical nonlinearity by linear boundary feedback[J],2010, 2010. |
| APA | Li, Tiecheng,&Hou, Zhichao.(2010).Exponential stabilization of an axially moving string with geometrical nonlinearity by linear boundary feedback.. |
| MLA | Li, Tiecheng,et al."Exponential stabilization of an axially moving string with geometrical nonlinearity by linear boundary feedback".(2010). |
| 个性服务 |
| 查看访问统计 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。
修改评论