Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty
文献类型：期刊论文
| 作者 | Zhou, Hua-Cheng1,2; Guo, Bao-Zhu1,3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2017-08-15 |
| 卷号 | 263期号:4页码:2213-2246 |
| 关键词 | Wave equation Boundary control Active disturbance rejection control Disturbance rejection Output feedback stabilization |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2017.03.043 |
| 英文摘要 | In this paper, we consider boundary output feedback stabilization for a multi-dimensional wave equation with boundary control matched unknown nonlinear internal uncertainty and external disturbance. A new unknown input type extended state observer is proposed to recover both state and total disturbance which consists of internal uncertainty and external disturbance. A key feature of the proposed observer in this paper is that we do not use the high-gain to estimate the disturbance. By the active disturbance rejection control (ADRC) strategy, the total disturbance is compensated (canceled) in the feedback loop, which together with a collocated stabilizing controller without uncertainty, leads to an output feedback stabilizing feedback control. It is shown that the resulting closed-loop system is well-posed and asymptotically stable under weak assumption on internal uncertainty and external disturbance. The numerical experiments are carried out to show the effectiveness of the proposed scheme. (C) 2017 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[61273129] ; Key University Project of Guangdong Province[2014KEDXM063] ; Israel Science Foundation[800/14] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000402582100009 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25626]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhou, Hua-Cheng |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Tel Aviv Univ, Sch Elect Engn, IL-69978 Ramat Aviv, Israel 3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, Hua-Cheng,Guo, Bao-Zhu. Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2017,263(4):2213-2246. |
| APA | Zhou, Hua-Cheng,&Guo, Bao-Zhu.(2017).Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty.JOURNAL OF DIFFERENTIAL EQUATIONS,263(4),2213-2246. |
| MLA | Zhou, Hua-Cheng,et al."Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty".JOURNAL OF DIFFERENTIAL EQUATIONS 263.4(2017):2213-2246. |
入库方式： OAI收割
来源：数学与系统科学研究院
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