Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only
文献类型：期刊论文
| 作者 | Feng, Hongyinping1; Guo, Bao-Zhu2,3
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| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2017-03-01 |
| 卷号 | 62期号:3页码:1438-1444 |
| 关键词 | Boundary control exact observability finite-time stability observer wave equation |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2016.2572122 |
| 英文摘要 | In this technical note, we consider finite-time and exponential stabilization for one-dimensional wave equations by boundary displacement measurement only. We limit ourselves in the energy state space where the usual observability inequality is not valid anymore. However, in the optimal state space, the boundary displacement is indeed exactly observable. This motivates us to design observer via displacement output only for these systems. We first discuss a simple case as a motivation. An observer is designed and an output feedback control is then synthesized to make system finite-time stable in energy space. In this same spirit, we consider the same problem for an unstable wave equation and the finite-time stability is also achieved by displacement output feedback. Finally, we consider an anti-stable wave equation. A direct delayed output feedback control can achieve exponential stability with arbitrary decay rate. Simulation results are presented to validate the theoretical conclusions. |
| 资助项目 | National Natural Science Foundation of China[61403239] ; Science Council of Shanxi Province[2015021010] ; National Research Foundation of South Africa |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000395924300033 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24736]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Feng, Hongyinping; Guo, Bao-Zhu |
| 作者单位 | 1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa |
| 推荐引用方式 GB/T 7714 | Feng, Hongyinping,Guo, Bao-Zhu. Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017,62(3):1438-1444. |
| APA | Feng, Hongyinping,&Guo, Bao-Zhu.(2017).Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,62(3),1438-1444. |
| MLA | Feng, Hongyinping,et al."Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 62.3(2017):1438-1444. |
入库方式： OAI收割
来源：数学与系统科学研究院
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