Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay
文献类型：期刊论文
| 作者 | Guo, Bao-Zhu1,2,3 ; Yang, Kun-Yi4
|
| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2010-05-01 |
| 卷号 | 55期号:5页码:1226-1232 |
| 关键词 | Exponential stability feedback control observer Schrodinger equation time delay |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2010.2042363 |
| 英文摘要 | In this article, we are concerned with the stabilization of a 1-D Schrodinger equation with boundary control and observation. The boundary observation is suffered from an arbitrary given time delay. We first show that the proportional output feedback control that stabilizes exponentially the time delay free system can not stabilize the corresponding time delay system anymore. We then use the observer and predictor to solve the stabilization problem of time delay system: the state is estimated in the time span where the observation is available; and the state is predicted in the time interval when the observation is not available. It is shown that the estimated state feedback stabilizes exponentially the time delay system. The numerical simulation is presented to illustrate the effect of the stabilizing controller. |
| 资助项目 | National Natural Science Foundation of China ; National Research Foundation of South Africa |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000277490600019 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9273]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Guo, Bao-Zhu |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa 4.N China Univ Technol, Coll Sci, Beijing 100041, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Bao-Zhu,Yang, Kun-Yi. Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2010,55(5):1226-1232. |
| APA | Guo, Bao-Zhu,&Yang, Kun-Yi.(2010).Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,55(5),1226-1232. |
| MLA | Guo, Bao-Zhu,et al."Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 55.5(2010):1226-1232. |
入库方式： OAI收割
来源：数学与系统科学研究院
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