Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation
文献类型：期刊论文
| 作者 | Liu, Jun-Jun3; Guo, Bao-Zhu1,2 |
| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2022-03-01 |
| 卷号 | 67期号:3页码:1120-1134 |
| 关键词 | Mathematical model Feedback control Regulation Observers Feedforward systems Eigenvalues and eigenfunctions Convergence Internal model principle output tracking robust control Schrodinger equation |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2021.3056599 |
| 英文摘要 | In this article, we consider robust output tracking for a Schrodinger equation with external disturbances in all possible channels. The challenge of the problem comes from the fact that the observation operator is unbounded and the regulated output and the control are noncollocated. An observer-based approach is adopted in investigation. We first select specially some coefficients of the disturbances to obtain a nominal system, which is a coupled PDE+ODE system. For this nominal system, we design a feedforward control by solving related regulator equation. An observer is then designed for the nominal system in terms of the tracking error only. As a result, an error feedback control is, thus, designed by replacing the state and disturbances in the feedforward control with their estimates obtained from the observer. We show that this observer based error feedback control is robust to disturbances in all possible channels and system uncertainty. The stability of the closed loop and convergence are established by the Riesz basis approach. Some numerical simulations are presented to validate the results. |
| 资助项目 | National Natural Science Foundation of China[61873260] ; China Postdoctoral Science Foundation[2020M680919] |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000761219400007 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60121]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, Bao-Zhu |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 3.Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Jun-Jun,Guo, Bao-Zhu. Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2022,67(3):1120-1134. |
| APA | Liu, Jun-Jun,&Guo, Bao-Zhu.(2022).Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,67(3),1120-1134. |
| MLA | Liu, Jun-Jun,et al."Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 67.3(2022):1120-1134. |
入库方式： OAI收割
来源：数学与系统科学研究院
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