KMS Of Academy of mathematics and systems sciences, CAS
| Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation | |
| Liu, Jun-Jun1; Guo, Bao-Zhu2,3 | |
| 2022-03-01 | |
| Source Publication | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| ISSN | 0018-9286 |
| Volume | 67Issue:3Pages:1120-1134 |
| Abstract | 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. |
| Keyword | Mathematical model Feedback control Regulation Observers Feedforward systems Eigenvalues and eigenfunctions Convergence Internal model principle output tracking robust control Schrodinger equation |
| DOI | 10.1109/TAC.2021.3056599 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61873260] ; China Postdoctoral Science Foundation[2020M680919] |
| WOS Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000761219400007 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60122 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Guo, Bao-Zhu |
| Affiliation | 1.Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China 2.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China |
| Recommended Citation 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. |
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