Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation

doi:10.1109/TAC.2021.3056599

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	Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation
	Liu, Jun-Jun 1; Guo, Bao-Zhu 2,3
	2022-03-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	67 期号:3 页码:1120-1134
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.
关键词	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
收录类别	SCI
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000761219400007
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60122
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.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
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.