Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay

doi:10.1109/TAC.2010.2042363

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	Output Feedback Stabilization of a One-Dimensional Schrodinger Equation by Boundary Observation With Time Delay
	Guo, Bao-Zhu1,2,3 ; Yang, Kun-Yi 4
	2010-05-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	55 期号:5 页码:1226-1232
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.
关键词	Exponential stability feedback control observer Schrodinger equation time delay
DOI	10.1109/TAC.2010.2042363
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000277490600019
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/9274
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.