KMS Of Academy of mathematics and systems sciences, CAS
| BOUNDARY CONTROLLERS AND OBSERVERS FOR THE LINEARIZED SCHRODINGER EQUATION | |
Krstic, Miroslav1; Guo, Bao-Zhu2,3,4 ; Smyshlyaev, Andrey1
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| 2011 | |
| Source Publication | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
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| ISSN | 0363-0129 |
| Volume | 49Issue:4Pages:1479-1497 |
| Abstract | We consider a problem of stabilization of the linearized Schrodinger equation using boundary actuation and measurements. We propose two different control designs. First, a simple proportional collocated boundary controller is shown to exponentially stabilize the system. However, the decay rate of the closed-loop system cannot be prescribed. The second, full-state feedback boundary control design, achieves an arbitrary decay rate. We formally view the Schrodinger equation as a heat equation in complex variables and apply the backstepping method recently developed for boundary control of reaction-advection-diffusion equations. The resulting controller is then supplied with the backstepping observer to obtain an output-feedback compensator. The designs are illustrated with simulations. |
| Keyword | distributed parameter systems backstepping stabilization |
| DOI | 10.1137/070704290 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa |
| WOS Research Area | Automation & Control Systems ; Mathematics |
| WOS Subject | Automation & Control Systems ; Mathematics, Applied |
| WOS ID | WOS:000294309600006 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12188 |
| Collection | 系统科学研究所 |
| Corresponding Author | Krstic, Miroslav |
| Affiliation | 1.Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 4.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa |
| Recommended Citation GB/T 7714 | Krstic, Miroslav,Guo, Bao-Zhu,Smyshlyaev, Andrey. BOUNDARY CONTROLLERS AND OBSERVERS FOR THE LINEARIZED SCHRODINGER EQUATION[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2011,49(4):1479-1497. |
| APA | Krstic, Miroslav,Guo, Bao-Zhu,&Smyshlyaev, Andrey.(2011).BOUNDARY CONTROLLERS AND OBSERVERS FOR THE LINEARIZED SCHRODINGER EQUATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,49(4),1479-1497. |
| MLA | Krstic, Miroslav,et al."BOUNDARY CONTROLLERS AND OBSERVERS FOR THE LINEARIZED SCHRODINGER EQUATION".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 49.4(2011):1479-1497. |
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