KMS Of Academy of mathematics and systems sciences, CAS
| Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation | |
Guo, Bao-Zhu1,2,3 ; Zhou, Hua-Cheng2
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| 2016-03-01 | |
| Source Publication | EUROPEAN JOURNAL OF CONTROL
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| ISSN | 0947-3580 |
| Volume | 28Pages:38-48 |
| Abstract | We consider boundary output feedback stabilization for a multi-dimensional Kirchhoff plate with boundary observation suffered from a general external disturbance. We adopt for the first time the active disturbance rejection control approach to stabilization of multi-dimensional partial differential equations under corrupted output feedback. In terms of this approach, the disturbance is estimated by a relatively independent estimator, based on (possibly) an infinite number of ordinary differential equations reduced from the original PDEs by infinitely many time-dependent test functions. This gives a state observer, an additional result via this approach. The disturbance is compensated in the feedback-loop. As a result, the control law can be designed almost as the same as that for the system without disturbance. We show that with a time varying gain properly designed, the observer driven by the disturbance estimator is convergent; and that all subsystems in the closed-loop are asymptotically stable. We also provide numerical simulations which demonstrate the convergence results and underline the effect of the time varying high gain estimator. (C) 2015 European Control Association. Published by Elsevier Ltd. All rights reserved. |
| Keyword | Kirchhoff plate Boundary control Disturbance rejection Stabilization |
| DOI | 10.1016/j.ejcon.2015.12.004 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China ; National Research Foundation of South Africa |
| WOS Research Area | Automation & Control Systems |
| WOS Subject | Automation & Control Systems |
| WOS ID | WOS:000374082500003 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22517 |
| Collection | 系统科学研究所 |
| Corresponding Author | Guo, Bao-Zhu |
| Affiliation | 1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa |
| Recommended Citation GB/T 7714 | Guo, Bao-Zhu,Zhou, Hua-Cheng. Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation[J]. EUROPEAN JOURNAL OF CONTROL,2016,28:38-48. |
| APA | Guo, Bao-Zhu,&Zhou, Hua-Cheng.(2016).Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation.EUROPEAN JOURNAL OF CONTROL,28,38-48. |
| MLA | Guo, Bao-Zhu,et al."Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation".EUROPEAN JOURNAL OF CONTROL 28(2016):38-48. |
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