KMS Of Academy of mathematics and systems sciences, CAS
| Observers and Disturbance Rejection Control for a Heat Equation | |
| Feng, Hongyinping1; Xu, Cheng-Zhong2; Yao, Peng-Fei3,4 | |
| 2020-11-01 | |
| Source Publication | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| ISSN | 0018-9286 |
| Volume | 65Issue:11Pages:4957-4964 |
| Abstract | The article is concerned with active disturbance rejection control of a heat equation. The considered heat equation satisfies the Dirichlet boundary condition on one part of the boundary. On the other part of the boundary is located a Neumann boundary control. The heat equation system suffers from both a model uncertainty in the heat flow modeling and an unknown external disturbance. Our control approach is based on the design of an exponentially converging observer to estimates both the state and the unknown uncertainty. The estimated state and the estimated uncertainty are used to build a stabilizing feedback control law such that the closed-loop system is exponentially stabilized, and the external disturbance is rejected. |
| Keyword | Mathematical model Observers Heating systems Uncertainty Feedback control Closed loop systems Disturbance rejection control heat equation nonlinear boundary condition observer stabilization |
| DOI | 10.1109/TAC.2020.3022849 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61873153] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] |
| WOS Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000583711500045 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52474 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Xu, Cheng-Zhong |
| Affiliation | 1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 2.Univ Claude Bernard Lyon 1, Univ Lyon, Dept Mech, LAGEPP, Batiment CPE,43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Feng, Hongyinping,Xu, Cheng-Zhong,Yao, Peng-Fei. Observers and Disturbance Rejection Control for a Heat Equation[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2020,65(11):4957-4964. |
| APA | Feng, Hongyinping,Xu, Cheng-Zhong,&Yao, Peng-Fei.(2020).Observers and Disturbance Rejection Control for a Heat Equation.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,65(11),4957-4964. |
| MLA | Feng, Hongyinping,et al."Observers and Disturbance Rejection Control for a Heat Equation".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 65.11(2020):4957-4964. |
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