Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance
文献类型：期刊论文
| 作者 | Zhou, Hua-Cheng5; Lv, Chunwan4; Guo, Bao-Zhu2,3,4; Chen, YangQuan1 |
| 刊名 | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
 |
| 出版日期 | 2019-09-10 |
| 卷号 | 29期号:13页码:4384-4401 |
| 关键词 | active disturbance rejection control (ADRC) Mittag-Leffler stabilization time-fractional anomalous diffusion equation |
| ISSN号 | 1049-8923 |
| DOI | 10.1002/rnc.4632 |
| 英文摘要 | This paper addresses the Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control subject to the control matched disturbance. The active disturbance rejection control (ADRC) approach is adopted for developing the control law. A state-feedback scheme is designed to estimate the disturbance by constructing two auxiliary systems: One is to separate the disturbance from the original system to a Mittag-Leffler stable system and the other is to estimate the disturbance finally. The proposed control law compensates the disturbance using its estimation and stabilizes system asymptotically. The closed-loop system is shown to be Mittag-Leffler stable and the constructed auxiliary systems in the closed loop are proved to be bounded. This is the first time for ADRC to be applied to a system described by the fractional partial differential system without using the high gain. |
| WOS研究方向 | Automation & Control Systems ; Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000478620500007 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35352]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhou, Hua-Cheng |
| 作者单位 | 1.Univ Calif Merced, MESA Lab, Merced, CA USA 2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 3.North China Elect Power Univ, Sch Math & Phys, Beijing, Peoples R China 4.Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China 5.Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, Hua-Cheng,Lv, Chunwan,Guo, Bao-Zhu,et al. Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2019,29(13):4384-4401. |
| APA | Zhou, Hua-Cheng,Lv, Chunwan,Guo, Bao-Zhu,&Chen, YangQuan.(2019).Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,29(13),4384-4401. |
| MLA | Zhou, Hua-Cheng,et al."Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 29.13(2019):4384-4401. |
入库方式： OAI收割
来源：数学与系统科学研究院
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