Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance

doi:10.1002/rnc.4632

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	Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance
	Zhou, Hua-Cheng 1; Lv, Chunwan 2; Guo, Bao-Zhu 2,3,4; Chen, YangQuan 5
	2019-09-10
发表期刊	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN	1049-8923
卷号	29 期号:13 页码:4384-4401
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.
关键词	active disturbance rejection control (ADRC) Mittag-Leffler stabilization time-fractional anomalous diffusion equation
DOI	10.1002/rnc.4632
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS记录号	WOS:000478620500007
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35353
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.Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China 2.Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China 3.North China Elect Power Univ, Sch Math & Phys, Beijing, Peoples R China 4.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 5.Univ Calif Merced, MESA Lab, Merced, CA USA
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.