A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance

doi:10.1109/TAC.2016.2636571

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	A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance
	Feng, Hongyinping 1; Guo, Bao-Zhu2,3
	2017-08-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	62 期号:8 页码:3774-3787
摘要	The disturbance estimate is the central idea of active disturbance rejection control (ADRC), where the disturbance is estimated via extended state observer (ESO). However, the conventional ESO requires the disturbance to have slow variation and in order to counteract such disturbance, the ESO must use high gain or discontinuous function. In this paper, we demonstrate for the first time, through a one-dimensional anti-stable wave system, the online disturbance estimation by designing an infinite-dimensional disturbance estimator. We go back to the starting point of ADRC that the exactly observable output allows identification of the disturbance which can thereupon be estimated. This realizes the estimation/cancellation strategy of ADRC in a very different way without resorting conventional ESO. We do not regard the disturbance as an "extra-state" variable in the ESO, and hence avoid the two limitations of the ESO. Since the disturbance is estimated, it can be compensated in the feedback loop. It is shown that the disturbance estimator-based feedback control can successfully stabilize the PDE system and at the same time guarantees that all subsystems involved are uniformly bounded. A numerical simulation is presented to illustrate the effectiveness of the the proposed scheme.
关键词	Active disturbance rejection control anti-stable wave disturbance estimator output feedback stabilization
DOI	10.1109/TAC.2016.2636571
语种	英语
资助项目	National Natural Science Foundation of China[61403239] ; National Natural Science Foundation of China[11671240] ; Science Council of Shanxi Province[2015021010] ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000406395900006
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26278
专题	系统科学研究所
通讯作者	Feng, Hongyinping
作者单位	1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 2.Acad Sinica, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Comp Sci & Appl Math, Johannesburg, South Africa
推荐引用方式 GB/T 7714	Feng, Hongyinping,Guo, Bao-Zhu. A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017,62(8):3774-3787.
APA	Feng, Hongyinping,&Guo, Bao-Zhu.(2017).A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,62(8),3774-3787.
MLA	Feng, Hongyinping,et al."A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 62.8(2017):3774-3787.