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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, Hongyinping1; Guo, Bao-Zhu2,3
2017-08-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume62Issue:8Pages:3774-3787
AbstractThe 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.
KeywordActive disturbance rejection control anti-stable wave disturbance estimator output feedback stabilization
DOI10.1109/TAC.2016.2636571
Language英语
Funding ProjectNational 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 Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000406395900006
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:22[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26278
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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