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On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems
Wu, Ze-Hao1; Guo, Bao-Zhu1,2,3
2019-05-04
Source PublicationINTERNATIONAL JOURNAL OF CONTROL
ISSN0020-7179
Volume92Issue:5Pages:1103-1116
AbstractIn this paper, the practical mean-square convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems modelled by the Ito-type stochastic differential equations with vast stochastic uncertainties is developed. We first design an extended state observer (ESO) to estimate both the unmeasured states and the stochastic total disturbance which includes unknown internal system dynamics, external stochastic disturbance without known statistical characteristics, unknown stochastic inverse dynamics, and uncertainty caused by the deviation of control parameter from its nominal value. The stochastic total disturbance is then cancelled (compensated) in the feedback loop. An ESO-based output-feedback control is finally designed analogously as for the system without uncertainties. The practical mean-square reference tracking and practical mean-square stability of the resulting closed-loop system are achieved. The numerical experiments are carried out to illustrate the effectiveness of the proposed approach.
KeywordStochastic nonlinear systems active disturbance rejection control extended state observer stochastic disturbance reference tracking stability
DOI10.1080/00207179.2017.1382720
Language英语
Funding ProjectKey University Project of Guangdong Province[2014KZDXM063] ; Natural Science Foundation of Guangdong Province[2015A030313636]
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000472091600012
PublisherTAYLOR & FRANCIS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34967
Collection系统科学研究所
Corresponding AuthorGuo, Bao-Zhu
Affiliation1.Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Wu, Ze-Hao,Guo, Bao-Zhu. On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems[J]. INTERNATIONAL JOURNAL OF CONTROL,2019,92(5):1103-1116.
APA Wu, Ze-Hao,&Guo, Bao-Zhu.(2019).On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems.INTERNATIONAL JOURNAL OF CONTROL,92(5),1103-1116.
MLA Wu, Ze-Hao,et al."On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems".INTERNATIONAL JOURNAL OF CONTROL 92.5(2019):1103-1116.
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