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Extended state observer for MIMO nonlinear systems with stochastic uncertainties
Wu, Ze-Hao1; Guo, Bao-Zhu1,2,3
2020-03-03
Source PublicationINTERNATIONAL JOURNAL OF CONTROL
ISSN0020-7179
Volume93Issue:3Pages:424-436
AbstractIn this paper, both linear extended state observer (ESO) and nonlinear ESO with homogeneous weighted functions are proposed for a class of multi-input multi-output (MIMO) nonlinear systems composed of coupled subsystems with large stochastic uncertainties. The stochastic uncertainties in each subsystem including internal coupled unmodelled dynamics and external stochastic disturbance without known statistical characteristics are lumped together as the stochastic total disturbance (extended state) of each subsystem. The linear ESO and nonlinear ESO are designed separately for real-time estimation of not only the unmeasured state but also the stochastic total disturbance of each subsystem. The practical mean square convergence of these two classes of ESOs are developed. Some numerical simulations are presented to demonstrate the effectiveness of the ESOs with the advantages of smaller peaking values and more accurate estimation by the nonlinear ESO.
KeywordExtended state observer active disturbance rejection control MIMO nonlinear systems stochastic uncertainties unmodelled dynamics
DOI10.1080/00207179.2018.1475750
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11501108] ; National Natural Science Foundation of China[11501106] ; Project of Department of Education of Guangdong Province[2017KTSCX191] ; Project of Department of Education of Guangdong Province[2017KZDXM087] ; Project of Department of Education of Guangdong Province[2014KZDXM063] ; Natural Science Foundation of Guangdong Province[2015A030313636] ; Natural Science Foundation of Guangdong Province[2016A030313835]
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000525971000007
PublisherTAYLOR & FRANCIS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51209
Collection中国科学院数学与系统科学研究院
Corresponding AuthorWu, Ze-Hao
Affiliation1.Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China
2.Acad Sinica, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing, Peoples R China
3.Univ Chinese Acad Sci, Sch Math, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Wu, Ze-Hao,Guo, Bao-Zhu. Extended state observer for MIMO nonlinear systems with stochastic uncertainties[J]. INTERNATIONAL JOURNAL OF CONTROL,2020,93(3):424-436.
APA Wu, Ze-Hao,&Guo, Bao-Zhu.(2020).Extended state observer for MIMO nonlinear systems with stochastic uncertainties.INTERNATIONAL JOURNAL OF CONTROL,93(3),424-436.
MLA Wu, Ze-Hao,et al."Extended state observer for MIMO nonlinear systems with stochastic uncertainties".INTERNATIONAL JOURNAL OF CONTROL 93.3(2020):424-436.
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