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Active disturbance rejection control to MIMO nonlinear systems with stochastic uncertainties: approximate decoupling and output-feedback stabilisation
Wu, Ze-Hao1; Guo, Bao-Zhu1,2,3
2020-06-02
Source PublicationINTERNATIONAL JOURNAL OF CONTROL
ISSN0020-7179
Volume93Issue:6Pages:1408-1427
AbstractIn this paper, we apply the active disturbance rejection control, an emerging control technology, to output-feedback stabilisation for a class of uncertain multi-input multi-output nonlinear systems with vast stochastic uncertainties. Two types of extended state observers (ESO) are designed to estimate both unmeasured states and stochastic total disturbance which includes unknown system dynamics, unknown stochastic inverse dynamics, external stochastic disturbance without requiring the statistical characteristics, uncertain nonlinear interactions between subsystems, and uncertainties caused by the deviation of control parameters from their nominal values. The estimations decouple approximately the system after cancelling stochastic total disturbance in the feedback loop. As a result, we are able to design an ESO-based stabilising output-feedback and prove the practical mean square stability for the closed-loop system with constant gain ESO and the asymptotic mean square stability with time-varying gain ESO, respectively. Some numerical simulations are presented to demonstrate the effectiveness of the proposed output-feedback control scheme.
KeywordActive disturbance rejection control extended state observer MIMO nonlinear systems stochastic disturbance stabilisation
DOI10.1080/00207179.2018.1508854
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11501108] ; Natural Science Foundation of Guangdong Province[2015A030313636] ; 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[2017KQNCX209]
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000537014100015
PublisherTAYLOR & FRANCIS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51579
Collection中国科学院数学与系统科学研究院
Corresponding AuthorGuo, Bao-Zhu
Affiliation1.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Univ Witwatersrand, Sch Comp Sci & Appl Math, Johannesburg, South Africa
Recommended Citation
GB/T 7714
Wu, Ze-Hao,Guo, Bao-Zhu. Active disturbance rejection control to MIMO nonlinear systems with stochastic uncertainties: approximate decoupling and output-feedback stabilisation[J]. INTERNATIONAL JOURNAL OF CONTROL,2020,93(6):1408-1427.
APA Wu, Ze-Hao,&Guo, Bao-Zhu.(2020).Active disturbance rejection control to MIMO nonlinear systems with stochastic uncertainties: approximate decoupling and output-feedback stabilisation.INTERNATIONAL JOURNAL OF CONTROL,93(6),1408-1427.
MLA Wu, Ze-Hao,et al."Active disturbance rejection control to MIMO nonlinear systems with stochastic uncertainties: approximate decoupling and output-feedback stabilisation".INTERNATIONAL JOURNAL OF CONTROL 93.6(2020):1408-1427.
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