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Active disturbance rejection control approach to output-feedback stabilization of lower triangular nonlinear systems with stochastic uncertainty
Guo, Bao-Zhu1,2; Wu, Ze-Hao1
2017-11-10
Source PublicationINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
Volume27Issue:16Pages:2773-2797
AbstractIn this paper, we apply the active disturbance rejection control approach to output-feedback stabilization for uncertain lower triangular nonlinear systems with stochastic inverse dynamics and stochastic disturbance. We first design an extended state observer (ESO) to estimate both unmeasured states and stochastic total disturbance that includes unknown system dynamics, unknown stochastic inverse dynamics, external stochastic disturbance, and uncertainty caused by the deviation of control parameter from its nominal value. The stochastic total disturbance is then compensated in the feedback loop. The constant gain and the time-varying gain are used in ESO design separately. The mean square practical stability for the closed-loop system with constant gain ESO and the mean square asymptotic stability with time-varying gain ESO are developed, respectively. Some numerical simulations are presented to demonstrate the effectiveness of the proposed output-feedback control scheme. Copyright (c) 2016 John Wiley & Sons, Ltd.
Keywordlower triangular nonlinear systems extended state observer stochastic disturbance stabilization
DOI10.1002/rnc.3710
Language英语
Funding ProjectNational Natural Science Foundation of China ; National Research Foundation of South Africa
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000413011200008
PublisherWILEY
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26747
Collection系统科学研究所
Corresponding AuthorWu, Ze-Hao
Affiliation1.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa
Recommended Citation
GB/T 7714
Guo, Bao-Zhu,Wu, Ze-Hao. Active disturbance rejection control approach to output-feedback stabilization of lower triangular nonlinear systems with stochastic uncertainty[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2017,27(16):2773-2797.
APA Guo, Bao-Zhu,&Wu, Ze-Hao.(2017).Active disturbance rejection control approach to output-feedback stabilization of lower triangular nonlinear systems with stochastic uncertainty.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,27(16),2773-2797.
MLA Guo, Bao-Zhu,et al."Active disturbance rejection control approach to output-feedback stabilization of lower triangular nonlinear systems with stochastic uncertainty".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 27.16(2017):2773-2797.
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