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On Convergence of Extended State Observer for a Class of MIMO Uncertain Stochastic Nonlinear Systems
Wu, Zehao1; Huang, Guoshun1; Wu, Chufen1; Lv, Chunwan1; Bao, Lingxin2,3
2018
发表期刊IEEE ACCESS
ISSN2169-3536
卷号6页码:37758-37766
摘要Extended state observer (ESO) is the key part of active disturbance rejection control, a new control strategy motivated and developed highly from PID's model-free feature. In this paper, both constant gain ESO and time-varying gain ESO are proposed for a class of multi-input multi-output uncertain stochastic nonlinear systems subject to vast stochastic uncertainties. The total stochastic uncertainties in each subsystem including unmodeled dynamics, unknown stochastic inverse dynamics, external stochastic disturbance without known statistical characteristics, and uncertain nonlinear interactions between subsystems are regarded as the stochastic total disturbance (extended state) of each subsystem of the plant. The constant gain ESO and time-varying gain ESO are designed for the estimation of not only the unmeasured state but also the stochastic total disturbance of each subsystem in real time, and the corresponding mean square convergence of these two classes of ESOs are developed rigorously. Some numerical simulations are presented to demonstrate the effectiveness of estimation by ESO approach and the peaking value reduction by the time-varying gain ESO.
关键词Extended state observer active disturbance rejection control MIMO systems stochastic uncertainties convergence
DOI10.1109/ACCESS.2018.2849199
语种英语
资助项目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研究方向Computer Science ; Engineering ; Telecommunications
WOS类目Computer Science, Information Systems ; Engineering, Electrical & Electronic ; Telecommunications
WOS记录号WOS:000439699300002
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/33392
专题中国科学院数学与系统科学研究院
通讯作者Bao, Lingxin
作者单位1.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China
2.Fujian Agr & Forestry Univ, Sch Comp & Informat, Fuzhou 350002, Fujian, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
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Wu, Zehao,Huang, Guoshun,Wu, Chufen,et al. On Convergence of Extended State Observer for a Class of MIMO Uncertain Stochastic Nonlinear Systems[J]. IEEE ACCESS,2018,6:37758-37766.
APA Wu, Zehao,Huang, Guoshun,Wu, Chufen,Lv, Chunwan,&Bao, Lingxin.(2018).On Convergence of Extended State Observer for a Class of MIMO Uncertain Stochastic Nonlinear Systems.IEEE ACCESS,6,37758-37766.
MLA Wu, Zehao,et al."On Convergence of Extended State Observer for a Class of MIMO Uncertain Stochastic Nonlinear Systems".IEEE ACCESS 6(2018):37758-37766.
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