On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems

doi:10.1080/00207179.2017.1382720

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	On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems
	Wu, Ze-Hao 2; Guo, Bao-Zhu1,2,3
刊名	INTERNATIONAL JOURNAL OF CONTROL
	2019-05-04
卷号	92 期号:5 页码:1103-1116
关键词	Stochastic nonlinear systems active disturbance rejection control extended state observer stochastic disturbance reference tracking stability
ISSN号	0020-7179
DOI	10.1080/00207179.2017.1382720
英文摘要	In 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.
资助项目	Key University Project of Guangdong Province[2014KZDXM063] ; Natural Science Foundation of Guangdong Province[2015A030313636]
WOS研究方向	Automation & Control Systems
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000472091600012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34966]
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 2.Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 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.