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 1; Guo, Bao-Zhu1,2,3
	2019-05-04
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	92 期号:5 页码:1103-1116
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.
关键词	Stochastic nonlinear systems active disturbance rejection control extended state observer stochastic disturbance reference tracking stability
DOI	10.1080/00207179.2017.1382720
语种	英语
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
WOS类目	Automation & Control Systems
WOS记录号	WOS:000472091600012
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34967
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, 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.