The selection criterion of nominal model in active disturbance rejection control for non-affine uncertain systems

doi:10.1016/j.jfranklin.2019.12.023

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	The selection criterion of nominal model in active disturbance rejection control for non-affine uncertain systems
	Chen, Sen 1,2,3; Huang, Yi 2,3
	2020-04-01
发表期刊	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN	0016-0032
卷号	357 期号:6 页码:3365-3386
摘要	The active disturbance rejection control (ADRC) for uncertain systems with non-affine control input is studied in the paper. Considering a wide class of uncertainties, the necessary and sufficient condition of the nominal model for the stability of the ADRC based closed-loop system is explicitly presented, which illustrates the basic selection criterion of the nominal model for control systems. Under this proposed condition, the satisfactory transient performance can be ensured by the ADRC design. Via tuning the parameter of the extended state observer (ESO), the tracking error can be bounded in a prescribed range in the entire time domain, and the estimating error will exponentially approach a set bounded by the parameter of ESO. The tuning law of controller's parameters can be further summarized that the feedback gain determines the convergence rate of the design trajectory and the parameter of ESO contributes to the capability of disturbance rejection. Furthermore, the closed-loop system is proved to be semi-global asymptotically stable, which guarantees the steady state performance. The simulations for attitude control of flight vehicles demonstrate the theoretical results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
DOI	10.1016/j.jfranklin.2019.12.023
收录类别	SCI
语种	英语
资助项目	National Center for Mathematics and Interdisciplinary of Sciences, Chinese Academy of Sciences
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000569854000001
出版者	PERGAMON-ELSEVIER SCIENCE 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/52185
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Yi
作者单位	1.Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Chen, Sen,Huang, Yi. The selection criterion of nominal model in active disturbance rejection control for non-affine uncertain systems[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2020,357(6):3365-3386.
APA	Chen, Sen,&Huang, Yi.(2020).The selection criterion of nominal model in active disturbance rejection control for non-affine uncertain systems.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,357(6),3365-3386.
MLA	Chen, Sen,et al."The selection criterion of nominal model in active disturbance rejection control for non-affine uncertain systems".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 357.6(2020):3365-3386.