On Convergence of Nonlinear Active Disturbance Rejection Control for SISO Nonlinear Systems

doi:10.1007/s10883-015-9304-5

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	On Convergence of Nonlinear Active Disturbance Rejection Control for SISO Nonlinear Systems
	Zhao, Zhi-Liang 1; Guo, Bao-Zhu2,3
	2016-04-01
发表期刊	JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
ISSN	1079-2724
卷号	22 期号:2 页码:385-412
摘要	The active disturbance rejection control (ADRC) was proposed by Jingqing Han in the late 1990s, which offers a new and inherently robust controller building block that requires very little information of the plant. Originally, the proposal was based largely on experiments with numerous simulations on various systems of different nature. Later, the effectiveness of the control strategy has also been demonstrated in many engineering applications such as motion control, web tension regulation, and chemical processes. However, many theoretical issues, including its applicability in stabilization, output regulation remain unanswered. In this paper, we consider the nonlinear ADRC for general single input single output nonlinear systems subject to dynamical and external uncertainties. We establish conditions that guarantee the ADRC achieving closed-loop system practical stability, disturbance attenuation, and practical reference tracking. Rigorous proofs are given to show the convergence of the variables. The peaking value reduction and high-frequency noise filtering by combination of the time-varying gain in the initial stage and the constant high gain afterwards are explained by linear ADRC. Illustrative examples are also provided.
关键词	Nonlinear system Lyapunov stability Feedback stabilization Robust design
DOI	10.1007/s10883-015-9304-5
语种	英语
资助项目	National Natural Science Foundation of China ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000370145500008
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22046
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst Control, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa
推荐引用方式 GB/T 7714	Zhao, Zhi-Liang,Guo, Bao-Zhu. On Convergence of Nonlinear Active Disturbance Rejection Control for SISO Nonlinear Systems[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2016,22(2):385-412.
APA	Zhao, Zhi-Liang,&Guo, Bao-Zhu.(2016).On Convergence of Nonlinear Active Disturbance Rejection Control for SISO Nonlinear Systems.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,22(2),385-412.
MLA	Zhao, Zhi-Liang,et al."On Convergence of Nonlinear Active Disturbance Rejection Control for SISO Nonlinear Systems".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 22.2(2016):385-412.