Global EPD regulation of uncertain nonlinear systems without global normal forms

doi:10.1002/rnc.5749

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	Global EPD regulation of uncertain nonlinear systems without global normal forms
	Zhao, Cheng; Guo, Lei
	2021-08-26
发表期刊	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN	1049-8923
页码	18
摘要	This article considers the global regulation problem for a class of non-affine nonlinear uncertain systems. We will investigate the extended proportional-derivative (EPD) controller together with its parameters design. The EPD controller is the natural extension of the classical PD control, which adjusts the input signal by using the regulation error together with its derivatives only. We will show that under some suitable conditions on nonlinearity and uncertainty of the systems, the regulation error of the closed-loop system will converge to 0 exponentially, provided that the EPD controller parameters are chosen from an n-dimensional unbounded set constructed in the article. In contrast to most of the existing literature on controller design of nonlinear systems, we do not require such special system structures as normal or triangular forms. We will also give an example where the regulation problem is solvable globally by the classical PD control, while the controlled system cannot be transformed into the nonlinear normal form globally.
关键词	extended PD control non-affine nonlinear system nonlinear normal form regulation uncertainty
DOI	10.1002/rnc.5749
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11688101]
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS记录号	WOS:000688304200001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59184
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Lei
作者单位	Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Cheng,Guo, Lei. Global EPD regulation of uncertain nonlinear systems without global normal forms[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2021:18.
APA	Zhao, Cheng,&Guo, Lei.(2021).Global EPD regulation of uncertain nonlinear systems without global normal forms.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,18.
MLA	Zhao, Cheng,et al."Global EPD regulation of uncertain nonlinear systems without global normal forms".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2021):18.