Feedback stabilization via designed planar centre manifold

doi:10.1002/rnc.862

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	Feedback stabilization via designed planar centre manifold
	Dong, YL; Cheng, DZ; Qin, HS
	2004-01-10
发表期刊	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN	1049-8923
卷号	14 期号:1 页码:1-14
摘要	This paper addresses the problem of local state feedback stabilization of a class of nonlinear systems, which have planar centre manifold. A new technique for designing centre manifold has been developed. Using this approach, a sufficient condition for stabilization of a class of nonlinear system is obtained. The approach has been specified for two particular critical cases: 'zero centre' with zero eigenvalue of multiplicity 2 and 'oscillatory centre' with a pair of pure imaginary eigenvalues. The control law, which stabilizes the overall system, is also presented. Some examples are presented to indicate how the present theorem may be implemented. Copyright (C) 2003 John Wiley Sons, Ltd.
关键词	nonlinear systems centre manifold stabilization Byrnes-Isidori canonical form
DOI	10.1002/rnc.862
语种	英语
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:000187965300001
出版者	JOHN WILEY & SONS 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/19218
专题	系统科学研究所
通讯作者	Cheng, DZ
作者单位	Chinese Acad Sci, Acad Mat & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dong, YL,Cheng, DZ,Qin, HS. Feedback stabilization via designed planar centre manifold[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2004,14(1):1-14.
APA	Dong, YL,Cheng, DZ,&Qin, HS.(2004).Feedback stabilization via designed planar centre manifold.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,14(1),1-14.
MLA	Dong, YL,et al."Feedback stabilization via designed planar centre manifold".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 14.1(2004):1-14.