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Feedback stabilization via designed planar centre manifold
Dong, YL; Cheng, DZ; Qin, HS
2004-01-10
Source PublicationINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
Volume14Issue:1Pages:1-14
AbstractThis 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.
Keywordnonlinear systems centre manifold stabilization Byrnes-Isidori canonical form
DOI10.1002/rnc.862
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000187965300001
PublisherJOHN WILEY & SONS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19218
Collection系统科学研究所
AffiliationChinese Acad Sci, Acad Mat & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
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.
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