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Stabilization of nonlinear systems via the center manifold approach
Cheng, Daizhan; Guo, Yuqian
2008-06-01
Source PublicationSYSTEMS & CONTROL LETTERS
ISSN0167-6911
Volume57Issue:6Pages:511-518
AbstractThis paper considers the problem of the stabilization of affine nonlinear control systems. First, we assume that the systems under investigation are of the generalized Byrnes-Isidori normal form. A new way to approximate the center manifold is proposed, which can reduce the error degree of the center manifold approximation. A new matrix product, called the semi-tensor product, is introduced to obtain the approximation of the center manifold. Then the Lyapunov function with homogeneous derivative (LFHD) is used to design a stable center manifold by state feedback control. Finally, the method is applied to general affine nonlinear control systems. (C) 2008 Elsevier B.V. All rights reserved.
Keywordstabilization center manifold Byrnes-Isidori normal form semi-tensor product
DOI10.1016/j.sysconle.2006.10.029
Language英语
WOS Research AreaAutomation & Control Systems ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science
WOS IDWOS:000255992800009
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/6678
Collection中国科学院数学与系统科学研究院
Corresponding AuthorCheng, Daizhan
AffiliationChinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Cheng, Daizhan,Guo, Yuqian. Stabilization of nonlinear systems via the center manifold approach[J]. SYSTEMS & CONTROL LETTERS,2008,57(6):511-518.
APA Cheng, Daizhan,&Guo, Yuqian.(2008).Stabilization of nonlinear systems via the center manifold approach.SYSTEMS & CONTROL LETTERS,57(6),511-518.
MLA Cheng, Daizhan,et al."Stabilization of nonlinear systems via the center manifold approach".SYSTEMS & CONTROL LETTERS 57.6(2008):511-518.
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