Stabilization of nonlinear systems via the center manifold approach

doi:10.1016/j.sysconle.2006.10.029

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	Stabilization of nonlinear systems via the center manifold approach
	Cheng, Daizhan; Guo, Yuqian
	2008-06-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	57 期号:6 页码:511-518
摘要	This 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.
关键词	stabilization center manifold Byrnes-Isidori normal form semi-tensor product
DOI	10.1016/j.sysconle.2006.10.029
语种	英语
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000255992800009
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6678
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, Daizhan
作者单位	Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 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.