Stabilization of general nonlinear control systems via center manifold and approximation techniques

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	Stabilization of general nonlinear control systems via center manifold and approximation techniques
	Cheng, DZ; Xi, ZR; Feng, G
	2004-07-01
发表期刊	JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
ISSN	1079-2724
卷号	10 期号:3 页码:315-327
摘要	This paper considers the stabilization of a class of general nonlinear control systems. Under some mild conditions, a general nonlinear control system can be transformed into a normal form, which is suitable for the center manifold approach. A kind of controller in the polynomial form is proposed to stabilize the systems. First, the type and degree of controllers are chosen to assure the approximation degree of the center manifold. Then the coefficients are chosen to make the dynamics of the center manifold of the closed-loop systems stable. To test the approximate stability of the dynamics on the center manifold, the Lyapunov function with homogeneous derivative proposed in [6] is used.
关键词	general nonlinear control system accessibility Lie algebra stabilization center manifold
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000222603800002
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19424
专题	系统科学研究所
通讯作者	Cheng, DZ
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China 2.City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Cheng, DZ,Xi, ZR,Feng, G. Stabilization of general nonlinear control systems via center manifold and approximation techniques[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2004,10(3):315-327.
APA	Cheng, DZ,Xi, ZR,&Feng, G.(2004).Stabilization of general nonlinear control systems via center manifold and approximation techniques.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,10(3),315-327.
MLA	Cheng, DZ,et al."Stabilization of general nonlinear control systems via center manifold and approximation techniques".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 10.3(2004):315-327.