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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
Source PublicationJOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
ISSN1079-2724
Volume10Issue:3Pages:315-327
AbstractThis 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.
Keywordgeneral nonlinear control system accessibility Lie algebra stabilization center manifold
Language英语
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000222603800002
PublisherKLUWER ACADEMIC/PLENUM PUBL
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19424
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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