中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Stabilization of nonlinear systems via designed center manifold

文献类型:期刊论文

作者Cheng, DZ; Martin, C
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2001-09-01
卷号46期号:9页码:1372-1383
关键词approximate stability center manifold injection degree Lyapunov function with homogeneous derivative zero dynamics
ISSN号0018-9286
英文摘要This paper addresses the problem of the local state feedback stabilization of a class of nonlinear systems with nonminimum phase zero dynamics. A new technique, namely, the Lyapunov function with homogeneous derivative along solution curves has been developed to test the approximate stability of the dynamics on the center manifold. A set of convenient sufficient conditions are provided to test the negativity of the homogeneous derivatives. Using these conditions and assuming the zero dynamics has stable and center linear parts, a method is proposed to design controls such that the dynamics on the designed center manifold of the closed-loop system is approximately stable. It is proved that using this method, the first variables in each of the integral chains of the linearized part of the system do not affect the approximation order of the dynamics on the center manifold. Based on this fact, the concept of injection degree is proposed. According to different kinds of injection degrees certain sufficient conditions are obtained for the stabilizability of the nonminimum phase zero dynamics. Corresponding formulas are presented for the design of controls.
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000170926500003
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/16424]  
专题中国科学院数学与系统科学研究院
通讯作者Cheng, DZ
作者单位1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
2.Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
推荐引用方式
GB/T 7714
Cheng, DZ,Martin, C. Stabilization of nonlinear systems via designed center manifold[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2001,46(9):1372-1383.
APA Cheng, DZ,&Martin, C.(2001).Stabilization of nonlinear systems via designed center manifold.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,46(9),1372-1383.
MLA Cheng, DZ,et al."Stabilization of nonlinear systems via designed center manifold".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 46.9(2001):1372-1383.

入库方式: OAI收割

来源:数学与系统科学研究院

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