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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