Stabilization of nonlinear systems via the center manifold approach
文献类型：期刊论文
| 作者 | Cheng, Daizhan; Guo, Yuqian |
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2008-06-01 |
| 卷号 | 57期号:6页码:511-518 |
| 关键词 | stabilization center manifold Byrnes-Isidori normal form semi-tensor product |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2006.10.029 |
| 英文摘要 | 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. |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000255992800009 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6677]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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