Stabilization of general nonlinear control systems via center manifold and approximation techniques
文献类型：期刊论文
| 作者 | Cheng, DZ ; Xi, ZR; Feng, G
|
| 刊名 | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
 |
| 出版日期 | 2004-07-01 |
| 卷号 | 10期号:3页码:315-327 |
| 关键词 | general nonlinear control system accessibility Lie algebra stabilization center manifold |
| ISSN号 | 1079-2724 |
| 英文摘要 | 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. |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000222603800002 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19423]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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