Normal form representation of control systems
文献类型：期刊论文
| 作者 | Cheng, DZ; Martin, CF |
| 刊名 | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
 |
| 出版日期 | 2002-04-30 |
| 卷号 | 12期号:5页码:409-433 |
| 关键词 | normal form matrix representation of ad(L) kth degree linearization Brunowsky canonical form least square approximation |
| ISSN号 | 1049-8923 |
| DOI | 10.1002/rnc.628 |
| 英文摘要 | This paper is to investigate the normal form representation of control systems. First, as numerical tools we develop an algorithm for normal form expression and the matrix representation of the Lie derivative of a linear vector field over homogeneous vector fields. The concept of normal form is modified. Necessary and sufficient conditions for a linear transformation to maintain the Brunowsky canonical form are obtained. It is then shown that the shift term can always be linearized up to any degree. Based on this fact, linearization procedure is proposed and the related algorithms are presented. Least square linear approximations are proposed for non-linearizable systems. Finally, the method is applied to the ball and beam example. The efforts are focused on the numerical and computer realization of linearization process. Copyright (C) 2002 John Wiley Sons, Ltd. |
| WOS研究方向 | Automation & Control Systems ; Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000175120600002 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17234]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Martin, CF |
| 作者单位 | 1.Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, DZ,Martin, CF. Normal form representation of control systems[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2002,12(5):409-433. |
| APA | Cheng, DZ,&Martin, CF.(2002).Normal form representation of control systems.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,12(5),409-433. |
| MLA | Cheng, DZ,et al."Normal form representation of control systems".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 12.5(2002):409-433. |
入库方式： OAI收割
来源：数学与系统科学研究院
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