KMS Of Academy of mathematics and systems sciences, CAS
| Global EPD regulation of uncertain nonlinear systems without global normal forms | |
| Zhao, Cheng; Guo, Lei | |
| 2021-08-26 | |
| Source Publication | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
 |
| ISSN | 1049-8923 |
| Pages | 18 |
| Abstract | This article considers the global regulation problem for a class of non-affine nonlinear uncertain systems. We will investigate the extended proportional-derivative (EPD) controller together with its parameters design. The EPD controller is the natural extension of the classical PD control, which adjusts the input signal by using the regulation error together with its derivatives only. We will show that under some suitable conditions on nonlinearity and uncertainty of the systems, the regulation error of the closed-loop system will converge to 0 exponentially, provided that the EPD controller parameters are chosen from an n-dimensional unbounded set constructed in the article. In contrast to most of the existing literature on controller design of nonlinear systems, we do not require such special system structures as normal or triangular forms. We will also give an example where the regulation problem is solvable globally by the classical PD control, while the controlled system cannot be transformed into the nonlinear normal form globally. |
| Keyword | extended PD control non-affine nonlinear system nonlinear normal form regulation uncertainty |
| DOI | 10.1002/rnc.5749 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11688101] |
| WOS Research Area | Automation & Control Systems ; Engineering ; Mathematics |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied |
| WOS ID | WOS:000688304200001 |
| Publisher | WILEY |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59184 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Guo, Lei |
| Affiliation | Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Zhao, Cheng,Guo, Lei. Global EPD regulation of uncertain nonlinear systems without global normal forms[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2021:18. |
| APA | Zhao, Cheng,&Guo, Lei.(2021).Global EPD regulation of uncertain nonlinear systems without global normal forms.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,18. |
| MLA | Zhao, Cheng,et al."Global EPD regulation of uncertain nonlinear systems without global normal forms".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2021):18. |
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