Towards a theoretical foundation of PID control for uncertain nonlinear systems
文献类型：期刊论文
| 作者 | Zhao, Cheng; Guo, Lei |
| 刊名 | AUTOMATICA
 |
| 出版日期 | 2022-08-01 |
| 卷号 | 142页码:12 |
| 关键词 | PID control Uncertain nonlinear systems Non-affine systems Global stabilization Asymptotic regulation |
| ISSN号 | 0005-1098 |
| DOI | 10.1016/j.automatica.2022.110360 |
| 英文摘要 | As is well-known, the classical PID control plays a dominating role in various control loops of industrial processes. However, a theory that can explain the rationale why the linear PID can successfully deal with the ubiquitous uncertain nonlinear dynamical systems and a method that can provide explicit design formulae for the PID parameters are still lacking. This paper is a continuation of the authors recent endeavor towards establishing a theoretical foundation of PID for nonlinear uncertain systems. In contrary to most of the existing literature on linear or affine nonlinear systems, we will consider a class of non-affine nonlinear uncertain systems, and will show that a three dimensional parameter set can be constructed explicitly, such that whenever the PID parameters are chosen from this set, the closed-loop systems will be globally stable and the regulation error will converge to zero exponentially fast, under some suitable conditions on the system uncertainties. Moreover, we will also consider the simpler PI and PD control, and provide a necessary and sufficient condition for the choice of the PI parameters for a class of one dimensional non-affine uncertain systems, by applying the Markus-Yamabe theorem in differential equations. These theoretical results show explicitly that the ubiquitous PID control does indeed have strong robustness with respect to both the system nonlinear uncertainties and the selection of the controller parameters. (C) 2022 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[12288201] |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000830850700022 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61166]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, Lei |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Cheng,Guo, Lei. Towards a theoretical foundation of PID control for uncertain nonlinear systems[J]. AUTOMATICA,2022,142:12. |
| APA | Zhao, Cheng,&Guo, Lei.(2022).Towards a theoretical foundation of PID control for uncertain nonlinear systems.AUTOMATICA,142,12. |
| MLA | Zhao, Cheng,et al."Towards a theoretical foundation of PID control for uncertain nonlinear systems".AUTOMATICA 142(2022):12. |
入库方式： OAI收割
来源：数学与系统科学研究院
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