Feedback and uncertainty: Some basic problems and results
文献类型：期刊论文
| 作者 | Guo, Lei |
| 刊名 | ANNUAL REVIEWS IN CONTROL
 |
| 出版日期 | 2020 |
| 卷号 | 49页码:27-36 |
| 关键词 | Feedback Uncertainty Nonlinear systems Adaptive control Least-squares PID control Stability |
| ISSN号 | 1367-5788 |
| DOI | 10.1016/j.arcontrol.2020.04.001 |
| 英文摘要 | This paper will review some fundamental results in the understanding of several basic problems concerning feedback and uncertainty. First, we will consider adaptive control of linear stochastic systems, in particular, the global stability and optimality of the well-known self-tuning regulators, designed by combining the least-squares estimator with the minimum variance controller. This natural and seemingly simple case had actually been a longstanding central problem in the area of adaptive control, and its solution offers valuable insights necessary for understanding more complex problems. Next, we will discuss the theoretical foundation of the classical proportional-integral-derivative (PID) control, to understand the rationale behind its widespread successful applications in control practice where almost all of the systems to be controlled are nonlinear with uncertainties, by presenting some theorems on the global stability and asymptotic optimality of the closed-loop systems, and by providing a concrete design method for the PID parameters. Finally, we will consider more fundamental problems on the maximum capability and limitations of the feedback mechanism in dealing with uncertain nonlinear systems, where the feedback mechanism is defined as the class of all possible feedback laws. Some extensions and perspectives will also be discussed in the paper. (C) 2020 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11688101] |
| WOS研究方向 | Automation & Control Systems |
| 语种 | 英语 |
| WOS记录号 | WOS:000572159500003 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52199]  |
| 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, Key Lab Syst & Control, ISS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Lei. Feedback and uncertainty: Some basic problems and results[J]. ANNUAL REVIEWS IN CONTROL,2020,49:27-36. |
| APA | Guo, Lei.(2020).Feedback and uncertainty: Some basic problems and results.ANNUAL REVIEWS IN CONTROL,49,27-36. |
| MLA | Guo, Lei."Feedback and uncertainty: Some basic problems and results".ANNUAL REVIEWS IN CONTROL 49(2020):27-36. |
入库方式： OAI收割
来源：数学与系统科学研究院
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