Feedback and uncertainty: Some basic problems and results

doi:10.1016/j.arcontrol.2020.04.001

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	Feedback and uncertainty: Some basic problems and results
	Guo, Lei
	2020
发表期刊	ANNUAL REVIEWS IN CONTROL
ISSN	1367-5788
卷号	49 页码:27-36
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.
关键词	Feedback Uncertainty Nonlinear systems Adaptive control Least-squares PID control Stability
DOI	10.1016/j.arcontrol.2020.04.001
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11688101]
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000572159500003
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52200
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.