Control of Nonlinear Uncertain Systems by Extended PID

doi:10.1109/TAC.2020.3030876

CSpace

	Control of Nonlinear Uncertain Systems by Extended PID
	Zhao, Cheng 1; Guo, Lei 2
	2021-08-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	66 期号:8 页码:3840-3847
摘要	Since the classical proportional-integral-derivative (PID) controller is the most widely and successfully used ones in industrial processes, it is of vital importance to investigate theoretically the rationale of this ubiquitous controller in dealing with nonlinearity and uncertainty. Recently, we have investigated the capability of the classical PID control for second-order nonlinear uncertain systems, and provided some analytic design methods for the choices of PID parameters, where the system is assumed to be in the form of cascade integrators. In this article, we will consider the natural extension of the classical PID control for high-order affine-nonlinear uncertain systems. In contrast to most of the literature on controller design of nonlinear systems, we do not require such special system structures as normal or triangular forms, thanks to the strong robustness of the extend PID controller. To be specific, we will show that under some suitable conditions on nonlinearity, and uncertainty of the systems, the extended PID controller can semiglobally stabilize the nonlinear uncertain systems, and at the same time the regulation error converges to zero exponentially fast, as long as the control parameters are chosen from an open unbounded parameter manifold constructed in this article.
关键词	Nonlinear systems Uncertain systems PD control PI control Uncertainty Design methodology Regulation Affine nonlinear systems diffeomorphism normal form proportional-integral-derivative (PID) control regulation system uncertainty
DOI	10.1109/TAC.2020.3030876
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 ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000678334500041
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58988
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	1.Shandong Univ, Res Ctr Math & Interdisciplinary Sci, Shandong 266237, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Cheng,Guo, Lei. Control of Nonlinear Uncertain Systems by Extended PID[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2021,66(8):3840-3847.
APA	Zhao, Cheng,&Guo, Lei.(2021).Control of Nonlinear Uncertain Systems by Extended PID.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,66(8),3840-3847.
MLA	Zhao, Cheng,et al."Control of Nonlinear Uncertain Systems by Extended PID".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 66.8(2021):3840-3847.