PID controller design for second order nonlinear uncertain systems

doi:10.1007/s11432-016-0879-3

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	PID controller design for second order nonlinear uncertain systems
	Zhao, Cheng; Guo, Lei
	2017-02-01
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	60 期号:2 页码:13
摘要	Although the classical PID (proportional-integral-derivative) controller is most widely and successfully used in engineering systems which are typically nonlinear with various uncertainties, almost all the existing investigations on PID controller focus on linear systems. The aim of this paper is to present a theory on PID controller for nonlinear uncertain systems, by giving a simple and analytic design method for the PID parameters together with a mathematic proof for the global stability and asymptotic regulation of the closed-loop control systems. To be specific, we will construct a 3-dimensional manifold within which the three PID parameters can be chosen arbitrarily to globally stabilize a wide class of second order nonlinear uncertain dynamical systems, as long as some knowledge on the upper bound of the derivatives of the nonlinear uncertain function is available. We will also try to make the feedback gains as small as possible by investigating the necessity of the manifold from which the PID parameters are chosen, and to establish some necessary and sufficient conditions for global stabilization of several special classes of nonlinear uncertain systems.
关键词	PID controller nonlinear uncertain systems global stability Lyapunov function asymptotic regulation
DOI	10.1007/s11432-016-0879-3
语种	英语
资助项目	National Natural Science Foundation of China[11688101] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000394527300019
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24837
专题	国家数学与交叉科学中心
通讯作者	Zhao, Cheng; Guo, Lei
作者单位	Chinese Acad Sci, AMSS, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Cheng,Guo, Lei. PID controller design for second order nonlinear uncertain systems[J]. SCIENCE CHINA-INFORMATION SCIENCES,2017,60(2):13.
APA	Zhao, Cheng,&Guo, Lei.(2017).PID controller design for second order nonlinear uncertain systems.SCIENCE CHINA-INFORMATION SCIENCES,60(2),13.
MLA	Zhao, Cheng,et al."PID controller design for second order nonlinear uncertain systems".SCIENCE CHINA-INFORMATION SCIENCES 60.2(2017):13.