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PID controller design for second order nonlinear uncertain systems

文献类型：期刊论文

作者Zhao, Cheng; Guo, Lei
刊名SCIENCE CHINA-INFORMATION SCIENCES
出版日期2017-02-01
卷号60期号:2页码:13
关键词PID controller nonlinear uncertain systems global stability Lyapunov function asymptotic regulation
ISSN号1674-733X
DOI10.1007/s11432-016-0879-3
英文摘要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.
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
语种英语
WOS记录号WOS:000394527300019
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24836]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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