Uncoupled PID Control of Coupled Multi-Agent Nonlinear Uncertain systems

doi:10.1007/s11424-018-7335-1

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	Uncoupled PID Control of Coupled Multi-Agent Nonlinear Uncertain systems
	Yuan, Shuo 1,2; Zhao, Cheng 1,2; Guo, Lei1
	2018-02-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	31 期号:1 页码:4-21
摘要	In this paper, PID (proportional-integral-derivative) controllers will be designed to solve the tracking problem for a class of coupled multi-agent systems, where each agent is described by a second-order high-dimensional nonlinear uncertain dynamical system, which only has access to its own tracking error information and does not need to communicate with others. This paper will show that a 3-dimensional manifold can be constructed based on the information about the Lipschitz constants of the system nonlinear dynamics, such that whenever the three parameters of each PID controller are chosen from the manifold, the whole multi-agent system can be stabilized globally and the tracking error of each agent approaches to zero asymptotically. For a class of coupled first-order multi-agent nonlinear uncertain systems, a PI controller will be designed to stabilize the whole system.
关键词	Coupled multi-agent system global stability Lipschitz condition nonlinear uncertain dynamics PID controller.
DOI	10.1007/s11424-018-7335-1
语种	英语
资助项目	National Natural Science Foundation of China[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000426304800002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29640
专题	国家数学与交叉科学中心
通讯作者	Yuan, Shuo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Shuo,Zhao, Cheng,Guo, Lei. Uncoupled PID Control of Coupled Multi-Agent Nonlinear Uncertain systems[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2018,31(1):4-21.
APA	Yuan, Shuo,Zhao, Cheng,&Guo, Lei.(2018).Uncoupled PID Control of Coupled Multi-Agent Nonlinear Uncertain systems.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,31(1),4-21.
MLA	Yuan, Shuo,et al."Uncoupled PID Control of Coupled Multi-Agent Nonlinear Uncertain systems".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 31.1(2018):4-21.