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Uncoupled PID Control of Coupled Multi-Agent Nonlinear Uncertain systems
Yuan, Shuo1,2; Zhao, Cheng1,2; Guo, Lei1
2018-02-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume31Issue:1Pages:4-21
AbstractIn 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.
KeywordCoupled multi-agent system global stability Lipschitz condition nonlinear uncertain dynamics PID controller.
DOI10.1007/s11424-018-7335-1
Language英语
Funding ProjectNational Natural Science Foundation of China[11688101]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000426304800002
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29640
Collection国家数学与交叉科学中心
Affiliation1.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
Recommended Citation
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.
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