Distributed optimal resource allocation of second-order multiagent systems
Deng, Zhenhua1; Liang, Shu2,3; Yu, Weiyong3
刊名INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
2018-09-25
卷号28期号:14页码:4246-4260
关键词distributed optimization multiagent systems resource allocation second-order systems
ISSN号1049-8923
DOI10.1002/rnc.4233
英文摘要In this paper, the resource allocation problems of multiagent systems are investigated. Different from the well-studied resource allocation problems, the dynamics of agents are taken into account in our problem, which results that the problem could not be solved by most of existing resource allocation algorithms. Here, the agents are in the form of second-order dynamics, which causes the difficulties in designing and analyzing distributed resource allocation algorithms. Based on gradient descent and state feedback, two distributed resource allocation algorithms are proposed to achieve the optimal allocation, and their convergence are analyzed by constructing suitable Lyapunov functions. One of the two algorithms can ensure that the decisions of all agents asymptotically converge to the exact optimal solution, and the other algorithm achieves the exponential convergence. Finally, numerical examples about the economic dispatch problems of power grids are given to verify the effectiveness of the obtained results.
WOS研究方向Automation & Control Systems ; Engineering ; Mathematics
语种英语
出版者WILEY
WOS记录号WOS:000442214100010
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/31089]  
专题中国科学院数学与系统科学研究院
通讯作者Deng, Zhenhua
作者单位1.Cent S Univ, Sch Informat Sci & Engn, Room 117,Dianzi Bldg,Railway Campus, Changsha 410075, Hunan, Peoples R China
2.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Minist Educ, Key Lab Knowledge Automat Ind Proc, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
推荐引用方式
GB/T 7714
Deng, Zhenhua,Liang, Shu,Yu, Weiyong. Distributed optimal resource allocation of second-order multiagent systems[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2018,28(14):4246-4260.
APA Deng, Zhenhua,Liang, Shu,&Yu, Weiyong.(2018).Distributed optimal resource allocation of second-order multiagent systems.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,28(14),4246-4260.
MLA Deng, Zhenhua,et al."Distributed optimal resource allocation of second-order multiagent systems".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 28.14(2018):4246-4260.
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