Distributed PI Control for Consensus of Multi-agent Systems with Time-delay Under Directed Topology

被引：2

作者：

Wang, Qi ^{[1
]}

Ma, Qian ^{[1
]}

Zhou, Guopeng ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Jiangsu, Peoples R China

[2] Hubei Univ Sci & Technol, Inst Engn & Technol, Xianning, Hubei, Peoples R China

来源：

PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC) | 2019年

基金：

中国国家自然科学基金;

关键词：

Consensus; distributed PI control; multi-agent systems; time delay; 2ND-ORDER CONSENSUS; NONLINEAR DYNAMICS; SWITCHING TOPOLOGY; NETWORKS; AGENTS; ALGORITHM;

D O I：

10.23919/chicc.2019.8866024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the consensus problem of multi-agent systems with time delay under directed topology. A novel proportional-integral (PI) control protocol with a time delay is proposed for each agent to ensure the consensus. The problem of consensus is converted to a stability problem by system transformation. Sufficient conditions are obtained based on the proposed Lyapunov functional candidate using Lyapunov stability theory, graph theory and matrix theory. The proposed condition has less conservatism by adding a triple-integral term. Finally, numerical simulations are provided to illustrate the effectiveness of the results.

引用

页码：5629 / 5634

页数：6

共 20 条

[11] Second-order consensus for multi-agent systems with switching topology and communication delay [J].

Qin, Jiahu ;

Gao, Huijun ;

Zheng, Wei Xing .

SYSTEMS & CONTROL LETTERS, 2011, 60 (06) :390-397

[12] Conditions for Consensus of Multi-Agent Systems With Time-Delays and Uncertain Switching Topology [J].

Savino, H. J. ;

dos Santos, Carlos R. P., Jr. ;

Souza, Fernando O. ;

Pimenta, Luciano C. A. ;

de Oliveira, Mauricio ;

Palhares, Reinaldo M. .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2016, 63 (02) :1258-1267

[13] Robust consensus control for a class of multi-agent systems via distributed PID algorithm and weighted edge dynamics [J].

Shi, Chong-Xiao ;

Yang, Guang-Hong .

APPLIED MATHEMATICS AND COMPUTATION, 2018, 316 :73-88

[14] Adaptive second-order consensus of networked mobile agents with nonlinear dynamics [J].

Su, Housheng ;

Chen, Guanrong ;

Wang, Xiaofan ;

Lin, Zongli .

AUTOMATICA, 2011, 47 (02) :368-375

[15] A PD-Like Protocol With a Time Delay to Average Consensus Control for Multi-Agent Systems Under an Arbitrarily Fast Switching Topology [J].

Wang, Dong ;

Zhang, Ning ;

Wang, Jianliang ;

Wang, Wei .

IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (04) :898-907

[16] Consensus of third-order nonlinear multi-agent systems [J].

Xin, Youming ;

Li, Yuxia ;

Huang, Xia ;

Cheng, Zunshui .

NEUROCOMPUTING, 2015, 159 :84-89

[17] Stability of a second order consensus algorithm with time delay [J].

Yang, Wen ;

Bertozzi, Andrea L. ;

Wang, Xiaofan .

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, :2926-2931

[18] Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems [J].

Yu, Wenwu ;

Chen, Guanrong ;

Cao, Ming .

AUTOMATICA, 2010, 46 (06) :1089-1095

[19] Consensus of high-order multi-agent systems with switching topologies [J].

Zhu, Jiandong ;

Yuan, Lijun .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 443 :105-119

[20] Leader-following consensus of second-order agents with multiple time-varying delays [J].

Zhu, Wei ;

Cheng, Daizhan .

AUTOMATICA, 2010, 46 (12) :1994-1999

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