A consensus protocol considering Lipschitz constant and communication topology condition of high-order nonlinear multi-agent systems

被引：9

作者：

Wen, Hao ^{[1
,2
,4
]}

Zhou, Hexiong ^{[2
]}

Fu, Jian ^{[1
,2
]}

Yao, Baoheng ^{[1
,2
,3
,4
]}

Lian, Lian ^{[1
,2
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Oceanog, Shanghai 200030, Peoples R China

[2] Shanghai Jiao Tong Univ, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China

[3] Second Inst Oceanog, Hangzhou 310012, Peoples R China

[4] Shanghai Jiao Tong Univ, Inst Polar & Ocean Technol, Inst Marine Equipment, Shanghai 200030, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2022年 / 111卷

基金：

国家重点研发计划;

关键词：

Nonlinear consensus; High-order consensus; Lipschitz condition; Multi-agent systems; DISTRIBUTED CONSENSUS; TRACKING CONTROL; DYNAMICS; SEEKING; DESIGN;

D O I：

10.1016/j.cnsns.2022.106499

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new protocol is proposed for the consensus of multi-agent systems with the properties of high-order and nonlinearity for every single system. It is assumed that the nonlinear function of the sub-agent is restricted by the Lipschitz condition, and in addition, there are two kinds of communication topology structures among the members. The protocol combines the eigenvalues of the Laplace matrix and the Lipschitz constant of the multiagent system. By reasonably designing the Lyapunov function, the convergence condition of the system is divided into two parts which are connected by an unknown quantity k Except for quantity k the connection of other parts of the protocol is loose, which makes the protocol more flexible. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：21

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