Leaderless consensus for the fractional-order nonlinear multi-agent systems under directed interaction topology

被引：25
|
作者：
Bai, Jing [1 ]
Wen, Guoguang [2 ]
Rahmani, Ahmed [3 ]
机构：
[1] Univ Sci & Technol, Sch Math & Phys, Beijing, Peoples R China
[2] Beijing Jiaotong Univ, Dept Math, Sch Sci, Beijing, Peoples R China
[3] Ecole Cent Lille, UMR CNRS 9189, CRIStAL, Villeneuve Dascq, France
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2018年 / 49卷 / 05期
基金：
国家重点研发计划; 中国博士后科学基金; 中国国家自然科学基金;
关键词：
Leaderless consensus; fractional-order nonlinear MASs; sliding mode estimator; Lyapunov candidate function; DISTRIBUTED COORDINATION;
D O I：
10.1080/00207721.2018.1435837
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Leaderless consensus for the fractional-order nonlinear multi-agent systems is investigated in this paper. At the first part, a control protocol is proposed to achieve leaderless consensus for the nonlinear single-integrator multi-agent systems. At the second part, based on sliding mode estimator, a control protocol is given to solve leaderless consensus for the the nonlinear single-integrator multi-agent systems. It shows that the control protocol can improve the systems' convergence speed. At the third part, a control protocol is designed to accomplish leaderless consensus for the nonlinear double-integrator multi-agent systems. To judge the systems' stability in this paper, two classic continuous Lyapunov candidate functions are chosen. Finally, several worked out examples under directed interaction topology are given to prove above results.
引用
收藏
页码：954 / 963
页数：10
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