Containment control of fractional discrete-time multi-agent systems with nonconvex constraints

被引：9
|
作者：
Yuan, Xiaolin [1 ]
Mo, Lipo [2 ,3 ]
Yu, Yongguang [1 ]
Ren, Guojian [1 ]
机构：
[1] Beijing Jiaotong Univ, Sch Sci, Dept Math, Beijing 100044, Peoples R China
[2] Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China
[3] Guizhou Inst Technol, Key Lab Power Big Data Guizhou Prov, Guiyang 550003, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 409卷
基金：
中国国家自然科学基金;
关键词：
Containment control; Fractional-order; Multi-agent systems; Nonconvex constraints;
D O I：
10.1016/j.amc.2021.126378
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the containment control problem of fractional discrete-time multiagent systems (FDTMASs) with nonconvex velocity and control input constraints. First, distributed containment controllers with nonlinear projection algorithms are proposed for all followers. Then, some sufficient conditions are deduced during the convergence analysis of the closed-loop systems. By using Lyapunov stability theory and properties of fractional calculus, it proved that the containment control of the systems could be achieved with the distributed containment controller. Finally, some numerical examples are given to show the correctness of the proposed theoretical results. (C) 2021 Elsevier Inc. All rights reserved.
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页数：12
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