Observer-Based Time-Varying Formation Control of Fractional-Order Multi-Agent Systems With General Linear Dynamics

被引：77

作者：

Gong, Yufei ^{[1
]}

Wen, Guoguang ^{[1
]}

Peng, Zhaoxia ^{[2
]}

Huang, Tingwen ^{[3
]}

Chen, Yiwen ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

[2] Beihang Univ, Sch Transportat Sci & Engn, Beijing 100191, Peoples R China

[3] Texas A&M Univ Qatar, Sci Program, Doha 23874, Qatar

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2020年 / 67卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multi-agent systems; time-varying formation control; fractional-order; observer-based protocol; CONSENSUS; PROTOCOLS;

D O I：

10.1109/TCSII.2019.2899063

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief addresses the time-varying formation control (TVFC) problem for fractional-order multi-agent systems (MASs) with general linear dynamics under fixed and switching directed interaction topologies respectively, where the fractional-order alpha satisfies a general condition of alpha is an element of (0, n]. Considering only the output information are available, the observer-based distributed control protocols are proposed to realize TVFC. By a class of linear transformations, the TVFC problem converts into the asymptotical stability problem of a new system. Sufficient conditions for fractional-order MASs are derived by employing the stability theory of fractional-order systems, matrix theory, algebraic graph theory, Laplace transformation, and Mittag-Leffler function. Finally, two numerical simulations are presented to validate the theoretical analysis.

引用

页码：82 / 86

页数：5

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