Distributed Formation Control of Fractional-order Multi-agent Systems with Relative Damping and Communication Delay

被引：20

作者：

Bai, Jing ^{[1
]}

Wen, Guoguang ^{[2
]}

Song, Yu ^{[3
]}

Rahmani, Ahmed ^{[4
]}

Yu, Yongguang ^{[2
]}

机构：

[1] Univ Sci & Technol, Sch Math & Phys, Beijing 100083, Peoples R China

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

[3] Weifang Engn Vocat Coll, Weifang 262500, Peoples R China

[4] Ecole Cent Lille, UMR CNRS 9189, CRIStAL, F-59650 Villeneuve Dascq, France

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2017年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Communication delay; formation control; fractional-order; multi-agent systems; relative damping; FOLLOWER FORMATION CONTROL; CONSENSUS TRACKING; MOBILE ROBOTS; LEADER;

D O I：

10.1007/s12555-015-0132-x

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The distributed formation control of fractional-order multi-agent systems is mainly studied under directed communication graphs in this paper. Firstly, a control law with relative damping and communication delay are proposed. Then, some sufficient conditions for achieving formation control are derived using matrix theory, graph theory and the frequency domain analysis method. Finally, based on the numerical method of predictor-corrector, several simulations are presented to illustrate the effectiveness of the obtained results.

引用

页码：85 / 94

页数：10

共 42 条

[1]

[Anonymous], INT J SYSTEMS SCI

[2]

[Anonymous], NUMERICAL METHODS NO

[3]

[Anonymous], 1974, The fractional calculus theory and applications of differentiation and integration to arbitrary order, DOI DOI 10.1016/S0076-5392(09)60219-8

[4]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[5] Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay [J].

Bai, Jing ;

Wen, Guoguang ;

Rahmani, Ahmed ;

Yu, Yongguang .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (13) :2380-2392

[6]

Bhalekar S., 2011, J. Fract. Calc. Appl, V5, P1, DOI DOI 10.1155/2011/250763

[7] Stability analysis of a class of fractional delay differential equations [J].

Bhalekar, Sachin B. .

PRAMANA-JOURNAL OF PHYSICS, 2013, 81 (02) :215-224

[8] Output tracking of uncertain fractional-order nonlinear systems via a novel fractional-order sliding mode approach [J].

Binazadeh, T. ;

Shafiei, M. H. .

MECHATRONICS, 2013, 23 (07) :888-892

[9] An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination [J].

Cao, Yongcan ;

Yu, Wenwu ;

Ren, Wei ;

Chen, Guanrong .

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2013, 9 (01) :427-438

[10] Distributed formation control for fractional-order systems: Dynamic interaction and absolute/relative damping [J].

Cao, Yongcan ;

Ren, Wei .

SYSTEMS & CONTROL LETTERS, 2010, 59 (3-4) :233-240

← 1 2 3 4 5 →