Leader-follower consensus of uncertain variable-order fractional multi-agent systems

被引：19

作者：

Chen, Liping ^{[1
]}

Li, Xiaomin ^{[1
]}

Lopes, Antonio M. ^{[2
]}

Chu, Zhaobi ^{[1
]}

Chen, YangQuan ^{[3
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China

[2] Univ Porto, Fac Engn, LAETA, INEGI, Rua Dr Roberto Frias, P-4200465 Porto, Portugal

[3] Univ Calif Merced, Mechatron Embedded Syst & Automat Lab, Merced, CA USA

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Consensus; Fractional-order systems; Multi-agent systems; Variable-order systems; BIPARTITE CONSENSUS; TOPOLOGY;

D O I：

10.1007/s11071-023-08494-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The leader-follower consensus of a class of variable-order fractional (VOF) uncertain linear multi-agent systems is studied in this paper. Firstly, a new general lemma is proposed to find Lyapunov candidate functions for the stability of VOF systems. Secondly, according to the proposed lemma and the stability theorem of VOF systems, and by using the singular value decomposition of matrices and some related lemmas, a sufficient condition to obtain leader-follower consensus of uncertain VOF linear systems is given in the form of a linear matrix inequality. The proposed control protocol is dependent on the order of the VOF multi-agent system and is applicable to fixed-order and nonlinear VOF multi-agent systems. Finally, the feasibility and effectiveness of the approach are verified by using some numerical simulations.

引用

页码：12283 / 12296

页数：14

共 55 条

[31] Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition [J].

Qin, Jiahu ;

Yu, Changbin .

AUTOMATICA, 2013, 49 (09) :2898-2905

[32] Consensus of fractional multi-agent systems by distributed event-triggered strategy [J].

Ren, Guojian ;

Yu, Yongguang ;

Xu, Conghui ;

Hai, Xudong .

NONLINEAR DYNAMICS, 2019, 95 (01) :541-555

[33]

Samko S., 1995, ANAL MATH, V21, P213

[34] Dynamic Event-Triggered Control for a Class of Nonlinear Fractional-Order Systems [J].

Shahvali, Milad ;

Naghibi-Sistani, Mohammad-Bagher ;

Askari, Javad .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2022, 69 (04) :2131-2135

[35] Bipartite consensus control for fractional-order nonlinear multi-agent systems: An output constraint approach [J].

Shahvali, Milad ;

Azarbahram, Ali ;

Naghibi-Sistani, Mohammad-Bagher ;

Askari, Javad .

NEUROCOMPUTING, 2020, 397 :212-223

[36] A Physical experimental study of variable-order fractional integrator and differentiator [J].

Sheng, H. ;

Sun, H. G. ;

Coopmans, C. ;

Chen, Y. Q. ;

Bohannan, G. W. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2011, 193 (01) :93-104

[37] Synthesis of multifractional Gaussian noises based on variable-order fractional operators [J].

Sheng, Hu ;

Sun, Hongguang ;

Chen, YangQuan ;

Qiu, TianShuang .

SIGNAL PROCESSING, 2011, 91 (07) :1645-1650

[38] Leader-following consensus of general fractional-order linear multi-agent systems via event-triggered control [J].

Shi, Min ;

Yu, Yajuan ;

Teng, Xinghu .

JOURNAL OF ENGINEERING-JOE, 2018, 2018 (04) :199-202

[39] Regional consensus of linear differential inclusions subject to input saturation [J].

Song, Qilin ;

Li, Yuanlong ;

Lin, Zongli .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (06) :2461-2474

[40] Self-triggered consensus control for linear multi-agent systems with input saturation [J].

Su, Yanxu ;

Wang, Qingling ;

Sun, Changyin .

IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2020, 7 (01) :150-157

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