Leader-Following Exponential Consensus of Fractional-Order Descriptor Multiagent Systems With Distributed Event-Triggered Strategy

被引：52
作者：
Zhang, Huaguang [1 ,2 ]
Gao, Zhiyun [2 ]
Wang, Yingchun [2 ]
Cai, Yuliang [2 ]
机构：
[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Peoples R China
[2] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2022年 / 52卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Protocols; Multi-agent systems; Convergence; Power system dynamics; Asymptotic stability; Topology; State feedback; Event-triggered control (ETC); fractional-order descriptor multiagent systems (FOD-MASs); leader-following exponential consensus; Zeno behavior; OUTPUT CONSENSUS; TRACKING CONTROL; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; FEEDBACK CONTROL; POWER-SYSTEMS; DESIGN;
D O I：
10.1109/TSMC.2021.3082549
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article, the leader-following exponential consensus problem of fractional-order descriptor multiagent systems (FOD-MASs) with event-triggered control (ETC) protocol is investigated, which includes integer-order descriptor multiagent systems as the special case. Two classes of control schemes and the corresponding event-triggered conditions are presented, respectively. First, a distributed state feedback ETC protocol is developed to reach the leader-following exponential consensus. The leader-following exponential consensus is achieved in the sense of the Mittag-Leffler stability of fractional-order systems. Second, when full-state measurements are not available, a novel observer-type output feedback ETC strategy with some desirable characteristics is provided. For two distributed ETC protocols, consensus conditions are derived and convergence rate of the system can be adjusted. Also, the integral inequality is applied to get the fact that Zeno behavior is excluded, which verifies the feasibility of ETC schemes. Finally, the effectiveness of conclusions is demonstrated by the examples.
引用
收藏
页码：3967 / 3979
页数：13
相关论文
共 59 条
[1]   Lyapunov functions for fractional order systems [J].
Aguila-Camacho, Norelys ;
Duarte-Mermoud, Manuel A. ;
Gallegos, Javier A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :2951-2957
[2]   Finite-time consensus of linear multi-agent system via distributed event-triggered strategy [J].
Cao, Zhengran ;
Li, Chuandong ;
Wang, Xin ;
Huang, Tingwen .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (03) :1338-1350
[3]   Distributed containment control of fractional-order uncertain multi-agent systems [J].
Chen, Jie ;
Guan, Zhi-Hong ;
Yang, Chao ;
Li, Tao ;
He, Ding-Xin ;
Zhang, Xian-He .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (07) :1672-1688
[4]   Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks [J].
Chen, Jiejie ;
Zeng, Zhigang ;
Jiang, Ping .
NEURAL NETWORKS, 2014, 51 :1-8
[5]   Robustness of Interdependent Power Grids and Communication Networks: A Complex Network Perspective [J].
Chen, Zhenhao ;
Wu, Jiajing ;
Xia, Yongxiang ;
Zhang, Xi .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2018, 65 (01) :115-119
[6]  
Duan GR, 2010, ADV MECH MATH, V23, P1, DOI 10.1007/978-1-4419-6397-0_1
[7]   Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems [J].
Duarte-Mermoud, Manuel A. ;
Aguila-Camacho, Norelys ;
Gallegos, Javier A. ;
Castro-Linares, Rafael .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) :650-659
[8]   Distributed event-triggered control of multi-agent systems with combinational measurements [J].
Fan, Yuan ;
Feng, Gang ;
Wang, Yong ;
Song, Cheng .
AUTOMATICA, 2013, 49 (02) :671-675
[9]   Leader-following consensus for discrete-time descriptor multi-agent systems with observer-based protocols [J].
Gao, Lixin ;
Cui, Yulong ;
Chen, Wenhai ;
Chen, Wenxiu .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2016, 38 (11) :1353-1364
[10]   Semi-global leader-following output consensus for heterogeneous fractional-order multi-agent systems with input saturation via observer-based protocol [J].
Gao, Zhiyun ;
Zhang, Huaguang ;
Zhang, Juan ;
Sun, Shaoxin .
NEUROCOMPUTING, 2020, 402 :298-306
123456