Consensus of Fractional-Order Double-Integral Multi-Agent System in a Bounded Fluctuating Potential

被引:2
|
作者
Chen, Xi [1 ]
Luo, Maokang [1 ]
Zhang, Lu [1 ]
机构
[1] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China
关键词
fractional-order system; multi-agent system; consensus; fluctuating potential; bounded noise; SWITCHING TOPOLOGIES; COHERENCE RESONANCE; SYNCHRONIZATION; NOISE; OSCILLATORS;
D O I
10.3390/fractalfract6030147
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
At present, the consensus problem of fractional complex systems has received more attention. However, there is little literature on the consensus problem of fractional-order complex systems under noise disturbance. In this paper, we present a fractional-order double-integral multi-agent system affected by a common bounded fluctuating potential, where the protocol term consists of both the relative position and velocity information of neighboring agents. The consensus conditions of the presented system in the absence of noise are analytically given and verified by a numerical simulation algorithm. Then, the influences of the system order and other system parameters on the consensus of the presented system in the presence of bounded noise are also analyzed. It is found that when compared with the classical integer-order system, the presented fractional-order system has a larger range of consensus parameters and has more rich dynamic characteristics under the action of random noise. Especially, the bounded noise has a promoting effect on the consensus of the presented fractional-order system, while there is no similar phenomenon in the corresponding integer-order system.
引用
收藏
页数:19
相关论文
共 50 条
  • [21] Tracking Group Consensus for Fractional-order Nonlinear Multi-agent Systems
    Sun, Zhao
    Li, Weixun
    Zhang, Li
    Zhang, Limin
    PROCEEDINGS OF THE 36TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC 2024, 2024, : 3247 - 3252
  • [22] Robust consensus of fractional-order singular uncertain multi-agent system under undirected graph
    Pan, Huan
    Yu, Xinghuo
    Wen, Guanghui
    2018 IEEE 27TH INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS (ISIE), 2018, : 1161 - 1166
  • [23] Consensus for the fractional-order double-integrator multi-agent systems based on the sliding mode estimator
    Bai, Jing
    Wen, Guoguang
    Rahmani, Ahmed
    Yu, Yongguang
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (05): : 621 - 628
  • [24] Distributed optimization for consensus performance of delayed fractional-order double-integrator multi-agent systems
    Liu, Jun
    Zhou, Nan
    Qin, Kaiyu
    Chen, Badong
    Wu, Yonghong
    Choi, Kup-Sze
    NEUROCOMPUTING, 2023, 522 : 105 - 115
  • [25] Adaptive bipartite output consensus of nonlinear fractional-order multi-agent systems
    Mahmoodi, Hadi
    Shojaei, Khoshnam
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (08) : 1615 - 1638
  • [26] Asymptotical consensus of fractional-order multi-agent systems with current and delay states
    Wang, Xuhui
    Li, Xuesong
    Huang, Nanjing
    O'Regan, D.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2019, 40 (11) : 1677 - 1694
  • [27] Fractional-order consensus of multi-agent systems with event-triggered control
    Xu, Guang-Hui
    Chi, Ming
    He, Ding-Xin
    Guan, Zhi-Hong
    Zhang, Ding-Xue
    Wu, Yonghong
    11TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2014, : 619 - 624
  • [28] Asymptotical consensus of fractional-order multi-agent systems with current and delay states
    Xuhui WANG
    Xuesong LI
    Nanjing HUANG
    D.O'REGAN
    Applied Mathematics and Mechanics(English Edition), 2019, 40 (11) : 1677 - 1694
  • [29] Robust output consensus for a class of fractional-order interval multi-agent systems
    Wang, Liming
    Zhang, Guoshan
    ASIAN JOURNAL OF CONTROL, 2020, 22 (04) : 1679 - 1691
  • [30] CONSENSUS OF FRACTIONAL-ORDER UNCERTAIN MULTI-AGENT SYSTEMS BASED ON OUTPUT FEEDBACK
    Yin, Xiuxia
    Hu, Songlin
    ASIAN JOURNAL OF CONTROL, 2013, 15 (05) : 1538 - 1542