Fully Distributed Consensus Control of General Linear Multi-agent System Based on Dynamic Event-trigger

ZHANG Jixiong;LI Zonggang;NING Xiaogang;CHEN Yinjuan

CN Submission Journal Articles Figures Search
Adv. Search

  • Sponsored by: China Association for Science and Technology (CAST)

    Editor-In-Chief: Xu Yida

    ISSN 1000-1093

    　

  • Hosted By: China Ordnance Society

    Published By: Acta Armamentarii

    CN 11-2176/TJ

Acta Armamentarii, a Chinese monthly journal, was first published in 1979. The journal is supervised by China Association for Science and Technology, sponsored by China Ordnance Society，and edited and published by Editorial Board of Acta Armamentarii. The Journal is included in all important domestic databases，and also collected by Engineering Index (EI, USA), Chemical Abstracts (CA, USA), Science Abstracts (SA, UK）, Abstract Journal (AJ, Russia), and Current Bibliography on Science and Technology(CBST).Acta Armamentarii has been selected into the journal Of Ordnance Science and Technology (Weapons Industry) Field Of High Quality Scientific and Technological Periodical Classification Catalogue (2022 edition), ranking T1, and the journal of Automotive Engineering Field of High Quality Scientific and technological Periodical classification Catalogue, ranking T2.
Acta Armamentarii ›› 2023, Vol. 44 ›› Issue (S2) : 223-234. DOI: 10.12382/bgxb.2023.0664
Paper

Fully Distributed Consensus Control of General Linear Multi-agent System Based on Dynamic Event-trigger

  • ZHANG Jixiong1,2，LI Zonggang1,2*, NING Xiaogang1,2, CHEN Yinjuan1,2
Author information +
History +

Abstract

For the consensus control problem of general linear multi-agent system under event-trigger, the existing algorithms mostly adopt static triggering method, and there is global information in the design of consensus protocol, which can not realize fully distributed control. A consensus protocol based on dynamic event-triggering is proposed to solve this problem. The scalar gain of the graph is adaptively adjusted to realize the fully distributed solution of consensus problem by introducing the time-varying coupling weight. For the problem of continuously detecting the trigger conditions in event-triggered control, an individual-based state estimator is introduced to estimate its own state during the trigger interval, which reduces the number of communications between agents. Based on the selected Lyapunov function, a dynamic trigger function is designed to couple the state estimation value, measurement error and adaptive parameters of the system, which significantly reduces the number of triggers and the energy consumption of the system. Numerically calculated results show that the proposed consensus protocol can achieve asymptotic consensus without Zeno behavior. Simulated results show that the proposed protocol can effectively reduce system energy consumption and save communication resources.

Key words

multi-agentsystem / consensusproblem / generallinearsystem / dynamicevent-trigger / fullydistributedalgorithm

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
ZHANG Jixiong，LI Zonggang, NING Xiaogang, CHEN Yinjuan. Fully Distributed Consensus Control of General Linear Multi-agent System Based on Dynamic Event-trigger. Acta Armamentarii. 2023, 44(S2): 223-234 https://doi.org/10.12382/bgxb.2023.0664

References

[1]于镝,王亚洁,赵博,等.动态事件触发机制下多智能体系统固定时间跟踪[J].兵工学报， 2023,44(5):1403-1413.
YU D, WANG Y J, ZHAO B, et al.Fixed-time tracking control of multi-agent systems under dynamic event-triggering mechanism[J]. Acta Armamentarii, 2023,44(5)： 1403-1413. (in Chinese)
[2]张栋,马苏慧,吕石,等.多智能体系统事件触发一致性研究综述[J]. 北京理工大学学报, 2022,42(10):1059-1072.
ZHANG D, MA S H, L S, et al. A survey of event-triggered consensus for multi-agent systems [J]. Transactions of Beijing Institute of Technology, 2022,42(10)： 1059-1072. (in Chinese)
[3]HONGH F, YU W W, WEN X H, et al. Fixed-time connectivity-preserving distributed average tracking for multiagent systems[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2017, 64(10): 1192-1196.
[4]STROMK J, BERN H B. Comparison of periodic and event based sampling for first-order stochastic systems[J]. IFAC Proceedings Volumes, 1999, 32(2): 5006-5011.
[5]ZHAOG L, HUA C C, GUAN X P. Distributed event-triggered consensus of multiagent systems with communication delays: a hybrid system approach[J]. IEEE Transactions on Cybernetics, 2019, 50(7): 3169-3181.
[6]ELLISP. Extension of phase plane analysis to quantized systems[J]. IRE Transactions on Automatic Control, 1959, 4(2): 43-54.
[7]LIUJ, ZHANG Y L, SUN C Y, et al. Fixed-time consensus of multi-agent systems with input delay and uncertain disturbances via event-triggered control[J]. Information Sciences, 2019, 480: 261-272.
[8]RANG T, LIU J, LI C J, et al. Event-based finite-time consensus control of second-order delayed multi-agent systems[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2020, 68(1): 276-280.
[9]PIANY, CARLO F, DIMOS V D. Distributed event-triggered communication and control of linear multiagent systems under tactile communication[J]. IEEE Transactions on Automatic Control, 2018, 63(11): 3979-3985.
[10]LIL， HUANG M. Event-triggered consensus control for singular multi-agent systems based on observers[J]. Transactions of the Institute of Measurement and Control,2023,45(9):1661-1672.
[11]XUES S， LI H， CAO H，et al. Distributed edge-event-triggered consensus of multi-agent system under DoS attack[J]. Pattern Recognition Letters,2023,174:118-123.
[12]YUANF, FENG G, WANG Y, et al. Distributed event-triggered control of multi-agent systems with combinational measurements[J]. Automatica, 2013, 49(2): 671-675.
[13]CHENGT H, KAN Z, KLOTZ J R, et al. Event-triggered control of multiagent systems for fixed and time-varying network topologies[J]. IEEE Transactions on Automatic Control, 2017, 62(10): 5365-5371.
[14]ZUOZ Y, KE R Q, HAN Q L. Fully distributed adaptive practical fixed-time consensus protocols for multi-agent systems[J]. Automatica,2023,157：111248.
[15]RENW H， ZHANG X X. Fully distributed containment control of second-order nonlinear multi-agent systems using disturbance observer with directed graph[J]. Information Sciences,2023,649：119629.
[16]FRANCESCHELLIM, GASPARRI A, GIUA A, et al. Decentralized estimation of Laplacian eigenvalues in multi-agent systems[J]. Automatica, 2013, 49(4): 1031-1036.
[17]YANGD, REN W, LIU X, et al. Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs[J]. Automatica, 2016, 69: 242-249.
[18]CHENGB, LI Z K. Fully distributed event triggered protocols for linear multiagent networks[J]. IEEE Transactions on Automatic Control, 2018, 64(4): 1655-1662.
[19]XUW, HE W, HO D W C, et al. Fully distributed observer-based consensus protocol: adaptive dynamic event-triggered schemes[J]. Automatica, 2022, 139：110188.
[20]LIUX P， SONG J B， ZHANG X X. Fully distributed leader-follower consensus for multi-agent systems based on reduced-order adaptive feedback protocol[J]. Transactions of the Institute of Measurement and Control,2023,45(13):2526-2535.
[21]HUW F, YANG C H, HUANG T W, et al. A distributed dynamic event-triggered control approach to consensus of linear multiagent systems with directed networks[J]. IEEE Transactions on Cybernetics, 2018, 50(2): 869-874.
[22]ZHAOG L, WEI H, FU X. Distributed dynamic event-triggered control approach to multi-agent systems via adaptive consensus protocols[J]. Asian Journal of Control, 2022, 24(3): 1486-1496.
[23]HEEMELSW P M H, DONKERS M C F, Teel A R. Periodic event-triggered control for linear systems[J]. IEEE Transactions on Automatic Control, 2012, 58(4): 847-861.
[24]SUNJ， GUO C， LIU L，et al. Adaptive consensus control of second-order nonlinear multi-agent systems with event-dependent intermittent communications[J]. Journal of the Franklin Institute,2023,360(3):2289-2306.
[25]SUNJ， GUO C， SHAN Q H, et al. Consensus of multi-agent systems with state-dependent intermittent communication[J]. Transactions of the Institute of Measurement and Control,2023,45(11):2070-2080.
[26]ZHANGH, QIU J B, YAN H C, et al. An estimator-based dynamic event-triggered protocol for linear multiagent systems[J]. IEEE Control Systems Letters, 2022, 6: 2629-2634.
[27]YANGY Q， GE M F， LIANG C D，et al. Predefined-time formation control of NASVs with fully discontinuous communication: a novel hierarchical event-triggered scheme[J]. Ocean Engineering,2023,268：113422.
[28]ANTOINEG. Dynamic triggering mechanisms for event-triggered control[J]. IEEE Transactions on Automatic Control, 2015, 60(7):1992-1997.
[29]DUX N， QU S C， ZHANG H R，et al. Distributed bipartite consensus for multi-agent systems with dynamic event-triggered mechanism[J]. Journal of the Franklin Institute,2023,360(12): 8877-8897.
[30]XUW, HE W, HO D W C, et al. Fully distributed observer-based consensus protocol: adaptive dynamic event-triggered schemes[J]. Automatica, 2022, 139：110188.
[31]邓甲,王付永,刘忠信,等.动态事件触发机制下二阶多智能体系统完全分布式控制[J/OL].控制理论与应用,2023(2023-10-17)[2023-11-26]. http:∥kns.cnki.net/kcms/detail/44.1240.TP.20230106.1723.01.html.
DENG J, WANG F Y, LIU Z X, et al. Fully distributed control of second-order multi-agent systems under dynamic event-triggered mechanism [J/OL].Control Theory & Application, 2023( 2023-10-17 ).(in Chinese)
[32]WUY, ZHANG H, WANG Z, et al. Distributed event-triggered consensus of general linear multiagent systems under directed graphs[J]. IEEE Transactions on Cybernetics, 2020, 52(1): 608-619.br>


25

Accesses

0

Citation

Detail
Sections
Recommended

/

〈 〉