Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (4): 9-14.

Previous Articles     Next Articles

Leader-Following Consensus of Multi-Agent Systems

SONG Xiao-xin1, LI De-quan1,2   

  1. 1.College of Science,Anhui University of Science and Technology,Huainan Anhui 232001,China;
    2.Department of Automation,Shanghai Jiaotong University,Shanghai 200240,China
  • Received:2010-06-20 Published:2023-02-07

Abstract: In this paper,the leader-following consensus problem for multi-agent systems with directed networks is studied.The leader-following consensus problem for multi-agent systems is also discussed when the corresponding graph of the network is strongly connected.The designed coordination laws for thefollowes utilize the agents velocity information,then the stability of the closed-loop system is further analized based on the classical Lyapunov theory.The effect of the aggregation gains on the tracking performance of the closed-loop system is theoretically proved.Finally,simulation results validate the theoretical analysis.

Key words: multi-agent system, consensus, strongly connected

CLC Number: 

  • TP271.6
[1] FAX J A,MURRAY R M.Information flow and cooperative control of vehicle formations[J].IEEE Transactions on Automat Control,2004,49(9):1465-1476.
[2] REZA O S.Flocking for multi-agent dynamic systems:algorithms and theory[J].IEEE Transactions on Automatic Control,2006,51(3):401-420.
[3] GAZI V,PASSINO K M.Stability analysis of social foraging swarms[J].IEEE Transacions on Systems,Man and Cybernetics.Part B:Cybernetics,2004,34(1):539-557.
[4] GAZI V,PASSINO K M.A class of attractions/repulsion functions forstable swarm aggregations[J].International Journal of Control,2004,77(18):1567-1579.
[5] SINOPOLI B,SCHENATO L,FRANCESCHETTI M,et al.Kalman filtering withintermittent observations[J].IEEE Transactions on Automatic Control,2004,49(9):1453-1464.
[6] OGREN P,DIORELLI E,LEONARD N E.Cooperative control of mobiles sensor networks:adaptive gradient climbing in a distributed environment[J].IEEE Transactions on Automatic Control,2004,49(8):1292-1302.
[7] HONG Y,CHEN G,BUSHNELL L.Distributed observers design for leader-following control of multi-agent networks[J].Automatica,2008,44(3):846-850.
[8] JADBABIE A,LIN J,MORSE A S.Coordination of groups of mobile autonomous agents using nearest neighbor rules[J].IEEE Transactions on Automat Control,2003,48(6):988-1001.
[9] REN W.Consensus tracking under directed interaction topologies:algorithms and experiments[J].IEEE Transactions on Control Systems Technolog,2010,18(1):274-747.
[10] HONG Y,HU J,GAO L.Tracking control for multi-agent consensus with an active lerder and variable topology[J].Automatica.2006,42(7):1177-1182.
[11] 赵俊玲.弱跟踪性的一些性质[J].广西师范大学学报:自然科学版,2004,22(3):40-44.
[12] GUO Wan-li,CHEN Shi-hua,LU·· Jin-hu,et al.Consensus of multi-agent systems with an active leaderand asymmetric adjacency matrix[C]//IEEE Conference on Decision and Control and 28th Chinese Control Conference.Washington DC:IEEE Computer Society,2009:3697-3702.
[13] WU C W.Synchronization in complex networks of nonlinear dynamicalsystems[M].New Jersey:World Scientific Publishing Company,2007.
[14] 俞立.鲁棒控制:线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.
[1] BAI Shangwang, MA Xiaoqian, GAO Gaimei, LIU Chunxia, DANG Weichao. Byzantine Fault Tolerant Consensus Algorithm Based on Verifiable Random Function and BLS Signature [J]. Journal of Guangxi Normal University(Natural Science Edition), 2022, 40(3): 194-201.
[2] HU Wenjun. Delay Consensus of Leader-following Multi-agent Systems via the Adaptive Distributed Control [J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(1): 70-75.
[3] ZHOU Jian, WANG Li-li, Ahmed Rahmani, LIU Xin. Application of Distributed Multi-agent System in Flight Conflict Resolution [J]. Journal of Guangxi Normal University(Natural Science Edition), 2015, 33(3): 16-22.
[4] XIE Guang-qiang, ZHANG Yun, LI Yang, ZENG Qi-jie. Research of Krause's Multi-Agent Consensus Model [J]. Journal of Guangxi Normal University(Natural Science Edition), 2013, 31(3): 106-113.
[5] LIU Wei, WANG Hao, FANG Bao-fu. RoboCup-Rescue Decision Making Process Based on Binary Particle Swarm Optimization [J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(2): 130-133.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] CHEN Yong-qi, BAI Ke-zhao, KUANG hua, KONG Ling-jiang, LIU Mu-ren. Effect of Internal Layout on the Pedestrian Evacuation in the Classroom[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(1): 1 -4 .
[2] XU Lun-hui, YE Fan. Acceleration Noise Model Based on Horizontal,Vertical and LateralAcceleration[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(1): 5 -9 .
[3] YANG Li, KONG Ling-jiang. Capillary Force between Microparticles[J]. Journal of Guangxi Normal University(Natural Science Edition), 2012, 30(1): 1 -4 .
[4] HE Qing, LIU Jian, WEI Lianfu. Single-Photon Detectors as the Physical Limit Detections of Weak Electromagnetic Signals[J]. Journal of Guangxi Normal University(Natural Science Edition), 2022, 40(5): 1 -23 .
[5] BAI Ke-zhao, LUO Xu-dong, KONG Ling-jiang, LIU Mu-ren. Cellular Automaton Model of Date Transmission with Open Boundary Condition[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 1 -4 .
[6] XU Lun-hui, LIAO Ran-kun. Signal Phasing-Sequence Optimization of Intersection Based on Traffic Track[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 5 -9 .
[7] WANG Xiu-xin, QIN Li-mei, NONG Jing-hui, LIANG Zong-jin, ZHU Qi-jiang. Land Surface Temperature Retrieval with Mono-window Algorithm in Karst City[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 10 -14 .
[8] LI Yu-fang, ZHANG Jun-jian. Strong Consistency of the Regression Weighted Function Estimator for Negatively Associated Samples[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 15 -19 .
[9] JIA Bao-hua. A Strictly Stationary Associated Random Sequence Which Unsatisfythe Central Limit Theorem[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 20 -23 .
[10] CHEN Cui-ling, LI Ming, LIANG Jia-mei, LI Lüe. A Class of New Conjugate Gradient Method and Its Convergence Property Under the Wolfe Line Search[J]. Journal of Guangxi Normal University(Natural Science Edition), 2010, 28(3): 24 -28 .