JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (1): 74-80.doi: 10.6040/j.issn.1671-9352.0.2016.090

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Consensus problem of time-delayed multi-agent system with measurement noise

WANG Ya-jun1,2, ZHANG Shen1, HU Qing-song1, LIU Feng2, ZHANG Yu-ting2   

  1. 1. Internet of Things(Sensor Mine)Research Center, China University of Mining &
    Technology, Xuzhou 221008, Jiangsu, China;
    2. School of Science, China University of Mining and Technology, Xuzhou 221008, Jiangsu, China
  • Received:2016-03-07 Online:2017-01-20 Published:2017-01-16

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Abstract: To study the influence of noise and time delay on the average consensus of multi-agent systems, the model of time delay multi agent system with measurement noise was established. Using the stability theory of stochastic differential equations, sufficient conditions for the almost surely average consensus were derived. The influence of time delay and noise on the consensus behavior of multi-agent system was simulated, and the correctness of the theoretical results was verified.

Key words: time-delay, multi-agent system, consensus, noise

CLC Number: 

  • TP13
[1] VICSEK T, ZAFEIRISA. Collective motion [J].Physics Reports, 2012, 517:71-140.
[2] 伍巧凤.多智能体一致性迭代学习控制研究[D].杭州:浙江大学,2014. WU Qiaofeng. Lterative learning control of multi-agent consense[D]. Hangzhou: Zhejiang University, 2014.
[3] REYNOLDSCW. Flocks, herd, and schools: a distributed behavioral model[J].Computer Graphics, 1987, 21(4):15-24.
[4] VICSEK T, CZIROK A, BENJACOB E, et al. Novel type of phase transition in a system of self-deriven particles[J]. Physical Review Letters, 1995, 75:1226-1229.
[5] JADBABAIE A, LIN J, MORSE A S. Coordination of groups of mobile autonomous agents using nearest neighbor rules[J].IEEE Transacrions on Automatic Control, 2003, 48:988-1001.
[6] OLFATI-SABER R, MURRAY R M. Consensus problems in networks of agents with switching topology and time-delays[J]. IEEE Transacrion on Automatic Control, 2004, 49:1520-1532.
[7] XIAO F, WANG L. State consensus for multi-agents systems with switching topologies and time-varying delays[J].International Journal of Control, 2006, 79:1277-1284.
[8] LIN P, JIA Y, LI L.Distributed robust consensus control in directed networks of agents with time-delay[J]. Systems Control Lett, 2008, 57:643-653.
[9] LIN P, JIA Y. Average consensus in networks of multi-agents with both switching topology and coupling time-delay[J].Physica: A, 2008, 387:303-313.
[10] COUZIN I D, KRAUSE J, FRANKS N R, et al. Effective leadership and decision-making in animal groups on the move[J].Nature, 2005, 3:513-516.
[11] OLFATI-SABER R.Flocking for multi-agent dynamic systems: algorithms and theory[J].IEEE Transacrion on Automatic Control, 2006, 51:401-420.
[12] 吕淑玲,侍红军,刘峰.主从多智能体网络快速随机一致性[J]. 山东大学学报(理学版),2014,49(1):65-70. L(¨overU)Shuling, SHI Hongjun, LIU Feng. Fsat stochastic consensus of leader-following multi-agent network[J]. Journal of Shandong University(Natural Science), 2014, 49(1):65-70.
[13] CARLI R, FAGNANI F, SPERANZON A, et al. Communication constraints in the average consensus problem[J].Automatica, 2008, 44:671-684.
[14] 张志钢,张承慧,崔鹏,等.有观测时滞线性系统的白噪声最优估计[J]. 山东大学学报(理学版),2009,44(6):63-68. ZHANG Zhigang, ZHANG Chenhui, CUI Peng, et al. Optimal white noise estimatorsfor linear systems with delayed measurements[J].Journal of Shandong University(Natural Science), 2009, 44(6):63-68.
[15] WANG L, LIU Z. Robust consensus of multi-agent systems with noise[J]. Science in China Series F-Information Sciences, 2009, 52:824-834.
[16] WANG L, GUO L.Robust consensus and soft control of multi-agent systems with noise[J].Journal of Systems Science & Complexity, 2008, 21(3):406-415.
[17] YUAN C, MAO X. Robust stability and controllability of stochastic differential delay equations with Markovian switching[J].Automatica, 2004, 40:343-354.
[18] LI T, ZHANG J. Mean square average-consensus under measurement noises and fixed topologies: necessary and sufficient conditions[J]. Automatica, 2009, 45:1929-1936.
[19] SUN Y, RUAN J. Consensus problems of multi-agent systems with noise perturbation[J].Chinese Physics B, 2008, 17(11):4137-4141.
[20] SUN Y, ZHAO D H, RUAN J. Consensus in noisy environments with switching topology and time-varying delays[J].Physica: A, 2010, 389:4149-4161.
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