×

zbMATH — the first resource for mathematics

Mean square average-consensus for multi-agent systems with measurement noise and time delay. (English) Zbl 1278.93015
Summary: Mean square average consensus for multi-agent systems with measurement noise and time delay under fixed digraph is studied in this article. The time-varying consensus-gain is introduced to attenuate the measurement noise. By combining the tools of algebraic graph theory, matrix theory and stochastic analysis, consensus protocols for multi-agent systems with measurement noise and time delay are elaborately analyzed. The example and simulation results are given to illustrate the effectiveness of the obtained theoretical results. Moreover, the simulations demonstrate that, the proper consensus-gain function in the consensus protocol is the necessary and sufficient condition for the convergence of the multi-agent systems.

MSC:
93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93E03 Stochastic systems in control theory (general)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Carpenter JR, International Journal of Robust and Nonlinear Control 12 pp 141– (2002) · Zbl 1011.93081
[2] Cheng, L, Hou, ZG and Tan, M. 2008. Decentralized Adaptive Consensus Control for Multi-manipulator System with Uncertain Dynamics. IEEE International Conference on Systems, Man and Cybernetics, 2008, 12–15 October 2008. 2008. pp.2712–2717.
[3] Friedman A, Stochastic Differential Equations and Applications, Vol. 1 (1975) · Zbl 0323.60056
[4] Godsil C, Algebraic Graph Theory (2001)
[5] Guan ZH, IEEE Transactions on Circuits and Systems – I 57 pp 2182– (2010)
[6] Hou ZG, IEEE Transactions on Systems, Man, and Cybernetics, Part B 39 pp 636– (2009)
[7] Huang MY, SIAM Journal on Control and Optimization 48 pp 134– (2009) · Zbl 1182.93108
[8] Jiang HB, International Journal of Systems Science 42 pp 967– (2011) · Zbl 1233.93005
[9] Li ZK, IEEE Transactions on Circuits and Systems – I 57 pp 213– (2010)
[10] Li T, Automatica 45 pp 1929– (2009) · Zbl 1185.93006
[11] Lin P, Physica A 387 pp 303– (2008)
[12] Lu JQ, IEEE Transactions on Systems, Man and Cybernetics, Part B (Regular Paper) 40 pp 350– (2010)
[13] Lu JQ, Automatica 46 pp 1215– (2010) · Zbl 1194.93090
[14] Lu JQ, Physical Review E 80 (2009)
[15] Moreau L, IEEE Transactions on Automatic Control 50 pp 169– (2009) · Zbl 1365.93268
[16] Olfati-Saber R, Proceedings of the IEEE 95 pp 215– (2007) · Zbl 1376.68138
[17] Olfati-Saber R, IEEE Transactions on Automatic Control 49 pp 1520– (2004) · Zbl 1365.93301
[18] Papachristodoulou, A and Jadbabaie, A. 2006. Synchronization in Oscillator Networks with Heterogeneous Delays, Switching Topologies and Nonlinear Dynamics. Processing of the 45th IEEE Conference Decision and Control, December 2006. 2006. pp.4307–4312.
[19] Qu Z, IEEE Transactions on Automatic Control 53 pp 894– (2008) · Zbl 1367.93076
[20] Ren W, IEEE Transactions on Automatic Control 53 pp 1503– (2008) · Zbl 1367.93567
[21] Ren W, Distributed Consensus in Multi-vehicle Cooperative Control (2008)
[22] Shang YL, International Journal of Systems Science 43 pp 499– (2012) · Zbl 1258.93014
[23] Wu ZH, International Journal of Systems Science 43 pp 140– (2012) · Zbl 1259.93015
[24] Wu QJ, International Journal of Systems Science (2011)
[25] Xiao F, IEEE Transactions on Automatic Control 53 pp 1804– (2008) · Zbl 1367.93255
[26] Yao J, Automatica 45 pp 2107– (2009) · Zbl 1175.93208
[27] Yu WW, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 40 pp 881– (2010)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.