Technical Brief

Distributed Event-Triggered Quantizer in Multi-Agent Systems

[+] Author and Article Information
Huaqiang Zhang

School of Information and Electrical Engineering,
Harbin Institute of Technology at WeiHai,
WeiHai 264209, ShanDong, China
e-mail: zhq@hit.edu.cn

Yu Ren

School of Astronautics,
Harbin Institute of Technology,
Harbin 150001, HeiLongjiang, China
e-mail: 001ren.yu@gmail.com

Xinsheng Wang

Associate Professor
School of Information and Electrical Engineering,
Harbin Institute of Technology at WeiHai,
WeiHai 264209, ShanDong, China
e-mail: wangxswh@126.com

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 1, 2013; final manuscript received February 3, 2014; published online April 28, 2014. Assoc. Editor: Gregory Shaver.

J. Dyn. Sys., Meas., Control 136(4), 044504 (Apr 28, 2014) (5 pages) Paper No: DS-13-1257; doi: 10.1115/1.4026875 History: Received July 01, 2013; Revised February 03, 2014

This paper investigates a kind of consensus problem in multi-agent systems, revises an existing control input for consensus by dynamic quantizers, and also gives a visible distributed event-triggered rule to update the parameters for dynamic quantizers. In other words, distributed event-triggered dynamic quantizers are firstly proposed and employed when designing a consensus strategy for multi-agent systems by this paper. Meanwhile, the overall steps of the control strategy are included. The numerical results come to agreement with the theoretical analysis, and shows that the proposed strategy can get faster convergence speed in comparison with an existing one.

Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.


Ren, W., Beard, R., and Atkins, E., 2007, “Information Consensus in Multi-Vehicle Cooperative Control,” IEEE Control Syst., 27(2), pp. 71–82. [CrossRef]
Qin, J., Zheng, W., and Gao, H., 2011, “Consensus of Multiple Second-Order Vehicles With a Time-Varying Reference Signal Under Directed Topology,” Automatica, 47, pp. 1983–1991. [CrossRef]
Zhai, G., Okuno, S., Imae, J., and Lobayashi, T., 2010, “Extended Consensus Algorithm for Multi-Agent Systems,” IET Control Theory Appl., 4(10), pp. 2232–2238. [CrossRef]
Qin, J., and Gao, H., 2012, “A Sufficient Condition for Convergence of Sampled-Data Consensus for Double-Integrator Dynamics With Nonuniform and Time-Varying Communication Delays,” IEEE Trans. Autom. Control, 57(9), pp. 2417–2422. [CrossRef]
Olfati-Saber, R., and Murry, R., 2004, “Consensus Problems in Networks of Agents With Switching Topology and Time-Delays,” IEEE Transl. Autom. Control, 49(9), pp. 1520–1533. [CrossRef]
Qin, J., and Yu, C., 2013, “Cluster Consensus Control of Generic Linear Multi-Agent Systems Under Directed Topology With Acyclic Partition,” Automatica, 49(9), pp. 2898–2905. [CrossRef]
Cao, Y., W.Yu, W. R., and Chen, G., 2013, “An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination,” IEEE Transl. Ind. Inf., 9(1), pp. 427–438. [CrossRef]
Dimarogonas, D., and Johansson, K., 2009, “Event-Triggered Control for Multi-Agent Systems,” 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, pp. 7131–7136.
Olfati-Saber, R., Fax, J., and Murry, R., 2007, “Consensus and Cooperation in Networked Multi-Agent Systems,” Proc. IEEE, 95(1), pp. 215–233. [CrossRef]
Li, J., Xu, S., Chu, Y., and Wang, H., 2010, “Distributed Average Consensus Control in Networks of Agents Using Outdated States,” IET Control Theory Appl., 4(5), pp. 746–758. [CrossRef]
Ren, W., 2007, “Consensus Strategies for Cooperative Control of Vehicle Formations,” IET Control Theory Appl., 1(2), pp. 505–512. [CrossRef]
Nair, G., and Evans, R., 2004, “Stablizing of Stochastic Linear Systems With Finit Feedback Data Rates,” SIAM J. Control Optim., 43(2), pp. 413–436. [CrossRef]
Tatikonda, S., and Mitter, S., 2004, “Control Under Communication Constraints,” IEEE Transl. Autom. Control, 49(7), pp. 1056–1068. [CrossRef]
Wong, W., and Brockett, R., 1999, “Systems With Finite Communication Bandwidth Constraints. II. Stablization With Limited Information Feedback,” IEEE Transl. Autom. Control, 44(5), pp. 1049–1053. [CrossRef]
Li, T., Fu, M., Xie, L., and Zhang, J., 2011, “Distributed Consensus With Limited Communication Data Rate,” IEEE Transl. Autom. Control, 56(2), pp. 279–292. [CrossRef]
Carli, R., Fagnani, F., Speranzon, A., and Zampieri, S., 2008, “Communication Constraints in the Average Consensus Problem,” Automatica, 44(3), pp. 671–684. [CrossRef]
Kashay, Basar, T., and Srikant, R., 2007, “Quantized Consensus,” Automatica, 43(7), pp. 1192–1203. [CrossRef]
Dong, R., and Geng, Z., 2013, “Design and Analysis of Quantizer for Multi-Agent Systens With a Limited Rate of Communication Data,” Commun. Nonlinear Sci. Numer. Simul., 18(2), pp. 282–290. [CrossRef]
Liberzon, D., 2003, “Hybrid Feedback Stabilization of Systems With Quantized Signals,” Automatica, 39(9), pp. 1543–1554. [CrossRef]
Moreay, L., 2005, “Stability of Multi-Agent Systems With Time-Dependent Communication Links,” IEEE Transl. Autom. Control, 50(2), pp. 169–182. [CrossRef]
P.Tabuada, 2007, “Event-Triggered Real-Time Scheduling of Stabilizing Control Task,” IEEE Transl. Autom. Control, 52(9), pp. 1680–1685. [CrossRef]
Jiang, Q., Yin, H., and Yin, B., 2012, “Event-Driven Semi-Markov Switching State-Space Control Processes,” IET Control Theory Appl., 6(12), pp. 1861–1869. [CrossRef]
Fax, J., and Murray, R., 2002, “Graph Laplacians and Stabilization of Vehicle Formations,” 15th IFAC World Congress.
Sontag, E., and Wang, Y., 1995, “On Characterizations of the Input to State Stability Property,” System Control Lett., 24(5), pp. 351–359. [CrossRef]


Grahic Jump Location
Fig. 1

Example for systems described by graph theory

Grahic Jump Location
Fig. 2

Topology of the considered system

Grahic Jump Location
Fig. 3

Four agents of multi-agent system (3) under Eqs. (9) and (15) converge close to their initial average rapidly.

Grahic Jump Location
Fig. 4

Four agents of multi-agent system (3) under the actuation of centralized approach presents in Ref. [8] converge to their initial average.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In