Average dwell-time conditions for consensus of discrete-time linear multi-agent systems with switching topologies and time-varying delays

被引：2

作者：

Ge, Yan-Rong ^{[1
,2
]}

Chen, Yang-Zhou ^{[1
]}

Zhang, Ya-Xiao ^{[1
]}

机构：

[1] College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing

[2] College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang

来源：

Zidonghua Xuebao/Acta Automatica Sinica | 2014年 / 40卷 / 11期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Average dwelltime; Consensus; Directed switching information topologies; Linear matrix inequalities (LMIs); Multi-agent systems (MASs); Time-varying delay;

D O I：

10.1016/s1874-1029(14)60407-9

中图分类号：

学科分类号：

摘要：

This paper investigates the consensus problem of discrete-time linear multi-agent systems (DLMASs) with directed switching information topologies and time-varying delays. First, we transform the consensus problem to an asymptotic stability problem of a corresponding time-delayed switched linear system (TDSLS) via a proper linear transformation. Then by using a constructed Lyapunov functional and the average dwell-time scheme, we establish a novel delay-dependent sufficient condition for the solvability of the consensus problem in terms of linear matrix inequalities (LMIs) for two cases, respectively: 1) all of the given information topologies are consensusable; 2) some of the given information topologies are consensusable. Finally, numerical examples are given to show the validness of the established results. ©, 2014, Acta Automatica Sinica. All rights reserved.

引用

页码：2609 / 2617

页数：8

共 32 条

[1]

Lynch N.A., Distributed Algorithms, (1996)

[2]

Chen J., Yu M., Dou L.H., Gan M.G., A fast averaging synchronization algorithm for clock oscillators in nonlinear dynamical network with arbitrary time-delays, Acta Automatica Sinica, 36, 6, pp. 873-880, (2010)

[3]

Tsitsiklis J.N., Athans M., Convergence and asymptotic agreement in distributed decision problems, IEEE Transactions on Automatic Control, 29, 1, pp. 42-50, (1984)

[4]

Carli R., Chiuso A., Schensto L., Zampieri S., Distributed Kalman filtering based on consensus strategies, IEEE Journal on Selected Areas in Communications, 26, 4, pp. 622-633, (2008)

[5]

Serpedin E., Chaudhari Q.M., Synchronization in Wireless Sensor Networks: Parameter Estimation, Performance Benchmarks, and Protocols, (2009)

[6]

Olfati-Saber R., Jalalkamali P., Coupled distributed estimation and control for mobile sensor networks, IEEE Transactions on Automatic Control, 57, 10, pp. 2609-2614, (2012)

[7]

Fax J.A., Murray R.M., Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, 49, 9, pp. 1465-1476, (2004)

[8]

Ren W., On consensus algorithms for double-integrator dynamics, IEEE Transactions on Automatic Control, 53, 6, pp. 1503-1509, (2008)

[9]

Huang Q.Z., Consensus analysis of multi-agent discrete-time systems, Acta Automatica Sinica, 38, 7, pp. 1127-1133, (2012)

[10]

Yan J., Guan X.P., Luo X.Y., Yang X., Consensus and trajectory planning with input constraints for multi-agent systems, Acta Automatica Sinica, 38, 7, pp. 1074-1082, (2012)

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