Sampled-data based average consensus of second-order integral multi-agent systems: Switching topologies and communication noises

被引：159

作者：

Cheng, Long ^{[1
]}

Wang, Yunpeng ^{[1
]}

Hou, Zeng-Guang ^{[1
]}

Tan, Min ^{[1
]}

Cao, Zhiqiang ^{[1
]}

机构：

[1] Chinese Acad Sci, SKLMCCS, Inst Automat, Beijing 100190, Peoples R China

来源：

AUTOMATICA | 2013年 / 49卷 / 05期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Multi-agent system; Average consensus; Noise; Second-order integral dynamics; Sampled-data; CONVERGENCE; ALGORITHMS; AGENTS;

D O I：

10.1016/j.automatica.2013.02.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A distributed sampled-data based protocol is proposed for the average consensus of second-order integral multi-agent systems under switching topologies and communication noises. Under the proposed protocol, it is proved that sufficient conditions for ensuring mean square average consensus are: the consensus gain satisfies the stochastic approximation type condition and the communication topology graph at each sampling instant is a balanced graph with a spanning tree. Moreover, if the consensus gain takes some particular forms, the proposed protocol can solve the almost sure average consensus problem as well. Compared with the previous work, the distinguished features of this paper lie in that: (1) a sampled-data based stochastic approximation type protocol is proposed for the consensus of second-order integral multi-agent systems; (2) both communication noises and switching topologies are simultaneously considered; and (3) average consensus can be reached not only in the mean square sense but also in the almost sure sense. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1458 / 1464

页数：7

共 18 条

[1]

[Anonymous], 2009, APPL MATH SERIES DIS

[2] Sampled-data discrete-time coordination algorithms for double-integrator dynamics under dynamic directed interaction [J].

Cao, Yongcan ;

Ren, Wei .

INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (03) :506-515

[3] Solving a modified consensus problem of linear multi-agent systems [J].

Cheng, Long ;

Hou, Zeng-Guang ;

Lin, Yingzi ;

Tan, Min ;

Zhang, Wenjun .

AUTOMATICA, 2011, 47 (10) :2218-2223

[4] Necessary and Sufficient Conditions for Consensus of Double-Integrator Multi-Agent Systems With Measurement Noises [J].

Cheng, Long ;

Hou, Zeng-Guang ;

Tan, Min ;

Wang, Xu .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (08) :1958-1963

[5] Neural-Network-Based Adaptive Leader-Following Control for Multiagent Systems with Uncertainties [J].

Cheng, Long ;

Hou, Zeng-Guang ;

Tan, Min ;

Lin, Yingzi ;

Zhang, Wenjun .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (08) :1351-1358

[6]

Chow Y. S., 1997, Probability theory. Independence, interchangeability, martingales, Vthird

[7] Decentralized Robust Adaptive Control for the Multiagent System Consensus Problem Using Neural Networks [J].

Hou, Zeng-Guang ;

Cheng, Long ;

Tan, Min .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (03) :636-647

[8] Stochastic consensus over noisy networks with Markovian and arbitrary switches [J].

Huang, Minyi ;

Dey, Subhrakanti ;

Nair, Girish N. ;

Manton, Jonathan H. .

AUTOMATICA, 2010, 46 (10) :1571-1583

[9] COORDINATION AND CONSENSUS OF NETWORKED AGENTS WITH NOISY MEASUREMENTS: STOCHASTIC ALGORITHMS AND ASYMPTOTIC BEHAVIOR [J].

Huang, Minyi ;

Manton, Jonathan H. .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (01) :134-161

[10] Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics [J].

Li, Shihua ;

Du, Haibo ;

Lin, Xiangze .

AUTOMATICA, 2011, 47 (08) :1706-1712

← 1 2 →