The synchronization of linear systems under quantized measurements

被引：17
作者：
Xu, Yiming [1 ]
Wang, Jinzhi [1 ]
机构：
[1] Peking Univ, Dept Mech & Aerosp Engn, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2013年 / 62卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Multi-agent systems; Uniform quantizer; Logarithmic quantizer; Synchronization; Consensus; MULTIAGENT SYSTEMS; CONSENSUS; NETWORKS;
D O I：
10.1016/j.sysconle.2013.07.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the synchronization of high order linear systems in the presence of quantized relative state information. Using the Lyapunov method and non-smooth analysis, it is shown that when a uniform quantizer is used, the original multi-agent system can reach finite-time practical synchronization under the given communication protocol. It is also pointed out that when a logarithmic quantizer is considered, the given systems can reach synchronization under some conditions. The obtained results generalized the existing results of single integrator systems and double integrator systems. Numerical examples are given to illustrate the given results. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：972 / 980
页数：9
相关论文
共 27 条
[1]   Quantized average consensus via dynamic coding/decoding schemes [J].
Carli, Ruggero ;
Bullo, Francesco ;
Zampieri, Sandro .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (02) :156-175
[2]  
Censi A., 2009, AM CONTR C
[3]   Discontinuities and hysteresis in quantized average consensus [J].
Ceragioli, Francesca ;
De Persis, Claudio ;
Frasca, Paolo .
AUTOMATICA, 2011, 47 (09) :1916-1928
[4]   COORDINATION OF PASSIVE SYSTEMS UNDER QUANTIZED MEASUREMENTS [J].
De Persis, Claudio ;
Jayawardhana, Bayu .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (06) :3155-3177
[5]   Stability analysis for multi-agent systems using the incidence matrix: Quantized communication and formation control [J].
Dimarogonas, Dimos V. ;
Johansson, Karl H. .
AUTOMATICA, 2010, 46 (04) :695-700
[6]   Design and analysis of quantizer for multi-agent systems with a limited rate of communication data [J].
Dong, Runsha ;
Geng, Zhiyong .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (02) :282-290
[7]   Synchronization of weighted networks and complex synchronized regions [J].
Duan, Zhisheng ;
Chen, Guanrong ;
Huang, Lin .
PHYSICS LETTERS A, 2008, 372 (21) :3741-3751
[8]   Complex network synchronizability: Analysis and control [J].
Duan, Zhisheng ;
Chen, Guanrong ;
Huang, Lin .
PHYSICAL REVIEW E, 2007, 76 (05)
[9]   H2 norm accumulation and its impact on synchronisation of complex dynamical networks [J].
Duan, Zhisheng ;
Wang, Jinzhi ;
Chen, Guanrong ;
Huang, Lin .
INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (12) :2356-2364
[10]   Disconnected Synchronized Regions of Complex Dynamical Networks [J].
Duan, Zhisheng ;
Chen, Guanrong ;
Huang, Lin .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (04) :845-849
123