Consensus of Discrete-Time Linear Multiagent Systems With Communication, Input and Output Delays

被引:81
作者
Xu, Xiang [1 ]
Liu, Lu [1 ]
Feng, Gang [1 ]
机构
[1] City Univ Hong Kong, Dept Mech & Biomed Engn, Hong Kong, Hong Kong, Peoples R China
关键词
Discrete-time multiagent system; output consensus; switching topology; time delays; CONVERGENCE; STABILITY; MATRICES; STATE;
D O I
10.1109/TAC.2017.2720703
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 note addresses the output consensus problem of discrete-time heterogeneous linear multiagent systems with switching topology and time delays. Three types of time delays are considered: communication delays, input delays, and output delays. A distributed predictor-based controller is proposed and it is shown that the output consensus problem can be solved via the proposed controller. A key to the proof of our main results is the establishment of a new property of graphs, that is, uniform sequential connectivity and uniform quasi-strong connectivity are equivalent. A simulation example is provided to illustrate the effectiveness of our results.
引用
收藏
页码:492 / 497
页数:6
相关论文
共 23 条
[1]   CONVERGENCE SPEED OF UNSTEADY DISTRIBUTED CONSENSUS: DECAY ESTIMATE ALONG THE SETTLING SPANNING-TREES [J].
Angeli, David ;
Bliman, Pierre-Alexandre .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (01) :1-32
[2]   EXPONENTIAL CONVERGENCE OF PRODUCTS OF STOCHASTIC MATRICES [J].
ANTHONISSE, JM ;
TIJMS, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 59 (02) :360-364
[3]   On primitivity of sets of matrices [J].
Blondel, Vincent D. ;
Jungers, Raphael M. ;
Olshevsky, Alex .
AUTOMATICA, 2015, 61 :80-88
[4]   Reaching a consensus in a dynamically changing environment: A graphical approach [J].
Cao, Ming ;
Morse, A. Stephen ;
Anderson, Brian D. O. .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (02) :575-600
[5]   Leader-foll owing coordination of multi-agent systems with coupling time delays [J].
Hu, Jiangping ;
Hong, Yiguang .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 374 (02) :853-863
[6]   Recursive predictor design for state and output feedback controllers for linear time delay systems [J].
Jankovic, Mrdjan .
AUTOMATICA, 2010, 46 (03) :510-517
[7]   Overview: Collective Control of Multiagent Systems [J].
Knorn, Steffi ;
Chen, Zhiyong ;
Middleton, Richard H. .
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2016, 3 (04) :334-347
[8]   Output Consensus of Heterogeneous Linear Discrete-Time Multiagent Systems With Structural Uncertainties [J].
Li, Shaobao ;
Feng, Gang ;
Luo, Xiaoyuan ;
Guan, Xinping .
IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (12) :2868-2879
[9]   Consensus of a Class of Second-Order Multi-Agent Systems With Time-Delay and Jointly-Connected Topologies [J].
Lin, Peng ;
Jia, Yingmin .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (03) :778-784
[10]   Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies [J].
Lin, Peng ;
Jia, Yingmin .
AUTOMATICA, 2009, 45 (09) :2154-2158