Group tracking control of second-order multi-agent systems
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- 英文论文题名：Group tracking control of second-order multi-agent systems
- 论文作者：Lin Shi ; Qing Cui ; Dongmei Xie
- 英文论文作者：Lin Shi ; Qing Cui ; Dongmei Xie ; Department of Mathematics ; Tianjin University
- 年：2017
- 作者机构：Department of Mathematics,Tianjin University;
- 英文论文关键词：Multi-agent systems(MASs) ; subgroup-divided method ; group tracking ; Markovian switching topologies
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O231
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：224k
- 原文格式：D
- 会议级别：全国
摘要
This paper focuses on studying the group consensus tracking issue of discrete time second-order multi-agent systems(MASs) under directed fixed and Markovian switching topologies, respectively. For MASs with m leaders, we first introduce a method to divide the whole MASs into m subgroups. Based on the subgroup-divided method, the condensation directed graph G of the communication topology of the whole MASs becomes a directed acyclic graph(DAG). Then, for MASs with fixed/Markovian switching topology, some sufficient/necessary and sufficient group consensus tracking criteria are established.
This paper focuses on studying the group consensus tracking issue of discrete time second-order multi-agent systems(MASs) under directed fixed and Markovian switching topologies, respectively. For MASs with m leaders, we first introduce a method to divide the whole MASs into m subgroups. Based on the subgroup-divided method, the condensation directed graph G of the communication topology of the whole MASs becomes a directed acyclic graph(DAG). Then, for MASs with fixed/Markovian switching topology, some sufficient/necessary and sufficient group consensus tracking criteria are established.
This paper focuses on studying the group consensus tracking issue of discrete time second-order multi-agent systems(MASs) under directed fixed and Markovian switching topologies, respectively. For MASs with m leaders, we first introduce a method to divide the whole MASs into m subgroups. Based on the subgroup-divided method, the condensation directed graph G of the communication topology of the whole MASs becomes a directed acyclic graph(DAG). Then, for MASs with fixed/Markovian switching topology, some sufficient/necessary and sufficient group consensus tracking criteria are established.
引文
[1]Y.Zheng,L.Wang,Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements,Systems and Control Letters,2012,61(8):871-878.
[2]M.Cao,F.Xiao,L.Wang,Event-based second-order consensus control for multi-agent systems via synchronous periodic event detection,IEEE Transactions on Automatic Control,2015,60(9):2452-2457.
[3]K.Liu,Z.Ji,G.Xie,L.Wang,Consensus for heterogeneous multi-agent systems under fixed and switching topologies,Journal of the Franklin Institute,2015,352(9):3670-3683.
[4]D.Xie,Y.Cheng,Bounded consensus tracking for sampleddata second-order multi-agent systems with fixed and Markovian switching topology,International Journal of Robust and Nonlinear Control,2015,25(2):252-268.
[5]J.Yu,L.Wang,Group consensus of multi-agent systems with directed information exchange,International Journal of Systems Science,2012,43(2):334-348.
[6]J.Yu,L.Wang,Group consensus in multi-agent systems with switching topologies and communication delays,Systems and Control Letters,2010,59(6):340-348.
[7]H.Zhao,J.Park,Y.Zhang,Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies,Applied Mathematics and Computation,2014,232:595-605.
[8]D.Xie,T.Liang,Second-order group consensus for multiagent systems with time delays,Neurcomputing,2015,153(4):133-139.
[9]J.Hu,Y.Hong,Leader-following coordination of multi-agent systems with coupling time delays,Physica A:Statistical Mechanics and its Applications,2007,853-863.
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[11]H.Zhao,W.Ren,D.Yuan,Distributed discrete-time coordinated tracking with Markovian switching topologies,Systems and Control Letters,2012,61(7):766-772.
[12]H.Xia,T.Huang,J.Shao,J.Yu,Group consensus with a dynamic leader for multi-agent systems via sapled-data control,Discrete Dynamics in Nature and Society,2014,101155-129410.
[13]Q.Ma,Z.Wang,G.Miao,Sendor-order group consensus for multi-agent systems via pinning leader-following approach,Journal of Franklin Institute,2014,351:1288-1300.
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[15]W.Yu,G.Chen,M.Cao,Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems,Automatica,2010,46(6):1089-1095.
[16]Z.Lin,B.Francis,M.Maggiore,Necessary and sufficient graphical conditions for formation control of unicycles,IEEE Transactions on Automatic Control,2005,50(1):121-127.
[17]W.Ren,Y.Cao,Distributed Coordination of Multi-Agent Networks:Emergent Problems,Models and Issues.Springer:New York,2011.
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[2]M.Cao,F.Xiao,L.Wang,Event-based second-order consensus control for multi-agent systems via synchronous periodic event detection,IEEE Transactions on Automatic Control,2015,60(9):2452-2457.
[3]K.Liu,Z.Ji,G.Xie,L.Wang,Consensus for heterogeneous multi-agent systems under fixed and switching topologies,Journal of the Franklin Institute,2015,352(9):3670-3683.
[4]D.Xie,Y.Cheng,Bounded consensus tracking for sampleddata second-order multi-agent systems with fixed and Markovian switching topology,International Journal of Robust and Nonlinear Control,2015,25(2):252-268.
[5]J.Yu,L.Wang,Group consensus of multi-agent systems with directed information exchange,International Journal of Systems Science,2012,43(2):334-348.
[6]J.Yu,L.Wang,Group consensus in multi-agent systems with switching topologies and communication delays,Systems and Control Letters,2010,59(6):340-348.
[7]H.Zhao,J.Park,Y.Zhang,Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies,Applied Mathematics and Computation,2014,232:595-605.
[8]D.Xie,T.Liang,Second-order group consensus for multiagent systems with time delays,Neurcomputing,2015,153(4):133-139.
[9]J.Hu,Y.Hong,Leader-following coordination of multi-agent systems with coupling time delays,Physica A:Statistical Mechanics and its Applications,2007,853-863.
[10]H.Zhao,Leader-following consensus of data-sampled multiagent systems with stochastic switching topologies,Neurocomputing,2015.
[11]H.Zhao,W.Ren,D.Yuan,Distributed discrete-time coordinated tracking with Markovian switching topologies,Systems and Control Letters,2012,61(7):766-772.
[12]H.Xia,T.Huang,J.Shao,J.Yu,Group consensus with a dynamic leader for multi-agent systems via sapled-data control,Discrete Dynamics in Nature and Society,2014,101155-129410.
[13]Q.Ma,Z.Wang,G.Miao,Sendor-order group consensus for multi-agent systems via pinning leader-following approach,Journal of Franklin Institute,2014,351:1288-1300.
[14]J.Qin,C.Yu,Cluster consensus control of generic linear multi-agent systems under directed toplogy with acyclic partition,Automatica,2013,49:2898-2905.
[15]W.Yu,G.Chen,M.Cao,Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems,Automatica,2010,46(6):1089-1095.
[16]Z.Lin,B.Francis,M.Maggiore,Necessary and sufficient graphical conditions for formation control of unicycles,IEEE Transactions on Automatic Control,2005,50(1):121-127.
[17]W.Ren,Y.Cao,Distributed Coordination of Multi-Agent Networks:Emergent Problems,Models and Issues.Springer:New York,2011.
[18]I.Kovacs,D.Silver,S.Williams,Determinants of block matrices and Schurs formula.American Mathematical Monthly 1999,106(5):950-952.
[19]P.Parks,V.Hahn,Stability Theory,Prentice Hall:Upper Saddle River,NJ,1993.
[20]K.Ogata,Discrete-Time Control Systems,(2nd edn).Prentice-Hall:Englewood Cliffs,NJ,1995.
[21]Y.Zhang,Y.Tian,Consentability and protocol design of multi-agent systems with stochastic switching topology,Automatica,2009,45(5):1195-1201.
[22]O.Costa,M.Fragoso,R.Marques,Discrete-Time Markov Jump Linear Systems,Springer-Verlag:London,2005.
[23]R.Horn,C.Johnson,Matrix Analysis,Cambridge University Press:Cambridge,1985.