Consensus analysis for a class of mixed-order multi-agent systems with nonlinear consensus protocols

被引:7
作者
Feng, Yuanzhen [1 ]
Tu, Xiaoming [2 ]
机构
[1] Nanjing Univ Posts & Telecommun, Dept Math & Comp Sci, Nanjing, Jiangsu, Peoples R China
[2] Nanjing Med Univ, Dept Math & Comp Sci, Nanjing 210029, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Consensus; mixed-order multi-agent systems; nonlinear consensus protocol; FINITE-TIME CONSENSUS; DISTRIBUTED CONSENSUS; NETWORKS; AGENTS; COORDINATION; DYNAMICS;
D O I
10.1177/0142331214534111
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The consensus problem for a class of mixed-order multi-agent systems is investigated in this paper, where the multi-agent system is composed of first- and second-order dynamic agents. Firstly, consensus protocols are proposed for solving the finite-time consensus problem for mixed-order multi-agent systems. By employing the finite-time stability theory and LaSalle's invariance principle, some sufficient conditions for finite-time consensus are given for multi-agent systems with directed communication topologies. Then, a class of nonlinear consensus protocols are given to solve the asymptotic consensus problem for mixed-order multi-agent systems. In addition, an invariant quantity is introduced to specify the expressions of the final consensus states when asymptotic consensus is reached. Finally, a simulation example is provided to demonstrate the effectiveness of the theoretical results.
引用
收藏
页码:147 / 153
页数:7
相关论文
共 28 条
  • [1] Finite-time stability of continuous autonomous systems
    Bhat, SP
    Bernstein, DS
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) : 751 - 766
  • [2] Finite-time distributed consensus via binary control protocols
    Chen, Gang
    Lewis, Frank L.
    Xie, Lihua
    [J]. AUTOMATICA, 2011, 47 (09) : 1962 - 1968
  • [3] Complex emergent dynamics of anisotropic swarms: Convergence vs oscillation
    Chu, Tianguang
    Wang, Long
    Chen, Tongwen
    Mu, Shumei
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (04) : 875 - 885
  • [4] Finite-time convergent gradient flows with applications to network consensus
    Cortés, Jorge
    [J]. AUTOMATICA, 2006, 42 (11) : 1993 - 2000
  • [5] Consensus of heterogeneous first- and second-order multi-agent systems with directed communication topologies
    Feng, Yuanzhen
    Xu, Shengyuan
    Lewis, Frank L.
    Zhang, Baoyong
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (03) : 362 - 375
  • [6] Godsil C., 2001, Algebraic graph theory
  • [7] Coordination of groups of mobile autonomous agents using nearest neighbor rules
    Jadbabaie, A
    Lin, J
    Morse, AS
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) : 988 - 1001
  • [8] Lee D, 2006, P AMER CONTR CONF, V1-12, P756
  • [9] Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics
    Li, Shihua
    Du, Haibo
    Lin, Xiangze
    [J]. AUTOMATICA, 2011, 47 (08) : 1706 - 1712
  • [10] Stationary consensus of heterogeneous multi-agent systems with bounded communication delays
    Liu, Cheng-Lin
    Liu, Fei
    [J]. AUTOMATICA, 2011, 47 (09) : 2130 - 2133