Time-varying formation-containment control of discrete-time heterogeneous multi-agent systems

被引:0
|
作者
Han N.-N. [1 ]
Luo X.-Y. [2 ]
Zhu Y.-K. [3 ]
机构
[1] College of Electrical Engineering, Longdong University, Qingyang
[2] School of Electrical Engineering, Yanshan University, Qinhuangdao
[3] School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao
来源
Kongzhi yu Juece/Control and Decision | 2019年 / 34卷 / 08期
关键词
Discrete-time system; Formation-containment; Heterogeneous multi-agent system; Time-varying delay;
D O I
10.13195/j.kzyjc.2018.0097
中图分类号
学科分类号
摘要
To investigate the formation-containment problem of discrete-time heterogeneous multi-agent systems, the formation-containment protocols with time-varying delay are presented. Firstly, based on reasonable hypothesises, by model transformation and state space decomposition, the problem of formation-containment is transformed into stability problem of subsystems. By using the Lyapunov-Krasovskii function, the sufficient conditions that guarantee the effectiveness of the proposed protocols are presented in the form of LMIs, and it is pointed out that the number of LMIs is independent of that of agents. Then, the formation reference function is also described in detail, and the proof illustrates that the formation reference function is not affected by time-varying delay. Finally, the simulation results demonstrate the effectiveness of the designed protocols. © 2019, Editorial Office of Control and Decision. All right reserved.
引用
收藏
页码:1803 / 1808
页数:5
相关论文
共 16 条
  • [1] Zhao H.Y., Leader-following consensus of sata-sampled multi-agent systems with stochastic switching topologies, Neurocomputing, 167, C, pp. 172-178, (2015)
  • [2] Zhang X.J., Cui B.T., Lou K., Leaderless and leader-following consensus of linear multi-agent systems, Chinese Physics B, 23, 11, (2014)
  • [3] Dai P.P., Liu C.L., Liu F., Consensus problem of heterogeneous multi-agent systems with time delay under fixed and switching topologies, Int J of Automation and Computing, 11, 3, pp. 340-346, (2014)
  • [4] Mu X.W., Zheng B.J., Liu K., L<sub>2</sub>-L<sub>∞</sub> containment control of multi-agent systems with markovia switching topologies and non-uniform time-varying delays, IET Control Theory and Application, 8, 10, pp. 863-872, (2014)
  • [5] Haghshenas H., Badamchizadeh M.A., Baradarannia M., Containment control of heterogeneous linear multi-agent systems, Automatica, 54, C, pp. 210-216, (2015)
  • [6] Ferrari-Trecate G., Egerstedt M., Buffa A., Et al., Laplacian sheep: A hybrid, stop-go policy for leader-based containment control, Hybrid System: Compution and Control, 3927, 10, pp. 212-226, (2006)
  • [7] Dimarogonas D.V., Egerstedt M., Kyriakopoulos K.J., A leader-based containment control strategy for multiple unicycles, Proc of 45th IEEE Conf on Decision and Control, pp. 5968-5973, (2006)
  • [8] Zheng B.J., Mu X.W., Formation-containment control of second-order multi-agent systems with only sampled position data, Int J of Systems Science, 47, 15, pp. 3609-3618, (2016)
  • [9] Dong X.W., Shi Z.Y., Lu G., Et al., Formation-containment analysis and design for high-order linear time-invariant swarm systems, Int J of Robust Nonlinear Control, 25, 17, pp. 3439-3456, (2015)
  • [10] Dong X.W., Li Q.D., Ren Z., Et al., Output formation-containment analysis and design for general linear time-invariant multi-agent systems, J of the Franklin Institute, 353, 2, pp. 322-344, (2016)